The decimal value 0.5 in IEEE single precision floating point representation has
Topic-wise GATE CS PYQs with verified steps
GATE CSE 2012 · Q7
Time
Select one answerSingle correct
Solution
Official answer: B) fraction bits of 000...000 and exponent value of -1
Number Representation and ArithmeticIn IEEE 754 single-precision format:
The binary representation of the decimal number is .
Normalized scientific notation is:
The actual exponent value is (stored as a biased exponent ).
The significand has an implicit leading , so the stored fraction (mantissa) bits after the binary point are .
Thus, the representation has fraction bits of and an exponent value of , which corresponds to option (B).
Try the question first, then check your work.
Examiner trap
Write in normalized binary scientific notation .
This Number Representation and Arithmetic previous year question is Q7 of the GATE CSE 2012 paper. Find more GATE CSE PYQs on Number Representation and Arithmetic in Digital Logic, or browse all GATE CSE PYQs.
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Number Representation and Arithmetic has 33 GATE CSE PYQs across 20 papers from 2012 to 2026. 13 of them are 1-mark MCQs like this one, and it is the only one in GATE CSE 2012.
How GATE tests Number Representation and ArithmeticIndependent practice explanation verified by the GateAI team. GATE is conducted by the IITs; question text follows the official paper.