0370. Show how you would subtract 35 from 76 using both one’s comlpiment and two’s compliment.

76 = 1001100₂ Or 0000000001001100₂ (On 16-bits)

35 = 100011₂ Or 0000000000100011₂ (On 16-bits)

ONE’S Compliment:

-35 (in one’s compliment) would be:

0000000000100011

↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓

1111111111011100

Subtracting 35 from 76 (76 + -35) would yield:

0000000001001100 (+76)

+ 1111111111011100 (-35)

0000000000101000

HOWEVER, since the result is non-negative, we must add 1:

0000000000101000

+ 0000000000000001

0000000000101001

Check: 0000000000101001₂ = 25 + 23 = 32 + 8 +1 = 41 (correct)

TWO’S Compliment:

-35 (in two’s compliment) would be:

1111111111011100

+ 1

1111111111011101

Subtracting 35 from 76 (76 + -35) would yield:

0000000001001100 (+76)

+ 1111111111011101 (-35)

0000000000101001

Check: 0000000000101001₂ = 25 + 23 = 32 + 8 +1 = 41 (correct)