mws_gen_aae_spe_pptfloatingpoint

mws_gen_aae_spe_pptfloatingpoint - Floating Point...

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10/14/11 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 ( 29 ( 29 ( 29 [ ] 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. e
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mws_gen_aae_spe_pptfloatingpoint - Floating Point...

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