mws_gen_aae_spe_pptfloatingpoint(1)

mws_gen_aae_spe_pptfloatingpoint(1) - Floating Point...

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1/11/2010 http://numericalmethods.eng.usf.edu 1 Floating Point Representation Major: All Engineering Majors Authors: Autar Kaw, Matthew Emmons http://numericalmethods.eng.usf.edu Transforming Numerical Methods Education for STEM Undergraduates
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Floating Point Representation http://numericalmethods.eng.usf.edu
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http://numericalmethods.eng.usf.edu 3 Floating Decimal Point : Scientific Form 2 3 2 10 .5678 2 as written is 78 . 256 10 678 . 3 as written is 003678 . 0 10 5678 . 2 as written is 78 . 256 × × + × +
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http://numericalmethods.eng.usf.edu 4 Example exponent 10 mantissa sign × × The form is or Example: For e m 10 × × σ 2 10 5678 . 2 × 2 5678 . 2 1 = = = e m
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http://numericalmethods.eng.usf.edu 5 Floating Point Format for Binary Numbers ( ) ( ) ( ) [ ] m m m y e 2 2 10 1 mantissa ve - for 1 ve, for 0 number of sign 2 < < = + = × × = σ 1 is not stored as it is always given to be 1. exponent integer = e
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http://numericalmethods.eng.usf.edu 6 Example ( ) ( ) ( ) ( ) ( ) 2 2 5 2 2 10 101 1011 . 1 2 1011011 . 1 11 . 110110 75 . 54 × × = = 9 bit-hypothetical word the first bit is used for the sign of the number,
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This note was uploaded on 06/12/2011 for the course EML 3041 taught by Professor Kaw,a during the Spring '08 term at University of South Florida - Tampa.

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mws_gen_aae_spe_pptfloatingpoint(1) - Floating Point...

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