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Complete project 2
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64
Assignments/2_Boolean_Arithmetic/ALU.hdl
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64
Assignments/2_Boolean_Arithmetic/ALU.hdl
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// This file is part of www.nand2tetris.org
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// and the book "The Elements of Computing Systems"
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// by Nisan and Schocken, MIT Press.
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// File name: projects/2/ALU.hdl
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/**
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* ALU (Arithmetic Logic Unit):
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* Computes out = one of the following functions:
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* 0, 1, -1,
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* x, y, !x, !y, -x, -y,
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* x + 1, y + 1, x - 1, y - 1,
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* x + y, x - y, y - x,
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* x & y, x | y
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* on the 16-bit inputs x, y,
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* according to the input bits zx, nx, zy, ny, f, no.
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* In addition, computes the two output bits:
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* if (out == 0) zr = 1, else zr = 0
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* if (out < 0) ng = 1, else ng = 0
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*/
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// Implementation: Manipulates the x and y inputs
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// and operates on the resulting values, as follows:
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// if (zx == 1) sets x = 0 // 16-bit constant
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// if (nx == 1) sets x = !x // bitwise not
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// if (zy == 1) sets y = 0 // 16-bit constant
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// if (ny == 1) sets y = !y // bitwise not
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// if (f == 1) sets out = x + y // integer 2's complement addition
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// if (f == 0) sets out = x & y // bitwise and
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// if (no == 1) sets out = !out // bitwise not
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CHIP ALU {
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IN
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x[16], y[16], // 16-bit inputs
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zx, // zero the x input?
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nx, // negate the x input?
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zy, // zero the y input?
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ny, // negate the y input?
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f, // compute (out = x + y) or (out = x & y)?
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no; // negate the out output?
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OUT
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out[16], // 16-bit output
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zr, // if (out == 0) equals 1, else 0
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ng; // if (out < 0) equals 1, else 0
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PARTS:
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Mux16(a=x, b=false, sel=zx, out=zxr);
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Not16(in=zxr, out=nxr);
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Mux16(a=zxr, b=nxr, sel=nx, out=xr);
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Mux16(a=y, b=false, sel=zy, out=zyr);
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Not16(in=zyr, out=nyr);
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Mux16(a=zyr, b=nyr, sel=ny, out=yr);
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Add16(a=xr, b=yr, out=s);
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And16(a=xr, b=yr, out=a);
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Mux16(a=a, b=s, sel=f, out=r);
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Not16(in=r, out=nr);
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Mux16(a=r, b=nr, sel=no, out=out, out[15]=ng, out[0..7]=r1, out[8..15]=r2);
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Or8Way(in=r1, out=o1);
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Or8Way(in=r2, out=o2);
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Or(a=o1, b=o2, out=nzr);
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Not(in=nzr, out=zr);
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}
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