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nand2tetris/project-2-boolean-arithmetic/hdl/ALU.hdl
2026-01-19 09:10:16 +01:00

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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/2/ALU.hdl
/**
* ALU (Arithmetic Logic Unit):
* Computes out = one of the following functions:
* 0, 1, -1,
* x, y, !x, !y, -x, -y,
* x + 1, y + 1, x - 1, y - 1,
* x + y, x - y, y - x,
* x & y, x | y
* on the 16-bit inputs x, y,
* according to the input bits zx, nx, zy, ny, f, no.
* In addition, computes the two output bits:
* if (out == 0) zr = 1, else zr = 0
* if (out < 0) ng = 1, else ng = 0
*/
// Implementation: Manipulates the x and y inputs
// and operates on the resulting values, as follows:
// if (zxxx // 16-bit constant
// if (nx == 1) sets x = !x // bitwise not
// if (zy == 1) sets y = 0 // 16-bit constant
// if (ny == 1) sets y = !y // bitwise not
// if (f == 1) sets out = x + y // integer 2's complement addition
// if (f == 0) sets out = x & y // bitwise and
// if (no == 1) sets out = !out // bitwise not
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) or (out = x & y)?
no; // negate the out output?
OUT
out[16], // 16-bit output
zr, // if (out == 0) equals 1, else 0
ng; // if (out < 0) equals 1, else 0
PARTS:
// zx
Mux16(a=x, b[0..15]=false , sel=zx, out=zeroedX);
// nz
Not16(in=zeroedX, out=notX);
Mux16(a=zeroedX,b=notX,sel=nx, out=processedX);
//zy
Mux16(a=y, b[0..15]=false , sel=zy, out=zeroedY);
//ny
Not16(in=zeroedY, out=notY);
Mux16(a=zeroedY,b=notY,sel=ny, out=processedY);
// f
And16(a=processedX , b=processedY , out=andXY);
Add16(a=processedX , b=processedY , out=addXY);
Mux16(a=andXY, b=addXY,sel=f, out= fOut );
// no
Not16(in=fOut, out=notF);
Mux16(a=fOut, b=notF, sel=no,
// variable wire
out[0..7]=finalResultp1,
out[8..15]=finalResultp2,
// out
out=out,
out[15]=ng
);
//zr
Or8Way(in=finalResultp1 , out=zr8wayoutp1);
Or8Way(in=finalResultp2 , out=zr8wayoutp2);
Or(a=zr8wayoutp1, b= zr8wayoutp2, out=zrOut);
Not(in= zrOut, out= zr);
//ng
// output from Mux16 in no
//// Replace this comment with your code.
}