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IEEE 754-1985
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==Extending the real numbers== The IEEE standard employs (and extends) the [[affinely extended real number system]], with separate positive and negative infinities. During drafting, there was a proposal for the standard to incorporate the [[projectively extended real number system]], with a single unsigned infinity, by providing programmers with a mode selection option. In the interest of reducing the complexity of the final standard, the projective mode was dropped, however. The [[Intel 8087]] and [[Intel 80287]] floating point co-processors both support this projective mode.<ref>{{cite journal|journal=ACM Transactions on Programming Languages and Systems|volume=18|issue=2|date=March 1996|format=PDF|url=http://www.jhauser.us/publications/1996_Hauser_FloatingPointExceptions.html|author=John R. Hauser|title=Handling Floating-Point Exceptions in Numeric Programs|doi=10.1145/227699.227701|pages=139β174|s2cid=9820157|doi-access=free}}</ref><ref>{{cite journal|title=IEEE Task P754: A proposed standard for binary floating-point arithmetic|date=March 1981|journal=IEEE Computer|volume=14|issue=3|pages=51β62|author=David Stevenson|doi=10.1109/C-M.1981.220377|s2cid=15523399 }}</ref><ref>{{cite journal|author= William Kahan and John Palmer|year=1979|title=On a proposed floating-point standard|journal=SIGNUM Newsletter|volume=14|issue=Special|pages=13β21|doi= 10.1145/1057520.1057522|s2cid=16981715}}</ref>
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