Question 96

Computer Awareness Computer memory Easy

Represent the given number in the IEEE Standard 754 single preision floating point format 85.125

(A) 01000010101010100100000000000000
(B) 00111110101010100100000000000000
(C) 00111111101010100100000000000000
(D) 11000010101010100100000000000000
✓ Correct Answer: Option A Verified Solution

📘 Step-by-Step Solution & Detailed Explanation:

Step 1: convert to binary. 85 = 1010101 and 0.125 = .001, so 85.125 = 1010101.001₂.

Step 2: normalise. \(1.010101001 \times 2^6\)

Step 3: fill in the fields.

  • Sign = 0 (positive)
  • Exponent = 6 + 127 = 133 = 10000101
  • Mantissa = 01010100100000000000000 (23 bits)

Result: 0 10000101 01010100100000000000000 = 01000010101010100100000000000000

Answer: (A)

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