Question

The sign magnitude representation of $-1$ is:

• A. 0001
• B. 1110
• C. 1000
• D. 1001

Hint:

Sign magnitude form: First bit = sign, remaining bits = magnitude. Positive = 0, Negative = 1.

Answer 1

The Correct Option is D

In sign magnitude representation for a 4-bit binary number:
- The first bit (most significant bit) represents the sign: 0 for positive, 1 for negative.
- The remaining bits represent the magnitude (absolute value) of the number.
For $-1$:
- Sign bit = 1 (negative)
- Magnitude = binary of 1 = 001 (3 bits)
Combining: Sign bit (1) + Magnitude (001) = 1001
Thus, the sign magnitude representation of $-1$ is $\mathbf1001$.