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# IEEE 32-bit floating point format to decimal conversion

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Convert the following IEEE 32-bit floating-point format values into decimal.

a. 1 1000 0011 110 0000 0000 0000 0000 0000
b. 0 0111 1110 101 0000 0000 0000 0000 0000
c. 0 1000 0000 000 0000 0000 0000 0000 0000.

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Solution also explains the choice of formula, apart from showing the calculations steps.

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IEEE 32-bit Floating Point Format organizes the 32 bits (numbered from 0 to 31, left to right) as follows.

bit 0 : S (sign) bit
bits 1-8 : E (exponent)
bits 9-31 : F (fraction)

In all the three questions, 0 < E < 255, so the formula to find the equivalent ...

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