Transcription of IEEE Standard 754 for Binary Floating-Point Arithmetic
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IEEE Standard 754 for Binary Floating-Point Arithmetic
Work in Progress: Lecture Notes on the Status of ieee 754 October 1, 1997 3:36 am Lecture Notes on the Status of ieee Standard 754 for Binary Floating-Point Arithmetic Prof. W. Kahan Elect. Eng. & Computer Science University of California Berkeley CA 94720-1776. Introduction: Twenty years ago anarchy threatened Floating-Point Arithmetic . Over a dozen commercially significant arithmetics boasted diverse wordsizes, precisions, rounding procedures and over/underflow behaviors, and more were in the works.
IEEE 754 specifies three types or Formats of floating-point numbers: Single ( Fortran's REAL*4, C's float ), ( Obligatory ), Double ( Fortran's REAL*8, C's double ), ( Ubiquitous ), and Double-Extended ( Fortran REAL*10+, C's long double ), ( Optional ). ( A fourth Quadruple-Precision format is not specified by IEEE 754 but has become a de ...
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