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IEEE single precision floating point standard question?

Mutant · 2011-08-19 20:01:54

The IEEE single precision floating point standard representation requires a 32-bit word, which may be represented as numbered bits from 31 to 0 , left to right. Bit 31 is the sign bit S, the next bits 30 to 23 are the exponent bits E, and the lower 23 bits are the fraction F. S EEEEEEEE FFFFFFFFFFFFFFFFFFFFFFF Convert…

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19-08-2011 9:01pm

#1

Mutant

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Posts: 86

The IEEE single precision floating point standard representation requires a 32-bit word, which may be represented as numbered bits from 31 to 0 , left to right. Bit 31 is the sign bit S, the next bits 30 to 23 are the exponent bits E, and the lower 23 bits are the fraction F.

S EEEEEEEE FFFFFFFFFFFFFFFFFFFFFFF

Convert 0.40625 to this format and produce the final results as hexidecimal value.

Remember any error with the bit processing changes the answer!

I know the answer is
3ED00000 = hex
0011 1110 1101 0000 0000 0000 0000 0000 = bin

My question is how do yo get to the answer

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#2 20-08-2011 8:27pm
satchmo

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This is probably the best explanation of IEEE-754 floats that I've found, comes in useful every so often: http://steve.hollasch.net/cgindex/coding/ieeefloat.html

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#3 21-08-2011 10:32am
Tom Dunne

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Post up what you have attempted and I can give you some pointers.

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