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← GATE CSE 2021 Set 1

Q24

NAT1 mark

Consider the following representation of a number in IEEE 754\text{IEEE 754} single-precision floating point format with a bias of 127127.

S:1E:  10000001F:  11110000000000000000000S: 1\quad\quad E:\; 10000001\quad\quad F:\;11110000000000000000000

Here S,  ES, \;E and FF denote the sign, exponent, and fraction components of the floating point representation. The decimal value corresponding to the above representation (rounded to 22 decimal places) is ____________.

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