GATE CSE 2026 Session 2 Q34: Decode the IEEE 754 single-precision value 0xC2710000
- Digital Logic
- 1 mark
- NAT
- No negative marking
Question
The 32-bit IEEE 754 single precision representation of a number is 0xC2710000. The number in decimal representation is ________. (rounded off to two decimal places)
Try it: numerical answer: type the value
Numerical answer. No negative marking.
Show answer and explanation
Answer: -60.25 (official GATE 2026 final answer key)
Concept used: Single precision: 1 sign bit, 8 exponent bits (bias 127), 23 fraction bits with hidden 1.
First step: Write 0xC2710000 in binary and split it: sign 1, exponent 10000100 (= 132), fraction 1110001000….
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Source: official GATE 2026 Session 2 CS question paper and final answer key, organised by IIT Guwahati. Question paper · Answer key
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