Given the 32-bit pattern: 0 10000001 11001100 00000000 0000000 What is the decimal value of the...

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Given the 32-bit pattern: 0 10000001 11001100 00000000 0000000 What is the decimal value of the IEEE floating point value it represents?

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Answer 1

Answer #1

0 10000001 11001100000000000000000
sign bit is 0(+ve)
exp bits are 10000001 => in decimal it is 129
so, exponent/bias is 129-127 = 2
frac bits are 110011

Decimal value is 1.110011 * 2^2 => 111.0011
111.0011 in decimal is 7.1875

so, 0 10000001 11001100000000000000000 in IEEE-754 single precision format is 7.1875

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Answer 2

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