Perform the following operations by converting the operands to 2's complement binary numbers and then doing the addition or subtraction shown. Please show all work in binary, operating on 16-bit numbers.
(a) 3 + 12
(b) 13 - 2
(c) 5 - 6
(d) -7 - (-7)

Question

Quizplus · Accepted Answer

The Answer is a.

The decimal value of the result is 15
b.
0000 0000 0000 1101 (13)
+ 1111 1111 1111 1110 (-2)

0000 0000 0000 1011
The decimal value of the result is 11 (we ignored the carry here)
c.
0000 0000 0000 0101 (5)
+ 1111 1111 1111 1010 (-6)

1111 1111 1111 1111
The decimal value of the result is -1
d.
1111 1111 1111 1001 (-7)
+ 0000 0000 0000 0111 (7)

0000 0000 0000 0000
The decimal value of the result is 0 (we ignored the carry here)

Perform the Following Operations by Converting the Operands to 2's