Gate2017 ss Q24

0. Given the following binary number in 32-bit (single precision) IEEE-754 format:
00111110011011010000000000000000
The decimal value closest to this floating-point number is-

Answer
Comment
Array

Option : C
Explanation :
Sign = 0
= +ve
AE= BE-Bias
= 01111100-01111111
AE= 11111101
Here sign of AE is negative so take two's complement of AE = 00000011
Mantissa: Normal Mantissa = 1.M = 1.1101101
Data + 1.1101101 x 2-3
Hence answer is 2.27 x 10-1

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