Single precision floating-point format

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1 Replies - 2250 Views - Last Post: 21 April 2010 - 10:09 AM

#1 Guest_jake*


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Single precision floating-point format

Posted 21 April 2010 - 07:27 AM

Hello,
So ive been trying to totally understand floating point formats. I realize theres an sign bit, exponent, and fraction part of any floating point value. So I go on wiki to see exactly how the bits are allocated for single precision and it has
http://upload.wikime...mple.svg/590px- for single precision floating-point format.
I did the binary to decimal myself and get something like 0.25e124 . So how is 0.25e124 = 0.15625. Or I guess a better question would be how is the answer 0.15625 ?
Thank you

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#2 mojo666   User is offline

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Re: Single precision floating-point format

Posted 21 April 2010 - 10:09 AM

the wiki article your picture is from gives the following equation.

(-1)^signbits*2^(exponentbits-127)* 1.significandbits

(-1)^0*2^(124-127)*1.25 = 0.15625
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