Question

The 2’s complement representation of the decimal value $-15$ is

• A. \(1111\)
• B. \(11111\)
• C. \(111111\)
• D. \(10001\)

Hint:

To find 2’s complement: invert the bits and add 1; ensure fixed width based on number size.

Answer 1

The Correct Option is D

Binary of \(15\) = \(01111\), 2’s complement = invert + 1
\[ \text{Inversion: } 10000,\quad \text{Add 1: } 10001 \]