Home › Previous year questions › GATE 2021 CS (CS2) › Question 14GATE 2021 CS (CS2) – Question 14 Digital Logic · Number Representation and Arithmetic · 1 mark · Multiple choice
For IEEE 754 single precision, which exponent/fraction fields represent the smallest normalized positive value? The sign is zero.
Exponent 00000000; fraction all zeros Exponent 00000000; fraction ending in 1, other bits zero Exponent 00000001; fraction all zeros Exponent 00000001; fraction ending in 1, other bits zero Practise this question in The GATE Grind →
Show answer and explanation Correct answer: (C) Exponent 00000001; fraction all zeros
Explanation Normalized numbers use nonzero, non-all-one biased exponents and an implicit leading one. The smallest normalized exponent field is one, representing exponent 1−127=−126, and the smallest fraction is zero. Thus C gives 2⁻¹²⁶; zero exponent denotes zero or subnormal values.
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