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Sven Riwoldt
2023-03-22 19:51:12 +01:00
commit 4c52d4ba55
496 changed files with 88269 additions and 0 deletions
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The only purpose of this file is to practice submitting files
in the Nand to Tetris course websites in Coursera.
There is no need to modify the contents of this file.
All you have to do is submit it as is, following the
Project 0 guidelines in the website.

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| a | b | out |
| 0 | 0 | 0 |
| 0 | 1 | 0 |
| 1 | 0 | 0 |
| 1 | 1 | 1 |

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// This file is part of www.nand2tetris.org
// and the book "The Elements of Computing Systems"
// by Nisan and Schocken, MIT Press.
// File name: projects/01/And.hdl
/**
* And gate:
* out = 1 if (a == 1 and b == 1)
* 0 otherwise
*/
CHIP And {
IN a, b;
OUT out;
PARTS:
Nand(a=a ,b=b ,out=nandout);
Not(in=nandout ,out=out);
}

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projects/01/And.out Normal file
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| a | b | out |
| 0 | 0 | 0 |
| 0 | 1 | 0 |
| 1 | 0 | 0 |
| 1 | 1 | 1 |

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// This file is part of www.nand2tetris.org
// and the book "The Elements of Computing Systems"
// by Nisan and Schocken, MIT Press.
// File name: projects/01/And.tst
load And.hdl,
output-file And.out,
compare-to And.cmp,
output-list a%B3.1.3 b%B3.1.3 out%B3.1.3;
set a 0,
set b 0,
eval,
output;
set a 0,
set b 1,
eval,
output;
set a 1,
set b 0,
eval,
output;
set a 1,
set b 1,
eval,
output;

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projects/01/And16.cmp Normal file
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| a | b | out |
| 0000000000000000 | 0000000000000000 | 0000000000000000 |
| 0000000000000000 | 1111111111111111 | 0000000000000000 |
| 1111111111111111 | 1111111111111111 | 1111111111111111 |
| 1010101010101010 | 0101010101010101 | 0000000000000000 |
| 0011110011000011 | 0000111111110000 | 0000110011000000 |
| 0001001000110100 | 1001100001110110 | 0001000000110100 |

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projects/01/And16.hdl Normal file
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// This file is part of www.nand2tetris.org
// and the book "The Elements of Computing Systems"
// by Nisan and Schocken, MIT Press.
// File name: projects/01/And16.hdl
/**
* 16-bit bitwise And:
* for i = 0..15: out[i] = (a[i] and b[i])
*/
CHIP And16 {
IN a[16], b[16];
OUT out[16];
PARTS:
Nand16(a=a,b=b,out=outnand);
Not16(in=outnand,out=out);
}

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projects/01/And16.out Normal file
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| a | b | out |
| 0000000000000000 | 0000000000000000 | 0000000000000000 |
| 0000000000000000 | 1111111111111111 | 0000000000000000 |
| 1111111111111111 | 1111111111111111 | 1111111111111111 |
| 1010101010101010 | 0101010101010101 | 0000000000000000 |
| 0011110011000011 | 0000111111110000 | 0000110011000000 |
| 0001001000110100 | 1001100001110110 | 0001000000110100 |

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projects/01/And16.tst Normal file
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// This file is part of www.nand2tetris.org
// and the book "The Elements of Computing Systems"
// by Nisan and Schocken, MIT Press.
// File name: projects/01/And16.tst
load And16.hdl,
output-file And16.out,
compare-to And16.cmp,
output-list a%B1.16.1 b%B1.16.1 out%B1.16.1;
set a %B0000000000000000,
set b %B0000000000000000,
eval,
output;
set a %B0000000000000000,
set b %B1111111111111111,
eval,
output;
set a %B1111111111111111,
set b %B1111111111111111,
eval,
output;
set a %B1010101010101010,
set b %B0101010101010101,
eval,
output;
set a %B0011110011000011,
set b %B0000111111110000,
eval,
output;
set a %B0001001000110100,
set b %B1001100001110110,
eval,
output;

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projects/01/DMux.cmp Normal file
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| in | sel | a | b |
| 0 | 0 | 0 | 0 |
| 0 | 1 | 0 | 0 |
| 1 | 0 | 1 | 0 |
| 1 | 1 | 0 | 1 |

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projects/01/DMux.hdl Normal file
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// This file is part of www.nand2tetris.org
// and the book "The Elements of Computing Systems"
// by Nisan and Schocken, MIT Press.
// File name: projects/01/DMux.hdl
/**
* Demultiplexor:
* {a, b} = {in, 0} if sel == 0
* {0, in} if sel == 1
*/
CHIP DMux {
IN in, sel;
OUT a, b;
PARTS:
Not(in=sel, out=notsel);
And(a=in,b=notsel,out=a);
And(a=sel,b=in,out=b);
}

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projects/01/DMux.out Normal file
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| in | sel | a | b |
| 0 | 0 | 0 | 0 |
| 0 | 1 | 0 | 0 |
| 1 | 0 | 1 | 0 |
| 1 | 1 | 0 | 1 |

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projects/01/DMux.tst Normal file
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// This file is part of www.nand2tetris.org
// and the book "The Elements of Computing Systems"
// by Nisan and Schocken, MIT Press.
// File name: projects/01/DMux.tst
load DMux.hdl,
output-file DMux.out,
compare-to DMux.cmp,
output-list in%B3.1.3 sel%B3.1.3 a%B3.1.3 b%B3.1.3;
set in 0,
set sel 0,
eval,
output;
set sel 1,
eval,
output;
set in 1,
set sel 0,
eval,
output;
set sel 1,
eval,
output;

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projects/01/DMux4Way.cmp Normal file
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| in | sel | a | b | c | d |
| 0 | 00 | 0 | 0 | 0 | 0 |
| 0 | 01 | 0 | 0 | 0 | 0 |
| 0 | 10 | 0 | 0 | 0 | 0 |
| 0 | 11 | 0 | 0 | 0 | 0 |
| 1 | 00 | 1 | 0 | 0 | 0 |
| 1 | 01 | 0 | 1 | 0 | 0 |
| 1 | 10 | 0 | 0 | 1 | 0 |
| 1 | 11 | 0 | 0 | 0 | 1 |

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projects/01/DMux4Way.hdl Normal file
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// This file is part of www.nand2tetris.org
// and the book "The Elements of Computing Systems"
// by Nisan and Schocken, MIT Press.
// File name: projects/01/DMux4Way.hdl
/**
* 4-way demultiplexor:
* {a, b, c, d} = {in, 0, 0, 0} if sel == 00
* {0, in, 0, 0} if sel == 01
* {0, 0, in, 0} if sel == 10
* {0, 0, 0, in} if sel == 11
*/
CHIP DMux4Way {
IN in, sel[2];
OUT a, b, c, d;
PARTS:
DMux(in=in, sel=sel[1], a=dmuxouta, b=dmuxoutb);
DMux(in=dmuxouta, sel=sel[0], a=a, b=b);
DMux(in=dmuxoutb, sel=sel[0], a=c, b=d);
}

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projects/01/DMux4Way.out Normal file
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| in | sel | a | b | c | d |
| 0 | 00 | 0 | 0 | 0 | 0 |
| 0 | 01 | 0 | 0 | 0 | 0 |
| 0 | 10 | 0 | 0 | 0 | 0 |
| 0 | 11 | 0 | 0 | 0 | 0 |
| 1 | 00 | 1 | 0 | 0 | 0 |
| 1 | 01 | 0 | 1 | 0 | 0 |
| 1 | 10 | 0 | 0 | 1 | 0 |
| 1 | 11 | 0 | 0 | 0 | 1 |

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projects/01/DMux4Way.tst Normal file
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// This file is part of www.nand2tetris.org
// and the book "The Elements of Computing Systems"
// by Nisan and Schocken, MIT Press.
// File name: projects/01/DMux4Way.tst
load DMux4Way.hdl,
output-file DMux4Way.out,
compare-to DMux4Way.cmp,
output-list in%B2.1.2 sel%B2.2.2 a%B2.1.2 b%B2.1.2 c%B2.1.2 d%B2.1.2;
set in 0,
set sel %B00,
eval,
output;
set sel %B01,
eval,
output;
set sel %B10,
eval,
output;
set sel %B11,
eval,
output;
set in 1,
set sel %B00,
eval,
output;
set sel %B01,
eval,
output;
set sel %B10,
eval,
output;
set sel %B11,
eval,
output;

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projects/01/DMux8Way.cmp Normal file
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| in | sel | a | b | c | d | e | f | g | h |
| 0 | 000 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
| 0 | 001 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
| 0 | 010 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
| 0 | 011 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
| 0 | 100 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
| 0 | 101 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
| 0 | 110 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
| 0 | 111 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
| 1 | 000 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
| 1 | 001 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 |
| 1 | 010 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 |
| 1 | 011 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 |
| 1 | 100 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 |
| 1 | 101 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 |
| 1 | 110 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 |
| 1 | 111 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 |

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projects/01/DMux8Way.hdl Normal file
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// This file is part of www.nand2tetris.org
// and the book "The Elements of Computing Systems"
// by Nisan and Schocken, MIT Press.
// File name: projects/01/DMux8Way.hdl
/**
* 8-way demultiplexor:
* {a, b, c, d, e, f, g, h} = {in, 0, 0, 0, 0, 0, 0, 0} if sel == 000
* {0, in, 0, 0, 0, 0, 0, 0} if sel == 001
* etc.
* {0, 0, 0, 0, 0, 0, 0, in} if sel == 111
*/
CHIP DMux8Way {
IN in, sel[3];
OUT a, b, c, d, e, f, g, h;
PARTS:
DMux(in=in, sel=sel[2], a=dmuxouta, b=dmuxoutb);
DMux4Way(in=dmuxouta, sel=sel[0..1], a=a, b=b, c=c, d=d);
DMux4Way(in=dmuxoutb, sel=sel[0..1], a=e, b=f, c=g, d=h);
// Put your code here:
}

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| in | sel | a | b | c | d | e | f | g | h |
| 0 | 000 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
| 0 | 001 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
| 0 | 010 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
| 0 | 011 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
| 0 | 100 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
| 0 | 101 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
| 0 | 110 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
| 0 | 111 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
| 1 | 000 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
| 1 | 001 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 |
| 1 | 010 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 |
| 1 | 011 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 |
| 1 | 100 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 |
| 1 | 101 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 |
| 1 | 110 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 |

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projects/01/DMux8Way.tst Normal file
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// This file is part of www.nand2tetris.org
// and the book "The Elements of Computing Systems"
// by Nisan and Schocken, MIT Press.
// File name: projects/01/DMux8Way.tst
load DMux8Way.hdl,
output-file DMux8Way.out,
compare-to DMux8Way.cmp,
output-list in%B2.1.2 sel%B2.3.2 a%B2.1.2 b%B2.1.2 c%B2.1.2 d%B2.1.2 e%B2.1.2 f%B2.1.2 g%B2.1.2 h%B2.1.2;
set in 0,
set sel %B000,
eval,
output;
set sel %B001,
eval,
output;
set sel %B010,
eval,
output;
set sel %B011,
eval,
output;
set sel %B100,
eval,
output;
set sel %B101,
eval,
output;
set sel %B110,
eval,
output;
set sel %B111,
eval,
output;
set in 1,
set sel %B000,
eval,
output;
set sel %B001,
eval,
output;
set sel %B010,
eval,
output;
set sel %B011,
eval,
output;
set sel %B100,
eval,
output;
set sel %B101,
eval,
output;
set sel %B110,
eval,
output;
set sel %B111,
eval,
output;

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projects/01/Mux.cmp Normal file
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| a | b | sel | out |
| 0 | 0 | 0 | 0 |
| 0 | 0 | 1 | 0 |
| 0 | 1 | 0 | 0 |
| 0 | 1 | 1 | 1 |
| 1 | 0 | 0 | 1 |
| 1 | 0 | 1 | 0 |
| 1 | 1 | 0 | 1 |
| 1 | 1 | 1 | 1 |

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projects/01/Mux.hdl Normal file
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// This file is part of www.nand2tetris.org
// and the book "The Elements of Computing Systems"
// by Nisan and Schocken, MIT Press.
// File name: projects/01/Mux.hdl
/**
* Multiplexor:
* out = a if sel == 0
* b otherwise
*/
CHIP Mux {
IN a, b, sel;
OUT out;
PARTS:
Not(in=sel,out=notsel);
And(a=a,b=notsel,out=outand1);
And(a=sel,b=b,out=outand2);
Or(a=outand1,b=outand2,out=out);
}

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| a | b | sel | out |
| 0 | 0 | 0 | 0 |
| 0 | 0 | 1 | 0 |
| 0 | 1 | 0 | 0 |
| 0 | 1 | 1 | 1 |
| 1 | 0 | 0 | 1 |
| 1 | 0 | 1 | 0 |
| 1 | 1 | 0 | 1 |
| 1 | 1 | 1 | 1 |

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projects/01/Mux.tst Normal file
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// This file is part of www.nand2tetris.org
// and the book "The Elements of Computing Systems"
// by Nisan and Schocken, MIT Press.
// File name: projects/01/Mux.tst
load Mux.hdl,
output-file Mux.out,
compare-to Mux.cmp,
output-list a%B3.1.3 b%B3.1.3 sel%B3.1.3 out%B3.1.3;
set a 0,
set b 0,
set sel 0,
eval,
output;
set sel 1,
eval,
output;
set a 0,
set b 1,
set sel 0,
eval,
output;
set sel 1,
eval,
output;
set a 1,
set b 0,
set sel 0,
eval,
output;
set sel 1,
eval,
output;
set a 1,
set b 1,
set sel 0,
eval,
output;
set sel 1,
eval,
output;

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projects/01/Mux16.cmp Normal file
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| a | b | sel | out |
| 0000000000000000 | 0000000000000000 | 0 | 0000000000000000 |
| 0000000000000000 | 0000000000000000 | 1 | 0000000000000000 |
| 0000000000000000 | 0001001000110100 | 0 | 0000000000000000 |
| 0000000000000000 | 0001001000110100 | 1 | 0001001000110100 |
| 1001100001110110 | 0000000000000000 | 0 | 1001100001110110 |
| 1001100001110110 | 0000000000000000 | 1 | 0000000000000000 |
| 1010101010101010 | 0101010101010101 | 0 | 1010101010101010 |
| 1010101010101010 | 0101010101010101 | 1 | 0101010101010101 |

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projects/01/Mux16.hdl Normal file
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// This file is part of www.nand2tetris.org
// and the book "The Elements of Computing Systems"
// by Nisan and Schocken, MIT Press.
// File name: projects/01/Mux16.hdl
/**
* 16-bit multiplexor:
* for i = 0..15 out[i] = a[i] if sel == 0
* b[i] if sel == 1
*/
CHIP Mux16 {
IN a[16], b[16], sel;
OUT out[16];
PARTS:
Not(in=sel,out=notsel);
And16(a=a,b[0]=notsel,b[1]=notsel,b[2]=notsel,b[3]=notsel,b[4]=notsel,b[5]=notsel,b[6]=notsel,b[7]=notsel,b[8]=notsel,b[9]=notsel,b[10]=notsel,b[11]=notsel,b[12]=notsel,b[13]=notsel,b[14]=notsel,b[15]=notsel,out=outand1);
And16(a[0]=sel,a[1]=sel,a[2]=sel,a[3]=sel,a[4]=sel,a[5]=sel,a[6]=sel,a[7]=sel,a[8]=sel,a[9]=sel,a[10]=sel,a[11]=sel,a[12]=sel,a[13]=sel,a[14]=sel,a[15]=sel,b=b,out=outand2);
Or16(a=outand1,b=outand2,out=out);
}

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projects/01/Mux16.out Normal file
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| a | b | sel | out |
| 0000000000000000 | 0000000000000000 | 0 | 0000000000000000 |
| 0000000000000000 | 0000000000000000 | 1 | 0000000000000000 |
| 0000000000000000 | 0001001000110100 | 0 | 0000000000000000 |
| 0000000000000000 | 0001001000110100 | 1 | 0001001000110100 |
| 1001100001110110 | 0000000000000000 | 0 | 1001100001110110 |

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projects/01/Mux16.tst Normal file
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// This file is part of www.nand2tetris.org
// and the book "The Elements of Computing Systems"
// by Nisan and Schocken, MIT Press.
// File name: projects/01/Mux16.tst
load Mux16.hdl,
output-file Mux16.out,
compare-to Mux16.cmp,
output-list a%B1.16.1 b%B1.16.1 sel%D2.1.2 out%B1.16.1;
set a 0,
set b 0,
set sel 0,
eval,
output;
set sel 1,
eval,
output;
set a %B0000000000000000,
set b %B0001001000110100,
set sel 0,
eval,
output;
set sel 1,
eval,
output;
set a %B1001100001110110,
set b %B0000000000000000,
set sel 0,
eval,
output;
set sel 1,
eval,
output;
set a %B1010101010101010,
set b %B0101010101010101,
set sel 0,
eval,
output;
set sel 1,
eval,
output;

9
projects/01/Mux4Way16.cmp Normal file
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| a | b | c | d | sel | out |
| 0000000000000000 | 0000000000000000 | 0000000000000000 | 0000000000000000 | 00 | 0000000000000000 |
| 0000000000000000 | 0000000000000000 | 0000000000000000 | 0000000000000000 | 01 | 0000000000000000 |
| 0000000000000000 | 0000000000000000 | 0000000000000000 | 0000000000000000 | 10 | 0000000000000000 |
| 0000000000000000 | 0000000000000000 | 0000000000000000 | 0000000000000000 | 11 | 0000000000000000 |
| 0001001000110100 | 1001100001110110 | 1010101010101010 | 0101010101010101 | 00 | 0001001000110100 |
| 0001001000110100 | 1001100001110110 | 1010101010101010 | 0101010101010101 | 01 | 1001100001110110 |
| 0001001000110100 | 1001100001110110 | 1010101010101010 | 0101010101010101 | 10 | 1010101010101010 |
| 0001001000110100 | 1001100001110110 | 1010101010101010 | 0101010101010101 | 11 | 0101010101010101 |

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projects/01/Mux4Way16.hdl Normal file
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// This file is part of www.nand2tetris.org
// and the book "The Elements of Computing Systems"
// by Nisan and Schocken, MIT Press.
// File name: projects/01/Mux4Way16.hdl
/**
* 4-way 16-bit multiplexor:
* out = a if sel == 00
* b if sel == 01
* c if sel == 10
* d if sel == 11
*/
CHIP Mux4Way16 {
IN a[16], b[16], c[16], d[16], sel[2];
OUT out[16];
PARTS:
Mux16(a=a,b=b,sel=sel[0],out=mux16out1);
Mux16(a=c,b=d,sel=sel[0],out=mux16out2);
Mux16(a=mux16out1,b=mux16out2,sel=sel[1],out=out);
}

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projects/01/Mux4Way16.out Normal file
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| a | b | c | d | sel | out |
| 0000000000000000 | 0000000000000000 | 0000000000000000 | 0000000000000000 | 00 | 0000000000000000 |
| 0000000000000000 | 0000000000000000 | 0000000000000000 | 0000000000000000 | 01 | 0000000000000000 |
| 0000000000000000 | 0000000000000000 | 0000000000000000 | 0000000000000000 | 10 | 0000000000000000 |
| 0000000000000000 | 0000000000000000 | 0000000000000000 | 0000000000000000 | 11 | 0000000000000000 |
| 0001001000110100 | 1001100001110110 | 1010101010101010 | 0101010101010101 | 00 | 0001001000110100 |
| 0001001000110100 | 1001100001110110 | 1010101010101010 | 0101010101010101 | 01 | 1001100001110110 |
| 0001001000110100 | 1001100001110110 | 1010101010101010 | 0101010101010101 | 10 | 1010101010101010 |
| 0001001000110100 | 1001100001110110 | 1010101010101010 | 0101010101010101 | 11 | 0101010101010101 |

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projects/01/Mux4Way16.tst Normal file
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// This file is part of www.nand2tetris.org
// and the book "The Elements of Computing Systems"
// by Nisan and Schocken, MIT Press.
// File name: projects/01/Mux4Way16.tst
load Mux4Way16.hdl,
output-file Mux4Way16.out,
compare-to Mux4Way16.cmp,
output-list a%B1.16.1 b%B1.16.1 c%B1.16.1 d%B1.16.1 sel%B2.2.2 out%B1.16.1;
set a 0,
set b 0,
set c 0,
set d 0,
set sel 0,
eval,
output;
set sel 1,
eval,
output;
set sel 2,
eval,
output;
set sel 3,
eval,
output;
set a %B0001001000110100,
set b %B1001100001110110,
set c %B1010101010101010,
set d %B0101010101010101,
set sel 0,
eval,
output;
set sel 1,
eval,
output;
set sel 2,
eval,
output;
set sel 3,
eval,
output;

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projects/01/Mux8Way16.cmp Normal file
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| a | b | c | d | e | f | g | h | sel | out |
| 0000000000000000 | 0000000000000000 | 0000000000000000 | 0000000000000000 | 0000000000000000 | 0000000000000000 | 0000000000000000 | 0000000000000000 | 000 | 0000000000000000 |
| 0000000000000000 | 0000000000000000 | 0000000000000000 | 0000000000000000 | 0000000000000000 | 0000000000000000 | 0000000000000000 | 0000000000000000 | 001 | 0000000000000000 |
| 0000000000000000 | 0000000000000000 | 0000000000000000 | 0000000000000000 | 0000000000000000 | 0000000000000000 | 0000000000000000 | 0000000000000000 | 010 | 0000000000000000 |
| 0000000000000000 | 0000000000000000 | 0000000000000000 | 0000000000000000 | 0000000000000000 | 0000000000000000 | 0000000000000000 | 0000000000000000 | 011 | 0000000000000000 |
| 0000000000000000 | 0000000000000000 | 0000000000000000 | 0000000000000000 | 0000000000000000 | 0000000000000000 | 0000000000000000 | 0000000000000000 | 100 | 0000000000000000 |
| 0000000000000000 | 0000000000000000 | 0000000000000000 | 0000000000000000 | 0000000000000000 | 0000000000000000 | 0000000000000000 | 0000000000000000 | 101 | 0000000000000000 |
| 0000000000000000 | 0000000000000000 | 0000000000000000 | 0000000000000000 | 0000000000000000 | 0000000000000000 | 0000000000000000 | 0000000000000000 | 110 | 0000000000000000 |
| 0000000000000000 | 0000000000000000 | 0000000000000000 | 0000000000000000 | 0000000000000000 | 0000000000000000 | 0000000000000000 | 0000000000000000 | 111 | 0000000000000000 |
| 0001001000110100 | 0010001101000101 | 0011010001010110 | 0100010101100111 | 0101011001111000 | 0110011110001001 | 0111100010011010 | 1000100110101011 | 000 | 0001001000110100 |
| 0001001000110100 | 0010001101000101 | 0011010001010110 | 0100010101100111 | 0101011001111000 | 0110011110001001 | 0111100010011010 | 1000100110101011 | 001 | 0010001101000101 |
| 0001001000110100 | 0010001101000101 | 0011010001010110 | 0100010101100111 | 0101011001111000 | 0110011110001001 | 0111100010011010 | 1000100110101011 | 010 | 0011010001010110 |
| 0001001000110100 | 0010001101000101 | 0011010001010110 | 0100010101100111 | 0101011001111000 | 0110011110001001 | 0111100010011010 | 1000100110101011 | 011 | 0100010101100111 |
| 0001001000110100 | 0010001101000101 | 0011010001010110 | 0100010101100111 | 0101011001111000 | 0110011110001001 | 0111100010011010 | 1000100110101011 | 100 | 0101011001111000 |
| 0001001000110100 | 0010001101000101 | 0011010001010110 | 0100010101100111 | 0101011001111000 | 0110011110001001 | 0111100010011010 | 1000100110101011 | 101 | 0110011110001001 |
| 0001001000110100 | 0010001101000101 | 0011010001010110 | 0100010101100111 | 0101011001111000 | 0110011110001001 | 0111100010011010 | 1000100110101011 | 110 | 0111100010011010 |
| 0001001000110100 | 0010001101000101 | 0011010001010110 | 0100010101100111 | 0101011001111000 | 0110011110001001 | 0111100010011010 | 1000100110101011 | 111 | 1000100110101011 |

24
projects/01/Mux8Way16.hdl Normal file
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// This file is part of www.nand2tetris.org
// and the book "The Elements of Computing Systems"
// by Nisan and Schocken, MIT Press.
// File name: projects/01/Mux8Way16.hdl
/**
* 8-way 16-bit multiplexor:
* out = a if sel == 000
* b if sel == 001
* etc.
* h if sel == 111
*/
CHIP Mux8Way16 {
IN a[16], b[16], c[16], d[16],
e[16], f[16], g[16], h[16],
sel[3];
OUT out[16];
PARTS:
Mux4Way16(a=a,b=b,c=c,d=d,sel=sel[0..1],out=mux4way1);
Mux4Way16(a=e,b=f,c=g,d=h,sel=sel[0..1],out=mux4way2);
Mux16(a=mux4way1,b=mux4way2,sel=sel[2],out=out);
}

17
projects/01/Mux8Way16.out Normal file
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| a | b | c | d | e | f | g | h | sel | out |
| 0000000000000000 | 0000000000000000 | 0000000000000000 | 0000000000000000 | 0000000000000000 | 0000000000000000 | 0000000000000000 | 0000000000000000 | 000 | 0000000000000000 |
| 0000000000000000 | 0000000000000000 | 0000000000000000 | 0000000000000000 | 0000000000000000 | 0000000000000000 | 0000000000000000 | 0000000000000000 | 001 | 0000000000000000 |
| 0000000000000000 | 0000000000000000 | 0000000000000000 | 0000000000000000 | 0000000000000000 | 0000000000000000 | 0000000000000000 | 0000000000000000 | 010 | 0000000000000000 |
| 0000000000000000 | 0000000000000000 | 0000000000000000 | 0000000000000000 | 0000000000000000 | 0000000000000000 | 0000000000000000 | 0000000000000000 | 011 | 0000000000000000 |
| 0000000000000000 | 0000000000000000 | 0000000000000000 | 0000000000000000 | 0000000000000000 | 0000000000000000 | 0000000000000000 | 0000000000000000 | 100 | 0000000000000000 |
| 0000000000000000 | 0000000000000000 | 0000000000000000 | 0000000000000000 | 0000000000000000 | 0000000000000000 | 0000000000000000 | 0000000000000000 | 101 | 0000000000000000 |
| 0000000000000000 | 0000000000000000 | 0000000000000000 | 0000000000000000 | 0000000000000000 | 0000000000000000 | 0000000000000000 | 0000000000000000 | 110 | 0000000000000000 |
| 0000000000000000 | 0000000000000000 | 0000000000000000 | 0000000000000000 | 0000000000000000 | 0000000000000000 | 0000000000000000 | 0000000000000000 | 111 | 0000000000000000 |
| 0001001000110100 | 0010001101000101 | 0011010001010110 | 0100010101100111 | 0101011001111000 | 0110011110001001 | 0111100010011010 | 1000100110101011 | 000 | 0001001000110100 |
| 0001001000110100 | 0010001101000101 | 0011010001010110 | 0100010101100111 | 0101011001111000 | 0110011110001001 | 0111100010011010 | 1000100110101011 | 001 | 0010001101000101 |
| 0001001000110100 | 0010001101000101 | 0011010001010110 | 0100010101100111 | 0101011001111000 | 0110011110001001 | 0111100010011010 | 1000100110101011 | 010 | 0011010001010110 |
| 0001001000110100 | 0010001101000101 | 0011010001010110 | 0100010101100111 | 0101011001111000 | 0110011110001001 | 0111100010011010 | 1000100110101011 | 011 | 0100010101100111 |
| 0001001000110100 | 0010001101000101 | 0011010001010110 | 0100010101100111 | 0101011001111000 | 0110011110001001 | 0111100010011010 | 1000100110101011 | 100 | 0101011001111000 |
| 0001001000110100 | 0010001101000101 | 0011010001010110 | 0100010101100111 | 0101011001111000 | 0110011110001001 | 0111100010011010 | 1000100110101011 | 101 | 0110011110001001 |
| 0001001000110100 | 0010001101000101 | 0011010001010110 | 0100010101100111 | 0101011001111000 | 0110011110001001 | 0111100010011010 | 1000100110101011 | 110 | 0111100010011010 |
| 0001001000110100 | 0010001101000101 | 0011010001010110 | 0100010101100111 | 0101011001111000 | 0110011110001001 | 0111100010011010 | 1000100110101011 | 111 | 1000100110101011 |

89
projects/01/Mux8Way16.tst Normal file
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// This file is part of www.nand2tetris.org
// and the book "The Elements of Computing Systems"
// by Nisan and Schocken, MIT Press.
// File name: projects/01/Mux8Way16.tst
load Mux8Way16.hdl,
output-file Mux8Way16.out,
compare-to Mux8Way16.cmp,
output-list a%B1.16.1 b%B1.16.1 c%B1.16.1 d%B1.16.1 e%B1.16.1 f%B1.16.1 g%B1.16.1 h%B1.16.1 sel%B2.3.2 out%B1.16.1;
set a 0,
set b 0,
set c 0,
set d 0,
set e 0,
set f 0,
set g 0,
set h 0,
set sel 0,
eval,
output;
set sel 1,
eval,
output;
set sel 2,
eval,
output;
set sel 3,
eval,
output;
set sel 4,
eval,
output;
set sel 5,
eval,
output;
set sel 6,
eval,
output;
set sel 7,
eval,
output;
set a %B0001001000110100,
set b %B0010001101000101,
set c %B0011010001010110,
set d %B0100010101100111,
set e %B0101011001111000,
set f %B0110011110001001,
set g %B0111100010011010,
set h %B1000100110101011,
set sel 0,
eval,
output;
set sel 1,
eval,
output;
set sel 2,
eval,
output;
set sel 3,
eval,
output;
set sel 4,
eval,
output;
set sel 5,
eval,
output;
set sel 6,
eval,
output;
set sel 7,
eval,
output;

28
projects/01/Nand16.hdl Normal file
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/**
* 16-bit bitwise And:
* for i = 0..15: out[i] = (a[i] and b[i])
*/
CHIP Nand16 {
IN a[16], b[16];
OUT out[16];
PARTS:
Nand(a=a[0],b=b[0],out=out[0]);
Nand(a=a[1],b=b[1],out=out[1]);
Nand(a=a[2],b=b[2],out=out[2]);
Nand(a=a[3],b=b[3],out=out[3]);
Nand(a=a[4],b=b[4],out=out[4]);
Nand(a=a[5],b=b[5],out=out[5]);
Nand(a=a[6],b=b[6],out=out[6]);
Nand(a=a[7],b=b[7],out=out[7]);
Nand(a=a[8],b=b[8],out=out[8]);
Nand(a=a[9],b=b[9],out=out[9]);
Nand(a=a[10],b=b[10],out=out[10]);
Nand(a=a[11],b=b[11],out=out[11]);
Nand(a=a[12],b=b[12],out=out[12]);
Nand(a=a[13],b=b[13],out=out[13]);
Nand(a=a[14],b=b[14],out=out[14]);
Nand(a=a[15],b=b[15],out=out[15]);
}

3
projects/01/Not.cmp Normal file
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@@ -0,0 +1,3 @@
| in | out |
| 0 | 1 |
| 1 | 0 |

18
projects/01/Not.hdl Normal file
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@@ -0,0 +1,18 @@
// This file is part of www.nand2tetris.org
// and the book "The Elements of Computing Systems"
// by Nisan and Schocken, MIT Press.
// File name: projects/01/Not.hdl
/**
* Not gate:
* out = not in
*/
CHIP Not {
IN in;
OUT out;
PARTS:
Nand(a=in,b=in,out=out);
// Put your code here:
}

3
projects/01/Not.out Normal file
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@@ -0,0 +1,3 @@
| in | out |
| 0 | 1 |
| 1 | 0 |

17
projects/01/Not.tst Normal file
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@@ -0,0 +1,17 @@
// This file is part of www.nand2tetris.org
// and the book "The Elements of Computing Systems"
// by Nisan and Schocken, MIT Press.
// File name: projects/01/Not.tst
load Not.hdl,
output-file Not.out,
compare-to Not.cmp,
output-list in%B3.1.3 out%B3.1.3;
set in 0,
eval,
output;
set in 1,
eval,
output;

6
projects/01/Not16.cmp Normal file
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@@ -0,0 +1,6 @@
| in | out |
| 0000000000000000 | 1111111111111111 |
| 1111111111111111 | 0000000000000000 |
| 1010101010101010 | 0101010101010101 |
| 0011110011000011 | 1100001100111100 |
| 0001001000110100 | 1110110111001011 |

32
projects/01/Not16.hdl Normal file
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// This file is part of www.nand2tetris.org
// and the book "The Elements of Computing Systems"
// by Nisan and Schocken, MIT Press.
// File name: projects/01/Not16.hdl
/**
* 16-bit Not:
* for i=0..15: out[i] = not in[i]
*/
CHIP Not16 {
IN in[16];
OUT out[16];
PARTS:
Not(in=in[0],out=out[0]);
Not(in=in[1],out=out[1]);
Not(in=in[2],out=out[2]);
Not(in=in[3],out=out[3]);
Not(in=in[4],out=out[4]);
Not(in=in[5],out=out[5]);
Not(in=in[6],out=out[6]);
Not(in=in[7],out=out[7]);
Not(in=in[8],out=out[8]);
Not(in=in[9],out=out[9]);
Not(in=in[10],out=out[10]);
Not(in=in[11],out=out[11]);
Not(in=in[12],out=out[12]);
Not(in=in[13],out=out[13]);
Not(in=in[14],out=out[14]);
Not(in=in[15],out=out[15]);
}

6
projects/01/Not16.out Normal file
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@@ -0,0 +1,6 @@
| in | out |
| 0000000000000000 | 1111111111111111 |
| 1111111111111111 | 0000000000000000 |
| 1010101010101010 | 0101010101010101 |
| 0011110011000011 | 1100001100111100 |
| 0001001000110100 | 1110110111001011 |

29
projects/01/Not16.tst Normal file
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@@ -0,0 +1,29 @@
// This file is part of www.nand2tetris.org
// and the book "The Elements of Computing Systems"
// by Nisan and Schocken, MIT Press.
// File name: projects/01/Not16.tst
load Not16.hdl,
output-file Not16.out,
compare-to Not16.cmp,
output-list in%B1.16.1 out%B1.16.1;
set in %B0000000000000000,
eval,
output;
set in %B1111111111111111,
eval,
output;
set in %B1010101010101010,
eval,
output;
set in %B0011110011000011,
eval,
output;
set in %B0001001000110100,
eval,
output;

5
projects/01/Or.cmp Normal file
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@@ -0,0 +1,5 @@
| a | b | out |
| 0 | 0 | 0 |
| 0 | 1 | 1 |
| 1 | 0 | 1 |
| 1 | 1 | 1 |

20
projects/01/Or.hdl Normal file
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@@ -0,0 +1,20 @@
// This file is part of www.nand2tetris.org
// and the book "The Elements of Computing Systems"
// by Nisan and Schocken, MIT Press.
// File name: projects/01/Or.hdl
/**
* Or gate:
* out = 1 if (a == 1 or b == 1)
* 0 otherwise
*/
CHIP Or {
IN a, b;
OUT out;
PARTS:
Not(in=a,out=nota);
Not(in=b,out=notb);
Nand(a=nota,b=notb,out=out);
}

5
projects/01/Or.out Normal file
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@@ -0,0 +1,5 @@
| a | b | out |
| 0 | 0 | 0 |
| 0 | 1 | 1 |
| 1 | 0 | 1 |
| 1 | 1 | 1 |

29
projects/01/Or.tst Normal file
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@@ -0,0 +1,29 @@
// This file is part of www.nand2tetris.org
// and the book "The Elements of Computing Systems"
// by Nisan and Schocken, MIT Press.
// File name: projects/01/Or.tst
load Or.hdl,
output-file Or.out,
compare-to Or.cmp,
output-list a%B3.1.3 b%B3.1.3 out%B3.1.3;
set a 0,
set b 0,
eval,
output;
set a 0,
set b 1,
eval,
output;
set a 1,
set b 0,
eval,
output;
set a 1,
set b 1,
eval,
output;

7
projects/01/Or16.cmp Normal file
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@@ -0,0 +1,7 @@
| a | b | out |
| 0000000000000000 | 0000000000000000 | 0000000000000000 |
| 0000000000000000 | 1111111111111111 | 1111111111111111 |
| 1111111111111111 | 1111111111111111 | 1111111111111111 |
| 1010101010101010 | 0101010101010101 | 1111111111111111 |
| 0011110011000011 | 0000111111110000 | 0011111111110011 |
| 0001001000110100 | 1001100001110110 | 1001101001110110 |

19
projects/01/Or16.hdl Normal file
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@@ -0,0 +1,19 @@
// This file is part of www.nand2tetris.org
// and the book "The Elements of Computing Systems"
// by Nisan and Schocken, MIT Press.
// File name: projects/01/Or16.hdl
/**
* 16-bit bitwise Or:
* for i = 0..15 out[i] = (a[i] or b[i])
*/
CHIP Or16 {
IN a[16], b[16];
OUT out[16];
PARTS:
Not16(in=a,out=nota);
Not16(in=b,out=notb);
Nand16(a=nota,b=notb,out=out);
}

7
projects/01/Or16.out Normal file
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@@ -0,0 +1,7 @@
| a | b | out |
| 0000000000000000 | 0000000000000000 | 0000000000000000 |
| 0000000000000000 | 1111111111111111 | 1111111111111111 |
| 1111111111111111 | 1111111111111111 | 1111111111111111 |
| 1010101010101010 | 0101010101010101 | 1111111111111111 |
| 0011110011000011 | 0000111111110000 | 0011111111110011 |
| 0001001000110100 | 1001100001110110 | 1001101001110110 |

39
projects/01/Or16.tst Normal file
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@@ -0,0 +1,39 @@
// This file is part of www.nand2tetris.org
// and the book "The Elements of Computing Systems"
// by Nisan and Schocken, MIT Press.
// File name: projects/01/Or16.tst
load Or16.hdl,
output-file Or16.out,
compare-to Or16.cmp,
output-list a%B1.16.1 b%B1.16.1 out%B1.16.1;
set a %B0000000000000000,
set b %B0000000000000000,
eval,
output;
set a %B0000000000000000,
set b %B1111111111111111,
eval,
output;
set a %B1111111111111111,
set b %B1111111111111111,
eval,
output;
set a %B1010101010101010,
set b %B0101010101010101,
eval,
output;
set a %B0011110011000011,
set b %B0000111111110000,
eval,
output;
set a %B0001001000110100,
set b %B1001100001110110,
eval,
output;

6
projects/01/Or8Way.cmp Normal file
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@@ -0,0 +1,6 @@
| in | out |
| 00000000 | 0 |
| 11111111 | 1 |
| 00010000 | 1 |
| 00000001 | 1 |
| 00100110 | 1 |

23
projects/01/Or8Way.hdl Normal file
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@@ -0,0 +1,23 @@
// This file is part of www.nand2tetris.org
// and the book "The Elements of Computing Systems"
// by Nisan and Schocken, MIT Press.
// File name: projects/01/Or8Way.hdl
/**
* 8-way Or:
* out = (in[0] or in[1] or ... or in[7])
*/
CHIP Or8Way {
IN in[8];
OUT out;
PARTS:
Or(a=in[0],b=in[1],out=or1);
Or(a=or1,b=in[2],out=or2);
Or(a=or2,b=in[3],out=or3);
Or(a=or3,b=in[4],out=or4);
Or(a=or4,b=in[5],out=or5);
Or(a=or5,b=in[6],out=or6);
Or(a=or6,b=in[7],out=out);
}

6
projects/01/Or8Way.out Normal file
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@@ -0,0 +1,6 @@
| in | out |
| 00000000 | 0 |
| 11111111 | 1 |
| 00010000 | 1 |
| 00000001 | 1 |
| 00100110 | 1 |

29
projects/01/Or8Way.tst Normal file
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@@ -0,0 +1,29 @@
// This file is part of www.nand2tetris.org
// and the book "The Elements of Computing Systems"
// by Nisan and Schocken, MIT Press.
// File name: projects/01/Or8Way.tst
load Or8Way.hdl,
output-file Or8Way.out,
compare-to Or8Way.cmp,
output-list in%B2.8.2 out%B2.1.2;
set in %B00000000,
eval,
output;
set in %B11111111,
eval,
output;
set in %B00010000,
eval,
output;
set in %B00000001,
eval,
output;
set in %B00100110,
eval,
output;

5
projects/01/Xor.cmp Normal file
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@@ -0,0 +1,5 @@
| a | b | out |
| 0 | 0 | 0 |
| 0 | 1 | 1 |
| 1 | 0 | 1 |
| 1 | 1 | 0 |

21
projects/01/Xor.hdl Normal file
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@@ -0,0 +1,21 @@
// This file is part of www.nand2tetris.org
// and the book "The Elements of Computing Systems"
// by Nisan and Schocken, MIT Press.
// File name: projects/01/Xor.hdl
/**
* Exclusive-or gate:
* out = not (a == b)
*/
CHIP Xor {
IN a, b;
OUT out;
PARTS:
Not(in=a, out=nota);
Not(in=b, out=notb);
Nand(a=nota, b=b, out=nandout1);
Nand(a=a, b=notb, out=nandout2);
Nand(a=nandout1, b=nandout2, out=out);
}

5
projects/01/Xor.out Normal file
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@@ -0,0 +1,5 @@
| a | b | out |
| 0 | 0 | 0 |
| 0 | 1 | 1 |
| 1 | 0 | 1 |
| 1 | 1 | 0 |

29
projects/01/Xor.tst Normal file
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@@ -0,0 +1,29 @@
// This file is part of www.nand2tetris.org
// and the book "The Elements of Computing Systems"
// by Nisan and Schocken, MIT Press.
// File name: projects/01/Xor.tst
load Xor.hdl,
output-file Xor.out,
compare-to Xor.cmp,
output-list a%B3.1.3 b%B3.1.3 out%B3.1.3;
set a 0,
set b 0,
eval,
output;
set a 0,
set b 1,
eval,
output;
set a 1,
set b 0,
eval,
output;
set a 1,
set b 1,
eval,
output;

BIN
projects/01/and.pdf Normal file
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Binary file not shown.

246
projects/01/and.svg Normal file
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@@ -0,0 +1,246 @@
<?xml version="1.0" encoding="UTF-8" standalone="no"?>
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version="1.1"
id="svg2"
width="182.004"
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%!tikz editor 1.0
\documentclass{article}
\usepackage{pgf,tikz,pgfplots}
\usepackage{tkz-euclide}
\usetikzlibrary{angles, arrows.meta, quotes, calc, babel, fadings,quotes}
\usetikzlibrary{intersections,through,backgrounds}
\usepackage[graphics, active, tightpage]{preview}
\PreviewEnvironment{tikzpicture}
%!tikz preamble begin
%!tikz preamble begin
\pgfplotsset{compat=1.18}
%!tikz preamble begin
%!tikz preamble begin
\usepackage{circuitikz}
%!tikz preamble begin
%!tikz preamble end
\begin{document}
%!tikz source begin
\begin{tikzpicture}
% Circuit style
\ctikzset{
logic ports=ieee,
logic ports/scale=0.8,
% logic ports/fill=lightgray
}
\node[nand port] (Nand) at (0,-2){};
\node[not port] (Not) at (2,-2){};
\draw (Nand.in 1) -- ++(-0,0) node[near end,above]{a};
\draw (Nand.in 2) -- ++(-0,0) node[near end,below]{b};
\draw (Nand.out) -- ++(0.25,0) node[right]{};
\draw (Nand.out) -- (Not.in);
\draw (Not.out) -- ++(0.25,0) node[right]{out};
%https://d1lvwzdke54ywg.cloudfront.net/computersystem-1/
\end{tikzpicture}
%!tikz source end
\end{document}

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%!tikz editor 1.0
\documentclass{article}
\usepackage{pgf,tikz,pgfplots}
\usepackage{tkz-euclide}
\usetikzlibrary{angles, arrows.meta, quotes, calc, babel, fadings,quotes}
\usetikzlibrary{intersections,through,backgrounds}
\usepackage[graphics, active, tightpage]{preview}
\PreviewEnvironment{tikzpicture}
%!tikz preamble begin
%!tikz preamble begin
\pgfplotsset{compat=1.18}
%!tikz preamble begin
%!tikz preamble begin
\usepackage{circuitikz}
%!tikz preamble begin
%!tikz preamble end
\begin{document}
%!tikz source begin
\begin{circuitikz}
\draw
(0,2) node (myand1) [xshift=1cm,and port] {}
(myand1.out) node [anchor=south west] {\it A.B}
(myand1.in 1) node (A1) [anchor=east,xshift=-1cm] {A}
(myand1.in 2) node (B1) [anchor=east,xshift=-1cm,yshift=-.7cm] {B}
(0,0) node (mynot1) [not port, scale=.5] {}
(mynot1.out) node [anchor=south west] {$\bar{B}$}
(2.5,-.280) node (myor1) [or port] {}
(myor1.out) node [anchor=south west,xshift=.05cm] {$\bar{B}\texttt{+}C$}
(4,1.72) node (myor2) [or port] {}
(myor1.in 2) node (C1) [anchor=east,xshift=-2.5cm] {C}
(myor2.out) node [anchor=south west] {{\it A.B}\texttt{+}$(\bar{B}$\texttt{+}$C)$};
\draw (myor2.out) -- ++(1cm,0);
\draw (myand1.in 2) |- (mynot1.in);
\draw (mynot1.out) -| (myor1.in 1);
\draw (myand1.out) -- (myor2.in 1);
\draw (myor1.out) -- (myor2.in 2);
\draw (myand1.in 1) -- (A1);
\foreach \Point in {(A1),(B1), (C1)}{
\node [xshift=.2cm] at \Point {\textbullet};
}
\node [xshift=1.25cm] at (B1) {$\bullet$};
\node [xshift=1cm] at (myor2.out) {$\bullet$};
\draw (B1) -- ++(1.25cm,0);
\draw (myor1.in 2) -- (C1);
\end{circuitikz}
\end{document}

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#!/bin/bash
#/opt/homebrew/bin/inkscape --without-gui --file=$1.pdf --export-plain-svg=$1.svg
inkscape --without-gui --file=$1.pdf --export-plain-svg=$1.svg

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%!tikz editor 1.0
\documentclass{article}
\usepackage{pgf,tikz,pgfplots}
\usepackage{tkz-euclide}
\usetikzlibrary{angles, arrows.meta, quotes, calc, babel, fadings,quotes}
\usetikzlibrary{intersections,through,backgrounds}
\usepackage[graphics, active, tightpage]{preview}
\PreviewEnvironment{tikzpicture}
%!tikz preamble begin
%!tikz preamble begin
\usepackage{circuitikz}
%!tikz preamble end
\begin{document}
%!tikz source begin
\begin{tikzpicture}
% Circuit style
\ctikzset{
logic ports=ieee,
logic ports/scale=0.8,
% logic ports/fill=lightgray
}
\node[nand port] (Nand) at (0,-2){};
\draw (Nand.in 1) -- ++(-0,0) node[near end,above]{a};
\draw (Nand.in 2) -- ++(-0,0) node[near end,below]{b};
\draw[thick] (Nand.in 2) -- (Nand.in 1)node[midway](in){};
\draw (in.center) -- ++(-0.75,0) node[left]{in};
\draw (Nand.out) -- ++(0.25,0) node[right]{out};
%\draw (Not.in 1) -| (Not.in 2);
\end{tikzpicture}
%!tikz source end
\end{document}

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%!tikz editor 1.0
\documentclass{article}
\usepackage{pgf,tikz,pgfplots}
\usepackage{tkz-euclide}
\usetikzlibrary{angles, arrows.meta, quotes, calc, babel, fadings,quotes}
\usetikzlibrary{intersections,through,backgrounds}
\usepackage[graphics, active, tightpage]{preview}
\PreviewEnvironment{tikzpicture}
%!tikz preamble begin
%!tikz preamble begin
\pgfplotsset{compat=1.18}
%!tikz preamble begin
%!tikz preamble begin
\usepackage{circuitikz}
%!tikz preamble begin
%!tikz preamble end
\begin{document}
%!tikz source begin
\begin{tikzpicture}
% Circuit style
\ctikzset{
logic ports=ieee,
logic ports/scale=0.8,
% logic ports/fill=lightgray
}
\node[nand port] (Nand) at (2,0){};
\node[not port] (Nota) at (0,1.2){};
\node[not port] (Notb) at (0,-1.2){};
\draw (Nota.in) node[left]{a};
\draw (Notb.in) node[left]{b};
\draw (Nota.out) node[right, xshift=1, yshift=-10]{nota};
\draw (Notb.out) node[right, xshift=1, yshift=10]{notb};
\draw (Nota.out) |- (Nand.in 1);
\draw (Notb.out) |- (Nand.in 2);
%\draw (Nand.in 1) -- ++( -0,0) node[near end,above]{a};
%\draw (Nand.in 2) -- ++(-0,0) node[near end,below]{b};
%\draw (Nand.out) -- ++(0.25,0) node[right]{};
\draw (Nand.out) node[right]{out};
%\draw (Nota.out) -- ++(0.25,0) node[right]{out};
%https://d1lvwzdke54ywg.cloudfront.net/computersystem-1/
\end{tikzpicture}
%!tikz source end
\end{document}

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\begin{circuitikz} \draw
(0,0) node (nota) [not port] {}
(nota.in) node (A1) [anchor=east,xshift=-1cm] {a}
(A1) -- (nota.in)
(0,-2.6) node (notb) [not port] {}
(notb.in) node (B1) [anchor=east,xshift=-1cm] {b}
(B1) -- (notb.in)
(2.5,-0.7) node (nand1) [nand port] {}
(nota.out) -| (nand1.in 1)
(2.5,-2) node (nand2) [nand port] {}
(notb.out) -| (nand2.in 2)
%node [circ, xshift=0.7cm](B1-dot1) at (B1) {}
%(B1-dot1) |- (nand1.in 2)
(B1) ++(0.7cm,0) node[circ] {} |- (nand1.in 2)
(A1) ++(1cm,0) node[circ] {} |- (nand2.in 1)
(4.5,-1.4) node (nand3) [nand port] {}
(nand3.out) node (C1) [anchor=west,xshift= 1cm] {out}
(nand3.out) -- (C1)
(nand1.out) -| (nand3.in 1)
(nand2.out) -| (nand3.in 2)
(nand1.out) node [xshift=15,yshift=7,font=\footnotesize] {nandout1}
(nand2.out) node [xshift=15,yshift=-7,font=\footnotesize] {nandout2}
% (nand1.in 1) node (A1) [anchor=east,xshift=-1cm] {A}
;\end{circuitikz}

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%!tikz editor 1.0
\documentclass{article}
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%!tikz preamble begin
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// This file is part of the materials accompanying the book
// "The Elements of Computing Systems" by Nisan and Schocken,
// MIT Press. Book site: www.idc.ac.il/tecs
// File name: projects/02/ALU-nostat.tst
// ALU-nostat.tst provides a partial test of the ALU chip.
// It IS NOT a replacement for ALU.tst.
// ALU-nostat.tst tests only the computation part of the ALU.
// The 'zr' and 'ng' status outputs are ignored.
// This test lets you concentrate on getting the ALU computation right without the
// additional task of handling the status outputs.
// Once your ALU passes ALU-nostat.tst you need to test it with ALU.tst.
// This way, any comparison failures during ALU.tst will be caused by errors in
// the handling of the 'zr' and 'ng' status outputs.
load ALU.hdl,
output-file ALU-nostat.out,
compare-to ALU-nostat.cmp,
output-list x%B1.16.1 y%B1.16.1 zx%B1.1.1 nx%B1.1.1 zy%B1.1.1
ny%B1.1.1 f%B1.1.1 no%B1.1.1 out%B1.16.1;
set x %B0000000000000000,
set y %B1111111111111111,
set zx 1,
set nx 0,
set zy 1,
set ny 0,
set f 1,
set no 0,
eval,
output;
set zx 1,
set nx 1,
set zy 1,
set ny 1,
set f 1,
set no 1,
eval,
output;
set zx 1,
set nx 1,
set zy 1,
set ny 0,
set f 1,
set no 0,
eval,
output;
set zx 0,
set nx 0,
set zy 1,
set ny 1,
set f 0,
set no 0,
eval,
output;
set zx 1,
set nx 1,
set zy 0,
set ny 0,
set f 0,
set no 0,
eval,
output;
set zx 0,
set nx 0,
set zy 1,
set ny 1,
set f 0,
set no 1,
eval,
output;
set zx 1,
set nx 1,
set zy 0,
set ny 0,
set f 0,
set no 1,
eval,
output;
set zx 0,
set nx 0,
set zy 1,
set ny 1,
set f 1,
set no 1,
eval,
output;
set zx 1,
set nx 1,
set zy 0,
set ny 0,
set f 1,
set no 1,
eval,
output;
set zx 0,
set nx 1,
set zy 1,
set ny 1,
set f 1,
set no 1,
eval,
output;
set zx 1,
set nx 1,
set zy 0,
set ny 1,
set f 1,
set no 1,
eval,
output;
set zx 0,
set nx 0,
set zy 1,
set ny 1,
set f 1,
set no 0,
eval,
output;
set zx 1,
set nx 1,
set zy 0,
set ny 0,
set f 1,
set no 0,
eval,
output;
set zx 0,
set nx 0,
set zy 0,
set ny 0,
set f 1,
set no 0,
eval,
output;
set zx 0,
set nx 1,
set zy 0,
set ny 0,
set f 1,
set no 1,
eval,
output;
set zx 0,
set nx 0,
set zy 0,
set ny 1,
set f 1,
set no 1,
eval,
output;
set zx 0,
set nx 0,
set zy 0,
set ny 0,
set f 0,
set no 0,
eval,
output;
set zx 0,
set nx 1,
set zy 0,
set ny 1,
set f 0,
set no 1,
eval,
output;
set x %B101101110100000,
set y %B001111011010010,
set zx 1,
set nx 0,
set zy 1,
set ny 0,
set f 1,
set no 0,
eval,
output;
set zx 1,
set nx 1,
set zy 1,
set ny 1,
set f 1,
set no 1,
eval,
output;
set zx 1,
set nx 1,
set zy 1,
set ny 0,
set f 1,
set no 0,
eval,
output;
set zx 0,
set nx 0,
set zy 1,
set ny 1,
set f 0,
set no 0,
eval,
output;
set zx 1,
set nx 1,
set zy 0,
set ny 0,
set f 0,
set no 0,
eval,
output;
set zx 0,
set nx 0,
set zy 1,
set ny 1,
set f 0,
set no 1,
eval,
output;
set zx 1,
set nx 1,
set zy 0,
set ny 0,
set f 0,
set no 1,
eval,
output;
set zx 0,
set nx 0,
set zy 1,
set ny 1,
set f 1,
set no 1,
eval,
output;
set zx 1,
set nx 1,
set zy 0,
set ny 0,
set f 1,
set no 1,
eval,
output;
set zx 0,
set nx 1,
set zy 1,
set ny 1,
set f 1,
set no 1,
eval,
output;
set zx 1,
set nx 1,
set zy 0,
set ny 1,
set f 1,
set no 1,
eval,
output;
set zx 0,
set nx 0,
set zy 1,
set ny 1,
set f 1,
set no 0,
eval,
output;
set zx 1,
set nx 1,
set zy 0,
set ny 0,
set f 1,
set no 0,
eval,
output;
set zx 0,
set nx 0,
set zy 0,
set ny 0,
set f 1,
set no 0,
eval,
output;
set zx 0,
set nx 1,
set zy 0,
set ny 0,
set f 1,
set no 1,
eval,
output;
set zx 0,
set nx 0,
set zy 0,
set ny 1,
set f 1,
set no 1,
eval,
output;
set zx 0,
set nx 0,
set zy 0,
set ny 0,
set f 0,
set no 0,
eval,
output;
set zx 0,
set nx 1,
set zy 0,
set ny 1,
set f 0,
set no 1,
eval,
output;

37
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| x | y |zx |nx |zy |ny | f |no | out |zr |ng |
| 0000000000000000 | 1111111111111111 | 1 | 0 | 1 | 0 | 1 | 0 | 0000000000000000 | 1 | 0 |
| 0000000000000000 | 1111111111111111 | 1 | 1 | 1 | 1 | 1 | 1 | 0000000000000001 | 0 | 0 |
| 0000000000000000 | 1111111111111111 | 1 | 1 | 1 | 0 | 1 | 0 | 1111111111111111 | 0 | 1 |
| 0000000000000000 | 1111111111111111 | 0 | 0 | 1 | 1 | 0 | 0 | 0000000000000000 | 1 | 0 |
| 0000000000000000 | 1111111111111111 | 1 | 1 | 0 | 0 | 0 | 0 | 1111111111111111 | 0 | 1 |
| 0000000000000000 | 1111111111111111 | 0 | 0 | 1 | 1 | 0 | 1 | 1111111111111111 | 0 | 1 |
| 0000000000000000 | 1111111111111111 | 1 | 1 | 0 | 0 | 0 | 1 | 0000000000000000 | 1 | 0 |
| 0000000000000000 | 1111111111111111 | 0 | 0 | 1 | 1 | 1 | 1 | 0000000000000000 | 1 | 0 |
| 0000000000000000 | 1111111111111111 | 1 | 1 | 0 | 0 | 1 | 1 | 0000000000000001 | 0 | 0 |
| 0000000000000000 | 1111111111111111 | 0 | 1 | 1 | 1 | 1 | 1 | 0000000000000001 | 0 | 0 |
| 0000000000000000 | 1111111111111111 | 1 | 1 | 0 | 1 | 1 | 1 | 0000000000000000 | 1 | 0 |
| 0000000000000000 | 1111111111111111 | 0 | 0 | 1 | 1 | 1 | 0 | 1111111111111111 | 0 | 1 |
| 0000000000000000 | 1111111111111111 | 1 | 1 | 0 | 0 | 1 | 0 | 1111111111111110 | 0 | 1 |
| 0000000000000000 | 1111111111111111 | 0 | 0 | 0 | 0 | 1 | 0 | 1111111111111111 | 0 | 1 |
| 0000000000000000 | 1111111111111111 | 0 | 1 | 0 | 0 | 1 | 1 | 0000000000000001 | 0 | 0 |
| 0000000000000000 | 1111111111111111 | 0 | 0 | 0 | 1 | 1 | 1 | 1111111111111111 | 0 | 1 |
| 0000000000000000 | 1111111111111111 | 0 | 0 | 0 | 0 | 0 | 0 | 0000000000000000 | 1 | 0 |
| 0000000000000000 | 1111111111111111 | 0 | 1 | 0 | 1 | 0 | 1 | 1111111111111111 | 0 | 1 |
| 0000000000010001 | 0000000000000011 | 1 | 0 | 1 | 0 | 1 | 0 | 0000000000000000 | 1 | 0 |
| 0000000000010001 | 0000000000000011 | 1 | 1 | 1 | 1 | 1 | 1 | 0000000000000001 | 0 | 0 |
| 0000000000010001 | 0000000000000011 | 1 | 1 | 1 | 0 | 1 | 0 | 1111111111111111 | 0 | 1 |
| 0000000000010001 | 0000000000000011 | 0 | 0 | 1 | 1 | 0 | 0 | 0000000000010001 | 0 | 0 |
| 0000000000010001 | 0000000000000011 | 1 | 1 | 0 | 0 | 0 | 0 | 0000000000000011 | 0 | 0 |
| 0000000000010001 | 0000000000000011 | 0 | 0 | 1 | 1 | 0 | 1 | 1111111111101110 | 0 | 1 |
| 0000000000010001 | 0000000000000011 | 1 | 1 | 0 | 0 | 0 | 1 | 1111111111111100 | 0 | 1 |
| 0000000000010001 | 0000000000000011 | 0 | 0 | 1 | 1 | 1 | 1 | 1111111111101111 | 0 | 1 |
| 0000000000010001 | 0000000000000011 | 1 | 1 | 0 | 0 | 1 | 1 | 1111111111111101 | 0 | 1 |
| 0000000000010001 | 0000000000000011 | 0 | 1 | 1 | 1 | 1 | 1 | 0000000000010010 | 0 | 0 |
| 0000000000010001 | 0000000000000011 | 1 | 1 | 0 | 1 | 1 | 1 | 0000000000000100 | 0 | 0 |
| 0000000000010001 | 0000000000000011 | 0 | 0 | 1 | 1 | 1 | 0 | 0000000000010000 | 0 | 0 |
| 0000000000010001 | 0000000000000011 | 1 | 1 | 0 | 0 | 1 | 0 | 0000000000000010 | 0 | 0 |
| 0000000000010001 | 0000000000000011 | 0 | 0 | 0 | 0 | 1 | 0 | 0000000000010100 | 0 | 0 |
| 0000000000010001 | 0000000000000011 | 0 | 1 | 0 | 0 | 1 | 1 | 0000000000001110 | 0 | 0 |
| 0000000000010001 | 0000000000000011 | 0 | 0 | 0 | 1 | 1 | 1 | 1111111111110010 | 0 | 1 |
| 0000000000010001 | 0000000000000011 | 0 | 0 | 0 | 0 | 0 | 0 | 0000000000000001 | 0 | 0 |
| 0000000000010001 | 0000000000000011 | 0 | 1 | 0 | 1 | 0 | 1 | 0000000000010011 | 0 | 0 |

92
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// This file is part of www.nand2tetris.org
// and the book "The Elements of Computing Systems"
// by Nisan and Schocken, MIT Press.
// File name: projects/02/ALU.hdl
/**
* The ALU (Arithmetic Logic Unit).
* Computes one of the following functions:
* x+y, x-y, y-x, 0, 1, -1, x, y, -x, -y, !x, !y,
* x+1, y+1, x-1, y-1, x&y, x|y on two 16-bit inputs,
* according to 6 input bits denoted zx,nx,zy,ny,f,no.
* In addition, the ALU computes two 1-bit outputs:
* if the ALU output == 0, zr is set to 1; otherwise zr is set to 0;
* if the ALU output < 0, ng is set to 1; otherwise ng is set to 0.
*/
// Implementation: the ALU logic manipulates the x and y inputs
// and operates on the resulting values, as follows:
// if (zx == 1) set x = 0 // 16-bit constant
// if (nx == 1) set x = !x // bitwise not
// if (zy == 1) set y = 0 // 16-bit constant
// if (ny == 1) set y = !y // bitwise not
// if (f == 1) set out = x + y // integer 2's complement addition
// if (f == 0) set out = x & y // bitwise and
// if (no == 1) set out = !out // bitwise not
// if (out == 0) set zr = 1
// if (out < 0) set ng = 1
CHIP ALU {
IN
x[16], y[16], // 16-bit inputs
zx, // zero the x input?
nx, // negate the x input?
zy, // zero the y input?
ny, // negate the y input?
f, // compute out = x + y (if 1) or x & y (if 0)
no; // negate the out output?
OUT
out[16], // 16-bit output
zr, // 1 if (out == 0), 0 otherwise
ng; // 1 if (out < 0), 0 otherwise
PARTS:
// 1. when zx = 1 --> x = 0
Mux16(a=x, b=false, sel=zx, out=muxx);
// 2. when nx = 1 negate x
Not16(in=muxx, out=notx);
Mux16(a=muxx, b=notx, sel=nx, out=x1);
// 3. when zy = 1 --> y = 0
Mux16(a=y, b=false, sel=zy, out=muxy);
// 4. when ny = 1 then negate y
Not16(in=muxy, out=noty);
Mux16(a=muxy, b=noty, sel=ny, out=y1);
// x+y
Add16(a=x1, b=y1, out=addxy);
// x&y
And16(a=x1, b=y1, out=xandy);
// if f then out = x+y else x&y
Mux16(a=xandy, b=addxy, sel=f, out=outmuxf);
// negate the output
Not16(in=outmuxf, out=notoutmuxf);
Mux16(a=outmuxf, b=notoutmuxf, sel=no, out[15]=ngout, out[0..7]=lsb, out[8..15]=msb, out=out);
// stats
// if out < 0 then ng = 1 --> out[15] and 1
And(a=ngout, b=true, out=ng);
//zr = 0 when out = 0
// 0..7 to Or8Way
Or8Way(in=lsb, out=oroutlsb);
// 8..15 to Or8Way
Or8Way(in=msb, out=oroutmsb);
Nor(a=oroutlsb, b=oroutmsb, out=zr);
}

73
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// This file is part of www.nand2tetris.org
// and the book "The Elements of Computing Systems"
// by Nisan and Schocken, MIT Press.
// File name: projects/02/ALU.hdl
/**
* The ALU (Arithmetic Logic Unit).
* Computes one of the following functions:
* x+y, x-y, y-x, 0, 1, -1, x, y, -x, -y, !x, !y,
* x+1, y+1, x-1, y-1, x&y, x|y on two 16-bit inputs,
* according to 6 input bits denoted zx,nx,zy,ny,f,no.
* In addition, the ALU computes two 1-bit outputs:
* if the ALU output == 0, zr is set to 1; otherwise zr is set to 0;
* if the ALU output < 0, ng is set to 1; otherwise ng is set to 0.
*/
// Implementation: the ALU logic manipulates the x and y inputs
// and operates on the resulting values, as follows:
// if (zx == 1) set x = 0 // 16-bit constant
// if (nx == 1) set x = !x // bitwise not
// if (zy == 1) set y = 0 // 16-bit constant
// if (ny == 1) set y = !y // bitwise not
// if (f == 1) set out = x + y // integer 2's complement addition
// if (f == 0) set out = x & y // bitwise and
// if (no == 1) set out = !out // bitwise not
// if (out == 0) set zr = 1
// if (out < 0) set ng = 1
CHIP ALU {
IN
x[16], y[16], // 16-bit inputs
zx, // zero the x input?
nx, // negate the x input?
zy, // zero the y input?
ny, // negate the y input?
f, // compute out = x + y (if 1) or x & y (if 0)
no; // negate the out output?
OUT
out[16], // 16-bit output
zr, // 1 if (out == 0), 0 otherwise
ng; // 1 if (out < 0), 0 otherwise
PARTS:
// x zero / negate
Mux16(a=x, sel=zx, out=x1);
Not16(in=x1, out=negatedX);
Mux16(a=x1, b=negatedX, sel=nx, out=x2);
// y zero / negate
Mux16(a=y, sel=zy, out=y1);
Not16(in=y1, out=negatedY);
Mux16(a=y1, b=negatedY, sel=ny, out=y2);
// x + y OR x & y
Add16(a=x2, b=y2, out=added);
And16(a=x2, b=y2, out=xyAnd);
Mux16(a=xyAnd, b=added, sel=f, out=result);
// negate the output?
Not16(in=result, out=negatedResult);
Mux16(a=result, b=negatedResult, sel=no, out=out, out[15]=firstOut, out[0..7]=finalLeft, out[8..15]=finalRight);
// output == 0 (zr)
Or8Way(in=finalLeft, out=zrl);
Or8Way(in=finalRight, out=zrr);
Or(a=zrl, b=zrr, out=nzr);
Not(in=nzr, out=zr);
// output < 0 (ng)
And(a=firstOut, b=true, out=ng);
}

58
projects/02/ALU.hdl.org Normal file
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// This file is part of www.nand2tetris.org
// and the book "The Elements of Computing Systems"
// by Nisan and Schocken, MIT Press.
// File name: projects/02/ALU.hdl
/**
* The ALU (Arithmetic Logic Unit).
* Computes one of the following functions:
* x+y, x-y, y-x, 0, 1, -1, x, y, -x, -y, !x, !y,
* x+1, y+1, x-1, y-1, x&y, x|y on two 16-bit inputs,
* according to 6 input bits denoted zx,nx,zy,ny,f,no.
* In addition, the ALU computes two 1-bit outputs:
* if the ALU output == 0, zr is set to 1; otherwise zr is set to 0;
* if the ALU output < 0, ng is set to 1; otherwise ng is set to 0.
*/
// Implementation: the ALU logic manipulates the x and y inputs
// and operates on the resulting values, as follows:
// if (zx == 1) set x = 0 // 16-bit constant
// if (nx == 1) set x = !x // bitwise not
// if (zy == 1) set y = 0 // 16-bit constant
// if (ny == 1) set y = !y // bitwise not
// if (f == 1) set out = x + y // integer 2's complement addition
// if (f == 0) set out = x & y // bitwise and
// if (no == 1) set out = !out // bitwise not
// if (out == 0) set zr = 1
// if (out < 0) set ng = 1
CHIP ALU {
IN
x[16], y[16], // 16-bit inputs
zx, // zero the x input?
nx, // negate the x input?
zy, // zero the y input?
ny, // negate the y input?
f, // compute out = x + y (if 1) or x & y (if 0)
no; // negate the out output?
OUT
out[16], // 16-bit output
zr, // 1 if (out == 0), 0 otherwise
ng; // 1 if (out < 0), 0 otherwise
PARTS:
// 1. when zx = 1 --> x = 0
Mux16(a=x, b=false, sel=zx, out=mux_x);
// 2. when nx = 1 negate x
Not16(in=mux_x, out=not_x);
Mux16(a=mux_x, b=not_x, sel=nx, out=x_1);
// 3. when zy = 1 --> y = 0
Mux16(a=y, b=false, sel=zy, out=mux_y);
// 4. when ny = 1 then negate y
Not16(in=mux_y, out=not_y);
Mux16(a=mux_y, b=not_y, sel=ny, out=y_1);
}

37
projects/02/ALU.out Normal file
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| x | y |zx |nx |zy |ny | f |no | out |zr |ng |
| 0000000000000000 | 1111111111111111 | 1 | 0 | 1 | 0 | 1 | 0 | 0000000000000000 | 1 | 0 |
| 0000000000000000 | 1111111111111111 | 1 | 1 | 1 | 1 | 1 | 1 | 0000000000000001 | 0 | 0 |
| 0000000000000000 | 1111111111111111 | 1 | 1 | 1 | 0 | 1 | 0 | 1111111111111111 | 0 | 1 |
| 0000000000000000 | 1111111111111111 | 0 | 0 | 1 | 1 | 0 | 0 | 0000000000000000 | 1 | 0 |
| 0000000000000000 | 1111111111111111 | 1 | 1 | 0 | 0 | 0 | 0 | 1111111111111111 | 0 | 1 |
| 0000000000000000 | 1111111111111111 | 0 | 0 | 1 | 1 | 0 | 1 | 1111111111111111 | 0 | 1 |
| 0000000000000000 | 1111111111111111 | 1 | 1 | 0 | 0 | 0 | 1 | 0000000000000000 | 1 | 0 |
| 0000000000000000 | 1111111111111111 | 0 | 0 | 1 | 1 | 1 | 1 | 0000000000000000 | 1 | 0 |
| 0000000000000000 | 1111111111111111 | 1 | 1 | 0 | 0 | 1 | 1 | 0000000000000001 | 0 | 0 |
| 0000000000000000 | 1111111111111111 | 0 | 1 | 1 | 1 | 1 | 1 | 0000000000000001 | 0 | 0 |
| 0000000000000000 | 1111111111111111 | 1 | 1 | 0 | 1 | 1 | 1 | 0000000000000000 | 1 | 0 |
| 0000000000000000 | 1111111111111111 | 0 | 0 | 1 | 1 | 1 | 0 | 1111111111111111 | 0 | 1 |
| 0000000000000000 | 1111111111111111 | 1 | 1 | 0 | 0 | 1 | 0 | 1111111111111110 | 0 | 1 |
| 0000000000000000 | 1111111111111111 | 0 | 0 | 0 | 0 | 1 | 0 | 1111111111111111 | 0 | 1 |
| 0000000000000000 | 1111111111111111 | 0 | 1 | 0 | 0 | 1 | 1 | 0000000000000001 | 0 | 0 |
| 0000000000000000 | 1111111111111111 | 0 | 0 | 0 | 1 | 1 | 1 | 1111111111111111 | 0 | 1 |
| 0000000000000000 | 1111111111111111 | 0 | 0 | 0 | 0 | 0 | 0 | 0000000000000000 | 1 | 0 |
| 0000000000000000 | 1111111111111111 | 0 | 1 | 0 | 1 | 0 | 1 | 1111111111111111 | 0 | 1 |
| 0000000000010001 | 0000000000000011 | 1 | 0 | 1 | 0 | 1 | 0 | 0000000000000000 | 1 | 0 |
| 0000000000010001 | 0000000000000011 | 1 | 1 | 1 | 1 | 1 | 1 | 0000000000000001 | 0 | 0 |
| 0000000000010001 | 0000000000000011 | 1 | 1 | 1 | 0 | 1 | 0 | 1111111111111111 | 0 | 1 |
| 0000000000010001 | 0000000000000011 | 0 | 0 | 1 | 1 | 0 | 0 | 0000000000010001 | 0 | 0 |
| 0000000000010001 | 0000000000000011 | 1 | 1 | 0 | 0 | 0 | 0 | 0000000000000011 | 0 | 0 |
| 0000000000010001 | 0000000000000011 | 0 | 0 | 1 | 1 | 0 | 1 | 1111111111101110 | 0 | 1 |
| 0000000000010001 | 0000000000000011 | 1 | 1 | 0 | 0 | 0 | 1 | 1111111111111100 | 0 | 1 |
| 0000000000010001 | 0000000000000011 | 0 | 0 | 1 | 1 | 1 | 1 | 1111111111101111 | 0 | 1 |
| 0000000000010001 | 0000000000000011 | 1 | 1 | 0 | 0 | 1 | 1 | 1111111111111101 | 0 | 1 |
| 0000000000010001 | 0000000000000011 | 0 | 1 | 1 | 1 | 1 | 1 | 0000000000010010 | 0 | 0 |
| 0000000000010001 | 0000000000000011 | 1 | 1 | 0 | 1 | 1 | 1 | 0000000000000100 | 0 | 0 |
| 0000000000010001 | 0000000000000011 | 0 | 0 | 1 | 1 | 1 | 0 | 0000000000010000 | 0 | 0 |
| 0000000000010001 | 0000000000000011 | 1 | 1 | 0 | 0 | 1 | 0 | 0000000000000010 | 0 | 0 |
| 0000000000010001 | 0000000000000011 | 0 | 0 | 0 | 0 | 1 | 0 | 0000000000010100 | 0 | 0 |
| 0000000000010001 | 0000000000000011 | 0 | 1 | 0 | 0 | 1 | 1 | 0000000000001110 | 0 | 0 |
| 0000000000010001 | 0000000000000011 | 0 | 0 | 0 | 1 | 1 | 1 | 1111111111110010 | 0 | 1 |
| 0000000000010001 | 0000000000000011 | 0 | 0 | 0 | 0 | 0 | 0 | 0000000000000001 | 0 | 0 |
| 0000000000010001 | 0000000000000011 | 0 | 1 | 0 | 1 | 0 | 1 | 0000000000010011 | 0 | 0 |

377
projects/02/ALU.tst Normal file
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// This file is part of www.nand2tetris.org
// and the book "The Elements of Computing Systems"
// by Nisan and Schocken, MIT Press.
// File name: projects/02/ALU.tst
load ALU.hdl,
output-file ALU.out,
compare-to ALU.cmp,
output-list x%B1.16.1 y%B1.16.1 zx%B1.1.1 nx%B1.1.1 zy%B1.1.1
ny%B1.1.1 f%B1.1.1 no%B1.1.1 out%B1.16.1 zr%B1.1.1
ng%B1.1.1;
set x %B0000000000000000, // x = 0
set y %B1111111111111111; // y = -1
// Compute 0
set zx 1,
set nx 0,
set zy 1,
set ny 0,
set f 1,
set no 0,
eval,
output;
// Compute 1
set zx 1,
set nx 1,
set zy 1,
set ny 1,
set f 1,
set no 1,
eval,
output;
// Compute -1
set zx 1,
set nx 1,
set zy 1,
set ny 0,
set f 1,
set no 0,
eval,
output;
// Compute x
set zx 0,
set nx 0,
set zy 1,
set ny 1,
set f 0,
set no 0,
eval,
output;
// Compute y
set zx 1,
set nx 1,
set zy 0,
set ny 0,
set f 0,
set no 0,
eval,
output;
// Compute !x
set zx 0,
set nx 0,
set zy 1,
set ny 1,
set f 0,
set no 1,
eval,
output;
// Compute !y
set zx 1,
set nx 1,
set zy 0,
set ny 0,
set f 0,
set no 1,
eval,
output;
// Compute -x
set zx 0,
set nx 0,
set zy 1,
set ny 1,
set f 1,
set no 1,
eval,
output;
// Compute -y
set zx 1,
set nx 1,
set zy 0,
set ny 0,
set f 1,
set no 1,
eval,
output;
// Compute x + 1
set zx 0,
set nx 1,
set zy 1,
set ny 1,
set f 1,
set no 1,
eval,
output;
// Compute y + 1
set zx 1,
set nx 1,
set zy 0,
set ny 1,
set f 1,
set no 1,
eval,
output;
// Compute x - 1
set zx 0,
set nx 0,
set zy 1,
set ny 1,
set f 1,
set no 0,
eval,
output;
// Compute y - 1
set zx 1,
set nx 1,
set zy 0,
set ny 0,
set f 1,
set no 0,
eval,
output;
// Compute x + y
set zx 0,
set nx 0,
set zy 0,
set ny 0,
set f 1,
set no 0,
eval,
output;
// Compute x - y
set zx 0,
set nx 1,
set zy 0,
set ny 0,
set f 1,
set no 1,
eval,
output;
// Compute y - x
set zx 0,
set nx 0,
set zy 0,
set ny 1,
set f 1,
set no 1,
eval,
output;
// Compute x & y
set zx 0,
set nx 0,
set zy 0,
set ny 0,
set f 0,
set no 0,
eval,
output;
// Compute x | y
set zx 0,
set nx 1,
set zy 0,
set ny 1,
set f 0,
set no 1,
eval,
output;
set x %B000000000010001, // x = 17
set y %B000000000000011; // y = 3
// Compute 0
set zx 1,
set nx 0,
set zy 1,
set ny 0,
set f 1,
set no 0,
eval,
output;
// Compute 1
set zx 1,
set nx 1,
set zy 1,
set ny 1,
set f 1,
set no 1,
eval,
output;
// Compute -1
set zx 1,
set nx 1,
set zy 1,
set ny 0,
set f 1,
set no 0,
eval,
output;
// Compute x
set zx 0,
set nx 0,
set zy 1,
set ny 1,
set f 0,
set no 0,
eval,
output;
// Compute y
set zx 1,
set nx 1,
set zy 0,
set ny 0,
set f 0,
set no 0,
eval,
output;
// Compute !x
set zx 0,
set nx 0,
set zy 1,
set ny 1,
set f 0,
set no 1,
eval,
output;
// Compute !y
set zx 1,
set nx 1,
set zy 0,
set ny 0,
set f 0,
set no 1,
eval,
output;
// Compute -x
set zx 0,
set nx 0,
set zy 1,
set ny 1,
set f 1,
set no 1,
eval,
output;
// Compute -y
set zx 1,
set nx 1,
set zy 0,
set ny 0,
set f 1,
set no 1,
eval,
output;
// Compute x + 1
set zx 0,
set nx 1,
set zy 1,
set ny 1,
set f 1,
set no 1,
eval,
output;
// Compute y + 1
set zx 1,
set nx 1,
set zy 0,
set ny 1,
set f 1,
set no 1,
eval,
output;
// Compute x - 1
set zx 0,
set nx 0,
set zy 1,
set ny 1,
set f 1,
set no 0,
eval,
output;
// Compute y - 1
set zx 1,
set nx 1,
set zy 0,
set ny 0,
set f 1,
set no 0,
eval,
output;
// Compute x + y
set zx 0,
set nx 0,
set zy 0,
set ny 0,
set f 1,
set no 0,
eval,
output;
// Compute x - y
set zx 0,
set nx 1,
set zy 0,
set ny 0,
set f 1,
set no 1,
eval,
output;
// Compute y - x
set zx 0,
set nx 0,
set zy 0,
set ny 1,
set f 1,
set no 1,
eval,
output;
// Compute x & y
set zx 0,
set nx 0,
set zy 0,
set ny 0,
set f 0,
set no 0,
eval,
output;
// Compute x | y
set zx 0,
set nx 1,
set zy 0,
set ny 1,
set f 0,
set no 1,
eval,
output;

7
projects/02/Add16.cmp Normal file
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@@ -0,0 +1,7 @@
| a | b | out |
| 0000000000000000 | 0000000000000000 | 0000000000000000 |
| 0000000000000000 | 1111111111111111 | 1111111111111111 |
| 1111111111111111 | 1111111111111111 | 1111111111111110 |
| 1010101010101010 | 0101010101010101 | 1111111111111111 |
| 0011110011000011 | 0000111111110000 | 0100110010110011 |
| 0001001000110100 | 1001100001110110 | 1010101010101010 |

32
projects/02/Add16.hdl Normal file
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@@ -0,0 +1,32 @@
// This file is part of www.nand2tetris.org
// and the book "The Elements of Computing Systems"
// by Nisan and Schocken, MIT Press.
// File name: projects/02/Adder16.hdl
/**
* Adds two 16-bit values.
* The most significant carry bit is ignored.
*/
CHIP Add16 {
IN a[16], b[16];
OUT out[16];
PARTS:
HalfAdder(a=a[0], b=b[0], sum=out[0], carry=carha1);
FullAdder(a=a[1], b=b[1], c=carha1, sum=out[1], carry=carha2);
FullAdder(a=a[2], b=b[2], c=carha2, sum=out[2], carry=carha3);
FullAdder(a=a[3], b=b[3], c=carha3, sum=out[3], carry=carha4);
FullAdder(a=a[4], b=b[4], c=carha4, sum=out[4], carry=carha5);
FullAdder(a=a[5], b=b[5], c=carha5, sum=out[5], carry=carha6);
FullAdder(a=a[6], b=b[6], c=carha6, sum=out[6], carry=carha7);
FullAdder(a=a[7], b=b[7], c=carha7, sum=out[7], carry=carha8);
FullAdder(a=a[8], b=b[8], c=carha8, sum=out[8], carry=carha9);
FullAdder(a=a[9], b=b[9], c=carha9, sum=out[9], carry=carha10);
FullAdder(a=a[10], b=b[10], c=carha10, sum=out[10], carry=carha11);
FullAdder(a=a[11], b=b[11], c=carha11, sum=out[11], carry=carha12);
FullAdder(a=a[12], b=b[12], c=carha12, sum=out[12], carry=carha13);
FullAdder(a=a[13], b=b[13], c=carha13, sum=out[13], carry=carha14);
FullAdder(a=a[14], b=b[14], c=carha14, sum=out[14], carry=carha15);
FullAdder(a=a[15], b=b[15], c=carha15, sum=out[15], carry=false);
}

7
projects/02/Add16.out Normal file
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@@ -0,0 +1,7 @@
| a | b | out |
| 0000000000000000 | 0000000000000000 | 0000000000000000 |
| 0000000000000000 | 1111111111111111 | 1111111111111111 |
| 1111111111111111 | 1111111111111111 | 1111111111111110 |
| 1010101010101010 | 0101010101010101 | 1111111111111111 |
| 0011110011000011 | 0000111111110000 | 0100110010110011 |
| 0001001000110100 | 1001100001110110 | 1010101010101010 |

39
projects/02/Add16.tst Normal file
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@@ -0,0 +1,39 @@
// This file is part of www.nand2tetris.org
// and the book "The Elements of Computing Systems"
// by Nisan and Schocken, MIT Press.
// File name: projects/02/Add16.tst
load Add16.hdl,
output-file Add16.out,
compare-to Add16.cmp,
output-list a%B1.16.1 b%B1.16.1 out%B1.16.1;
set a %B0000000000000000,
set b %B0000000000000000,
eval,
output;
set a %B0000000000000000,
set b %B1111111111111111,
eval,
output;
set a %B1111111111111111,
set b %B1111111111111111,
eval,
output;
set a %B1010101010101010,
set b %B0101010101010101,
eval,
output;
set a %B0011110011000011,
set b %B0000111111110000,
eval,
output;
set a %B0001001000110100,
set b %B1001100001110110,
eval,
output;

19
projects/02/And.hdl Normal file
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@@ -0,0 +1,19 @@
// This file is part of www.nand2tetris.org
// and the book "The Elements of Computing Systems"
// by Nisan and Schocken, MIT Press.
// File name: projects/01/And.hdl
/**
* And gate:
* out = 1 if (a == 1 and b == 1)
* 0 otherwise
*/
CHIP And {
IN a, b;
OUT out;
PARTS:
Nand(a=a ,b=b ,out=nandout);
Not(in=nandout ,out=out);
}

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