// 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:
    Not(in=sel[0],out=negSel1);
    Not(in=sel[1],out=negSel2);
    Not(in=sel[2],out=negSel3);

    And(a=in,b=sel[0],out=out1);
    And(a=in,b=negSel1,out=out2);
    And(a=in,b=sel[1],out=out3);
    And(a=in,b=negSel2,out=out4);
    And(a=in,b=sel[2],out=out5);
    And(a=in,b=negSel3,out=out6);

    And(a=out1,b=out3,out=outX11);
    And(a=out2,b=out3,out=outX10);
    And(a=out1,b=out4,out=outX01);
    And(a=out2,b=out4,out=outX00);

    And(a=outX11,b=out5,out=h);
    And(a=outX10,b=out5,out=g);
    And(a=outX01,b=out5,out=f);
    And(a=outX00,b=out5,out=e);
    And(a=outX11,b=out6,out=d);
    And(a=outX10,b=out6,out=c);
    And(a=outX01,b=out6,out=b);
    And(a=outX00,b=out6,out=a);



}