pptfloatingpoint_IEE754format

pptfloatingpoint_IEE754format - IEEE-754 Floating Point...

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5/23/2010 http://numericalmethods.eng.usf.edu 1 IEEE 754 Standards for Single Precision Representation http://numericalmethods.eng.usf.edu IEEE-754 Floating Point Standard • Standardizes representation of floating point numbers on different computers in single and double precision. • Standardizes representation of floating point operations on different computers. One Great Reference What every computer scientist (and even if you are not) should know about floating point arithmetic! http://www.validlab.com/goldberg/paper.pdf IEEE-754 Format Single Precision 32 bits for single precision 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 Sign (s) Biased Exponent (e’) Mantissa (m) 127 ' 2 2 1 ) 1 ( Value . e s m Example#1 127 ' 2 1 1 Value e s m 1 1 0 1 0 0 0 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 Sign (s) Biased Exponent (e’) Mantissa (m) 5 2 . 127 ) 10100010 ( 2 1 2 2 10100000 . 1 1 127 162 2 625 . 1 1
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