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Author Tsao, Nai-Kuan
Source ACM Digital Library
Content type Text
Publisher Association for Computing Machinery (ACM)
File Format PDF
Language English
Subject Keyword Significant digits ♦ Uniform distribution ♦ Reciprocal distribution ♦ Roundoff errors ♦ Mean value ♦ Variance ♦ Floating-point operations
Abstract Generalized logarithmic law is derived for the distribution of the first t significant digits of a random digital integer. This result is then used to determine the distribution of the roundoff errors in floating-point operations, which is a mixture of uniform and reciprocal distributions.
Description Affiliation: Dept. of Air Force, Wright-Patterson Air Force Base, OH (Tsao, Nai-Kuan)
Age Range 18 to 22 years ♦ above 22 year
Educational Use Research
Education Level UG and PG
Learning Resource Type Article
Publisher Date 2005-08-01
Publisher Place New York
Journal Communications of the ACM (CACM)
Volume Number 17
Issue Number 5
Page Count 3
Starting Page 269
Ending Page 271


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Source: ACM Digital Library