Transcription of MIPS Floating Point Instructions
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MIPS Floating Point Instructions
11/9/2011. MIPS Floating Point Instructions CS/COE 447. Why Floating Point ? Sometimes need very small, or very large numbers? Non-integers? or . Not always precise. Not all numbers can be represented Repeating digits , in base 10: 1/3 = Lack of precision , may not fit in the storage space allocated for the Floating Point number Single precision: 32-bits used to represent a number. float in C. Double precision: 64-bits used to represent a number. double in C. IEEE 754 standard 1. 11/9/2011. Single Precision Floating Point Format sign exponent fraction 0 00000000 0000000000000000 0000000.
11/9/2011 2 Single Precision Floating Point Format 0 •Sign: whether # is positive or negative •Exponent: makes value large or small •Fraction: the actual “number” •Value: -1sign∙ 1.fraction∙2(exponent-127) Special values exist for ±∞, NaN (not a number) There are some other exceptions/issues
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