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Digital Arithmetic Operations and Circuits - Technical MCQs

Q1:

Solving –11 + (–2) will yield which two's-complement answer?

A 1110 1101

B 1111 1001

C 1111 0011

D 1110 1001

ANS:C - 1111 0011

11 in binary -> 0000 1011.

2's complement of (0000 1011) is 1111 0101(-11)

2 in binary -> 0000 0010.

2's complement of (0000 0010) is 1111 1110(-2).

Now Add 1111 0101(-11) and 1111 1110(-2)
1111 0101 (-11)
+ 1111 1110 (-2)
------------------------
11111 0011

So, the Answer of -11 + (-2) is 1111 0011.