// 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 }