Question

Need Help with binary addition. The following needs to be added 16-bits at a time. the result should then be converted to 1s complement.

10011001 00010010

00001000 01101001

10101011 00000010

00001110 00001010

00000000 00010001

00000000 00001111

00000100 00111111

00000000 00001101

00000000 00001111

00000000 00000000

01010100 01000101

01010011 01010100

01001001 01001110

+01000111 00000000

Answer 1

   10011001 00010010
   00001000 01101001
   10101011 00000010
   00001110 00001010
   00000000 00010001
   00000000 00001111
   00000100 00111111
   00000000 00001101
   00000000 00001111
   00000000 00000000
   01010100 01000101
   01010011 01010100
   01001001 01001110
 + 01000111 00000000
--------------------
10 10010110 11101001‬

As you can see the addition of all 14 binary numbers is an 18-bit binary number i.e. there is an overflow.

Since we're dealing with only 16-bit binary numbers, therefore, we need to exclude two MSBs(Most Significant Bits).

So our result becomes

10010110 11101001‬

1's complement of 10010110 11101001‬ = 01101001 00010110