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Add solutions for part 1

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This commit is contained in:
Felix Martin
2020-11-15 13:57:48 -05:00
parent e4f9fd2682
commit 742db6d102
479 changed files with 202980 additions and 13 deletions
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37
projects/02/ALU-nostat.cmp Normal file
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| x | y |zx |nx |zy |ny | f |no | out |
| 0000000000000000 | 1111111111111111 | 1 | 0 | 1 | 0 | 1 | 0 | 0000000000000000 |
| 0000000000000000 | 1111111111111111 | 1 | 1 | 1 | 1 | 1 | 1 | 0000000000000001 |
| 0000000000000000 | 1111111111111111 | 1 | 1 | 1 | 0 | 1 | 0 | 1111111111111111 |
| 0000000000000000 | 1111111111111111 | 0 | 0 | 1 | 1 | 0 | 0 | 0000000000000000 |
| 0000000000000000 | 1111111111111111 | 1 | 1 | 0 | 0 | 0 | 0 | 1111111111111111 |
| 0000000000000000 | 1111111111111111 | 0 | 0 | 1 | 1 | 0 | 1 | 1111111111111111 |
| 0000000000000000 | 1111111111111111 | 1 | 1 | 0 | 0 | 0 | 1 | 0000000000000000 |
| 0000000000000000 | 1111111111111111 | 0 | 0 | 1 | 1 | 1 | 1 | 0000000000000000 |
| 0000000000000000 | 1111111111111111 | 1 | 1 | 0 | 0 | 1 | 1 | 0000000000000001 |
| 0000000000000000 | 1111111111111111 | 0 | 1 | 1 | 1 | 1 | 1 | 0000000000000001 |
| 0000000000000000 | 1111111111111111 | 1 | 1 | 0 | 1 | 1 | 1 | 0000000000000000 |
| 0000000000000000 | 1111111111111111 | 0 | 0 | 1 | 1 | 1 | 0 | 1111111111111111 |
| 0000000000000000 | 1111111111111111 | 1 | 1 | 0 | 0 | 1 | 0 | 1111111111111110 |
| 0000000000000000 | 1111111111111111 | 0 | 0 | 0 | 0 | 1 | 0 | 1111111111111111 |
| 0000000000000000 | 1111111111111111 | 0 | 1 | 0 | 0 | 1 | 1 | 0000000000000001 |
| 0000000000000000 | 1111111111111111 | 0 | 0 | 0 | 1 | 1 | 1 | 1111111111111111 |
| 0000000000000000 | 1111111111111111 | 0 | 0 | 0 | 0 | 0 | 0 | 0000000000000000 |
| 0000000000000000 | 1111111111111111 | 0 | 1 | 0 | 1 | 0 | 1 | 1111111111111111 |
| 0101101110100000 | 0001111011010010 | 1 | 0 | 1 | 0 | 1 | 0 | 0000000000000000 |
| 0101101110100000 | 0001111011010010 | 1 | 1 | 1 | 1 | 1 | 1 | 0000000000000001 |
| 0101101110100000 | 0001111011010010 | 1 | 1 | 1 | 0 | 1 | 0 | 1111111111111111 |
| 0101101110100000 | 0001111011010010 | 0 | 0 | 1 | 1 | 0 | 0 | 0101101110100000 |
| 0101101110100000 | 0001111011010010 | 1 | 1 | 0 | 0 | 0 | 0 | 0001111011010010 |
| 0101101110100000 | 0001111011010010 | 0 | 0 | 1 | 1 | 0 | 1 | 1010010001011111 |
| 0101101110100000 | 0001111011010010 | 1 | 1 | 0 | 0 | 0 | 1 | 1110000100101101 |
| 0101101110100000 | 0001111011010010 | 0 | 0 | 1 | 1 | 1 | 1 | 1010010001100000 |
| 0101101110100000 | 0001111011010010 | 1 | 1 | 0 | 0 | 1 | 1 | 1110000100101110 |
| 0101101110100000 | 0001111011010010 | 0 | 1 | 1 | 1 | 1 | 1 | 0101101110100001 |
| 0101101110100000 | 0001111011010010 | 1 | 1 | 0 | 1 | 1 | 1 | 0001111011010011 |
| 0101101110100000 | 0001111011010010 | 0 | 0 | 1 | 1 | 1 | 0 | 0101101110011111 |
| 0101101110100000 | 0001111011010010 | 1 | 1 | 0 | 0 | 1 | 0 | 0001111011010001 |
| 0101101110100000 | 0001111011010010 | 0 | 0 | 0 | 0 | 1 | 0 | 0111101001110010 |
| 0101101110100000 | 0001111011010010 | 0 | 1 | 0 | 0 | 1 | 1 | 0011110011001110 |
| 0101101110100000 | 0001111011010010 | 0 | 0 | 0 | 1 | 1 | 1 | 1100001100110010 |
| 0101101110100000 | 0001111011010010 | 0 | 0 | 0 | 0 | 0 | 0 | 0001101010000000 |
| 0101101110100000 | 0001111011010010 | 0 | 1 | 0 | 1 | 0 | 1 | 0101111111110010 |

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projects/02/ALU-nostat.out Normal file
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| x | y |zx |nx |zy |ny | f |no | out |
| 0000000000000000 | 1111111111111111 | 1 | 0 | 1 | 0 | 1 | 0 | 0000000000000000 |
| 0000000000000000 | 1111111111111111 | 1 | 1 | 1 | 1 | 1 | 1 | 0000000000000001 |
| 0000000000000000 | 1111111111111111 | 1 | 1 | 1 | 0 | 1 | 0 | 1111111111111111 |
| 0000000000000000 | 1111111111111111 | 0 | 0 | 1 | 1 | 0 | 0 | 0000000000000000 |
| 0000000000000000 | 1111111111111111 | 1 | 1 | 0 | 0 | 0 | 0 | 1111111111111111 |
| 0000000000000000 | 1111111111111111 | 0 | 0 | 1 | 1 | 0 | 1 | 1111111111111111 |
| 0000000000000000 | 1111111111111111 | 1 | 1 | 0 | 0 | 0 | 1 | 0000000000000000 |
| 0000000000000000 | 1111111111111111 | 0 | 0 | 1 | 1 | 1 | 1 | 0000000000000000 |
| 0000000000000000 | 1111111111111111 | 1 | 1 | 0 | 0 | 1 | 1 | 0000000000000001 |
| 0000000000000000 | 1111111111111111 | 0 | 1 | 1 | 1 | 1 | 1 | 0000000000000001 |
| 0000000000000000 | 1111111111111111 | 1 | 1 | 0 | 1 | 1 | 1 | 0000000000000000 |
| 0000000000000000 | 1111111111111111 | 0 | 0 | 1 | 1 | 1 | 0 | 1111111111111111 |
| 0000000000000000 | 1111111111111111 | 1 | 1 | 0 | 0 | 1 | 0 | 1111111111111110 |
| 0000000000000000 | 1111111111111111 | 0 | 0 | 0 | 0 | 1 | 0 | 1111111111111111 |
| 0000000000000000 | 1111111111111111 | 0 | 1 | 0 | 0 | 1 | 1 | 0000000000000001 |
| 0000000000000000 | 1111111111111111 | 0 | 0 | 0 | 1 | 1 | 1 | 1111111111111111 |
| 0000000000000000 | 1111111111111111 | 0 | 0 | 0 | 0 | 0 | 0 | 0000000000000000 |
| 0000000000000000 | 1111111111111111 | 0 | 1 | 0 | 1 | 0 | 1 | 1111111111111111 |
| 0101101110100000 | 0001111011010010 | 1 | 0 | 1 | 0 | 1 | 0 | 0000000000000000 |
| 0101101110100000 | 0001111011010010 | 1 | 1 | 1 | 1 | 1 | 1 | 0000000000000001 |
| 0101101110100000 | 0001111011010010 | 1 | 1 | 1 | 0 | 1 | 0 | 1111111111111111 |
| 0101101110100000 | 0001111011010010 | 0 | 0 | 1 | 1 | 0 | 0 | 0101101110100000 |
| 0101101110100000 | 0001111011010010 | 1 | 1 | 0 | 0 | 0 | 0 | 0001111011010010 |
| 0101101110100000 | 0001111011010010 | 0 | 0 | 1 | 1 | 0 | 1 | 1010010001011111 |
| 0101101110100000 | 0001111011010010 | 1 | 1 | 0 | 0 | 0 | 1 | 1110000100101101 |
| 0101101110100000 | 0001111011010010 | 0 | 0 | 1 | 1 | 1 | 1 | 1010010001100000 |
| 0101101110100000 | 0001111011010010 | 1 | 1 | 0 | 0 | 1 | 1 | 1110000100101110 |
| 0101101110100000 | 0001111011010010 | 0 | 1 | 1 | 1 | 1 | 1 | 0101101110100001 |
| 0101101110100000 | 0001111011010010 | 1 | 1 | 0 | 1 | 1 | 1 | 0001111011010011 |
| 0101101110100000 | 0001111011010010 | 0 | 0 | 1 | 1 | 1 | 0 | 0101101110011111 |
| 0101101110100000 | 0001111011010010 | 1 | 1 | 0 | 0 | 1 | 0 | 0001111011010001 |
| 0101101110100000 | 0001111011010010 | 0 | 0 | 0 | 0 | 1 | 0 | 0111101001110010 |
| 0101101110100000 | 0001111011010010 | 0 | 1 | 0 | 0 | 1 | 1 | 0011110011001110 |
| 0101101110100000 | 0001111011010010 | 0 | 0 | 0 | 1 | 1 | 1 | 1100001100110010 |
| 0101101110100000 | 0001111011010010 | 0 | 0 | 0 | 0 | 0 | 0 | 0001101010000000 |
| 0101101110100000 | 0001111011010010 | 0 | 1 | 0 | 1 | 0 | 1 | 0101111111110010 |

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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;

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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 |

82
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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,
nx,
zy,
ny,
f,
no;
OUT
out[16], /* 16-bit output */
zr, /* 1 if (out == 0), 0 otherwise */
ng; /* 1 if (out < 0), 0 otherwise */
PARTS:
/* zero the x input */
And16(a=x, b=false, out=zerox);
Mux16(a=x, b=zerox, sel=zx, out=x1);
/* negate the x input? */
Not16(in=x1, out=negx);
Mux16(a=x1, b=negx, sel=nx, out=x2);
/* zero the y input */
And16(a=y, b=false, out=zeroy);
Mux16(a=y, b=zeroy, sel=zy, out=y1);
/* negate the x input? */
Not16(in=y1, out=negy);
Mux16(a=y1, b=negy, sel=ny, out=y2);
/* compute out = x + y (if 1) or x & y (if 0) */
Add16(a=x2, b=y2, out=sum);
And16(a=x2, b=y2, out=and);
Mux16(a=and, b=sum, sel=f, out=result);
/* negate the out output? */
Not16(in=result, out=negresult);
Mux16(a=result, b=negresult, sel=no, out=out);
Mux16(a=result, b=negresult, sel=no, out=resultout);
/* if the ALU output == 0, zr is set to 1; otherwise zr is set to 0; */
Or16Way(in=resultout, out=notzr);
Not(in=notzr, out=zr);
/* if the ALU output < 0, ng is set to 1; otherwise ng is set to 0. */
IsNeg(in=resultout, out=ng);
}

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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 |

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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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// 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=carry0);
FullAdder(a=a[1], b=b[1], c=carry0, sum=out[1], carry=carry1);
FullAdder(a=a[2], b=b[2], c=carry1, sum=out[2], carry=carry2);
FullAdder(a=a[3], b=b[3], c=carry2, sum=out[3], carry=carry3);
FullAdder(a=a[4], b=b[4], c=carry3, sum=out[4], carry=carry4);
FullAdder(a=a[5], b=b[5], c=carry4, sum=out[5], carry=carry5);
FullAdder(a=a[6], b=b[6], c=carry5, sum=out[6], carry=carry6);
FullAdder(a=a[7], b=b[7], c=carry6, sum=out[7], carry=carry7);
FullAdder(a=a[8], b=b[8], c=carry7, sum=out[8], carry=carry8);
FullAdder(a=a[9], b=b[9], c=carry8, sum=out[9], carry=carry9);
FullAdder(a=a[10], b=b[10], c=carry9, sum=out[10], carry=carry10);
FullAdder(a=a[11], b=b[11], c=carry10, sum=out[11], carry=carry11);
FullAdder(a=a[12], b=b[12], c=carry11, sum=out[12], carry=carry12);
FullAdder(a=a[13], b=b[13], c=carry12, sum=out[13], carry=carry13);
FullAdder(a=a[14], b=b[14], c=carry13, sum=out[14], carry=carry14);
FullAdder(a=a[15], b=b[15], c=carry14, sum=out[15], carry=carry15);
}

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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// 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;

9
projects/02/FullAdder.cmp Normal file
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@@ -0,0 +1,9 @@
| a | b | c | sum | carry |
| 0 | 0 | 0 | 0 | 0 |
| 0 | 0 | 1 | 1 | 0 |
| 0 | 1 | 0 | 1 | 0 |
| 0 | 1 | 1 | 0 | 1 |
| 1 | 0 | 0 | 1 | 0 |
| 1 | 0 | 1 | 0 | 1 |
| 1 | 1 | 0 | 0 | 1 |
| 1 | 1 | 1 | 1 | 1 |

19
projects/02/FullAdder.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/02/FullAdder.hdl
/**
* Computes the sum of three bits.
*/
CHIP FullAdder {
IN a, b, c; // 1-bit inputs
OUT sum, // Right bit of a + b + c
carry; // Left bit of a + b + c
PARTS:
HalfAdder(a=a, b=b, sum=sum1, carry=carry1);
HalfAdder(a=sum1, b=c, sum=sum, carry=carry2);
Or(a=carry1, b=carry2, out=carry);
}

9
projects/02/FullAdder.out Normal file
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| a | b | c | sum | carry |
| 0 | 0 | 0 | 0 | 0 |
| 0 | 0 | 1 | 1 | 0 |
| 0 | 1 | 0 | 1 | 0 |
| 0 | 1 | 1 | 0 | 1 |
| 1 | 0 | 0 | 1 | 0 |
| 1 | 0 | 1 | 0 | 1 |
| 1 | 1 | 0 | 0 | 1 |
| 1 | 1 | 1 | 1 | 1 |

47
projects/02/FullAdder.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/FullAdder.tst
load FullAdder.hdl,
output-file FullAdder.out,
compare-to FullAdder.cmp,
output-list a%B3.1.3 b%B3.1.3 c%B3.1.3 sum%B3.1.3 carry%B3.1.3;
set a 0,
set b 0,
set c 0,
eval,
output;
set c 1,
eval,
output;
set b 1,
set c 0,
eval,
output;
set c 1,
eval,
output;
set a 1,
set b 0,
set c 0,
eval,
output;
set c 1,
eval,
output;
set b 1,
set c 0,
eval,
output;
set c 1,
eval,
output;

5
projects/02/HalfAdder.cmp Normal file
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@@ -0,0 +1,5 @@
| a | b | sum | carry |
| 0 | 0 | 0 | 0 |
| 0 | 1 | 1 | 0 |
| 1 | 0 | 1 | 0 |
| 1 | 1 | 0 | 1 |

18
projects/02/HalfAdder.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/02/HalfAdder.hdl
/**
* Computes the sum of two bits.
*/
CHIP HalfAdder {
IN a, b; // 1-bit inputs
OUT sum, // Right bit of a + b
carry; // Left bit of a + b
PARTS:
Xor(a=a, b=b, out=sum);
And(a=a, b=b, out=carry);
}

5
projects/02/HalfAdder.out Normal file
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@@ -0,0 +1,5 @@
| a | b | sum | carry |
| 0 | 0 | 0 | 0 |
| 0 | 1 | 1 | 0 |
| 1 | 0 | 1 | 0 |
| 1 | 1 | 0 | 1 |

29
projects/02/HalfAdder.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/02/HalfAdder.tst
load HalfAdder.hdl,
output-file HalfAdder.out,
compare-to HalfAdder.cmp,
output-list a%B3.1.3 b%B3.1.3 sum%B3.1.3 carry%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;

5
projects/02/Inc16.cmp Normal file
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@@ -0,0 +1,5 @@
| in | out |
| 0000000000000000 | 0000000000000001 |
| 1111111111111111 | 0000000000000000 |
| 0000000000000101 | 0000000000000110 |
| 1111111111111011 | 1111111111111100 |

17
projects/02/Inc16.hdl 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/02/Inc16.hdl
/**
* 16-bit incrementer:
* out = in + 1 (arithmetic addition)
*/
CHIP Inc16 {
IN in[16];
OUT out[16];
PARTS:
Add16(a=in, b[0]=true, b[1..15]=false, out=out);
}

5
projects/02/Inc16.out Normal file
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@@ -0,0 +1,5 @@
| in | out |
| 0000000000000000 | 0000000000000001 |
| 1111111111111111 | 0000000000000000 |
| 0000000000000101 | 0000000000000110 |
| 1111111111111011 | 1111111111111100 |

25
projects/02/Inc16.tst Normal file
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@@ -0,0 +1,25 @@
// 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/Inc16.tst
load Inc16.hdl,
output-file Inc16.out,
compare-to Inc16.cmp,
output-list in%B1.16.1 out%B1.16.1;
set in %B0000000000000000, // in = 0
eval,
output;
set in %B1111111111111111, // in = -1
eval,
output;
set in %B0000000000000101, // in = 5
eval,
output;
set in %B1111111111111011, // in = -5
eval,
output;

9
projects/02/IsNeg.hdl Normal file
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@@ -0,0 +1,9 @@
CHIP IsNeg {
IN in[16];
OUT out;
PARTS:
Not(in=in[15], out=notneg);
Not(in=notneg, out=out);
}

25
projects/02/Or16Way.hdl Normal file
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CHIP Or16Way {
IN in[16];
OUT out;
PARTS:
Or(a=in[0], b=in[1], out=a1);
Or(a=in[2], b=in[3], out=a2);
Or(a=in[4], b=in[5], out=a3);
Or(a=in[6], b=in[7], out=a4);
Or(a=in[8], b=in[9], out=a5);
Or(a=in[10], b=in[11], out=a6);
Or(a=in[12], b=in[13], out=a7);
Or(a=in[14], b=in[15], out=a8);
Or(a=a1, b=a2, out=b1);
Or(a=a3, b=a4, out=b2);
Or(a=a5, b=a6, out=b3);
Or(a=a7, b=a8, out=b4);
Or(a=b1, b=b2, out=c1);
Or(a=b3, b=b4, out=c2);
Or(a=c1, b=c2, out=out);
}