Write down the single double precision of 01262tenSolutionD

Write down the single & double precision of (0.1262)ten

Solution

Decimal representation :- 0.1262

Binary representation :- 0.0010000001001110101001001010100011000001010101001100101

Single precision :-

sign bit= +1

Exponent bits = 124 = 2^{-127 + 124} = 2^-3

Mantissa = 00000010011101010010011

Double Precision :-

sign bit= +1

Exponent bits = 124 = 2^{-127 + 124} = 2^-3

Mantissa = 0000001001110101001001010100011000001010101001100101