Question 92

Computer Awareness Number representations Easy

The representation of a floation point binary number +1001.11 in 8 -bit fraction and 6-bit exponent formate is

(A) Fraction : 01001110 exponent : 000100
(B) Fraction : 00001001 exponent : 000011
(C) Fraction : 10010000 exponent : 110000
(D) Fraction: 00100100 exponent :011000
✓ Correct Answer: Option A Verified Solution

📘 Step-by-Step Solution & Detailed Explanation:

Normalise as a fraction: \(+1001.11 = 0.100111 \times 2^{4}\).

  • Fraction (8 bits, sign first): sign 0, then the magnitude bits 1001110, giving 01001110.
  • Exponent (6 bits): 4 = 000100.

Answer: (A)

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