What is the 4+4 bit binary fixed-point equivalent of −(3.72)₁₀?

1. A0011.1100
2. B0011.1010
3. C1100.0100
4. D0011.1011

Pick an option to check yourself, or open the answer below.

Show answer & explanation

Correct answer: C. 1100.0100

Explanation

3.72: integer part 0011; 0.72 × 16 = 11.52 ≈ 12 = 1100, so 3.72 ≈ 0011.1100. Two's complement: invert to 1100.0011 and add 1 → 1100.0100.