HALFADDER

CHIP HalfAdder {
    IN a, b;    // 1-bit inputs
    OUT sum,    // Right bit of a + b 
        carry;  // Left bit of a + b

    PARTS:
    // Put you code here:
    Xor(a=a, b=b, out=sum);
    And(a=a, b=b, out=carry);
}

FULLADDER

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:
    // Put you code here:
    HalfAdder(a=a,b=b,sum=ab,carry=cab);
    HalfAdder(a=c,b=ab,sum=sum,carry=s);
    Or(a=cab,b=s,out=carry);
}

ADD16

CHIP Add16 {
    IN a[16], b[16];
    OUT out[16];

    PARTS:
   // Put you code here:
   HalfAdder(a=a[0], b=b[0], sum=out[0], carry=c0);
   FullAdder(a=a[1], b=b[1], c=c0, sum=out[1], carry=c1);
   FullAdder(a=a[2], b=b[2], c=c1, sum=out[2], carry=c2);
   FullAdder(a=a[3], b=b[3], c=c2, sum=out[3], carry=c3);
   FullAdder(a=a[4], b=b[4], c=c3, sum=out[4], carry=c4);
   FullAdder(a=a[5], b=b[5], c=c4, sum=out[5], carry=c5);
   FullAdder(a=a[6], b=b[6], c=c5, sum=out[6], carry=c6);
   FullAdder(a=a[7], b=b[7], c=c6, sum=out[7], carry=c7);
   FullAdder(a=a[8], b=b[8], c=c7, sum=out[8], carry=c8);
   FullAdder(a=a[9], b=b[9], c=c8, sum=out[9], carry=c9);
   FullAdder(a=a[10], b=b[10], c=c9, sum=out[10], carry=c10);
   FullAdder(a=a[11], b=b[11], c=c10, sum=out[11], carry=c11);
   FullAdder(a=a[12], b=b[12], c=c11, sum=out[12], carry=c12);
   FullAdder(a=a[13], b=b[13], c=c12, sum=out[13], carry=c13);
   FullAdder(a=a[14], b=b[14], c=c13, sum=out[14], carry=c14);
   FullAdder(a=a[15], b=b[15], c=c14, sum=out[15], carry=c15);
}

INC16

CHIP Inc16 {
    IN in[16];
    OUT out[16];

    PARTS:
   // Put you code here:
   HalfAdder(a=in[0], b=true, carry=c0, sum=out[0]);
   HalfAdder(a=in[1], b=c0, carry=c1, sum=out[1]);
   HalfAdder(a=in[2], b=c1, carry=c2, sum=out[2]);
   HalfAdder(a=in[3], b=c2, carry=c3, sum=out[3]);
   HalfAdder(a=in[4], b=c3, carry=c4, sum=out[4]);
   HalfAdder(a=in[5], b=c4, carry=c5, sum=out[5]);
   HalfAdder(a=in[6], b=c5, carry=c6, sum=out[6]);
   HalfAdder(a=in[7], b=c6, carry=c7, sum=out[7]);
   HalfAdder(a=in[8], b=c7, carry=c8, sum=out[8]]);
   HalfAdder(a=in[9], b=c8, carry=c9, sum=out[9]);
   HalfAdder(a=in[10], b=c9, carry=c10, sum=out[10]);
   HalfAdder(a=in[11], b=c10, carry=c11, sum=out[11]);
   HalfAdder(a=in[12], b=c11, carry=c12, sum=out[12]);
   HalfAdder(a=in[13], b=c12, carry=c13, sum=out[13]);
   HalfAdder(a=in[14], b=c13, carry=c14, sum=out[14]);
   HalfAdder(a=in[15], b=c14, carry=c15, sum=out[15]);
}