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Question

Digital Logic Question on Computer Arithmetic

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

A

1.45 × 101

B

1.45 × 10-1

C

2.27 × 10-1

D

2.27 × 101

Answer

2.27 × 10-1

Explanation

Solution

The correct answer is(C): 2.27 × 10-1