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The Mathematics of the Pentium Division Bug

Name: The Mathematics of the Pentium Division Bug
Creator: Alan Edelman
Keywords: 0202 electrical engineering, electronic engineering, information engineering, 02 engineering and technology, Mathematical problems of computer architecture

The mathematics of the Pentium division bug

descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 1997Publisher:Society for Industrial & Applied Mathematics (SIAM)Journal:SIAM Review, volume 39, pages 54-67 (issn: 0036-1445, eissn: 1095-7200,

Authors: Alan Edelman;

doi: 10.1137/s0036144595293959

The Mathematics of the Pentium Division Bug

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Abstract

Summary: Despite all of the publicity surrounding the Pentium bug of 1994, the mathematical details of the bug are poorly understood. We discuss these details and supply a new proof of the Coe-Tang result that the at-risk divisors have six consecutive ones in positions 5 through 10. Also, we prove that the worst-case absolute error for arguments in [1,2) is on the order of 1e--5.

Keywords

Mathematical problems of computer architecture

Impact byBIP!

	citations This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	22
	popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.	Top 10%
	influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	Top 10%
	impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.	Average

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Top 10%

Average

Fields of Science

engineering and technology

electrical engineering, electronic engineering, information engineering

Fields of Science

engineering and technology

electrical engineering, electronic engineering, information engineering

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