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Tsao, NK (1974)

On the Distributions of Significant Digits and Roundoff Errors

Communications of the ACM 17(5), 269-271.

ISSN/ISBN: 0001-0782 DOI: 10.1145/360980.360998

Abstract: A 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

@article{, title={On the distributions of significant digits and roundoff errors}, author={Tsao, Nai-Kuan}, journal={Communications of the ACM}, volume={17}, number={5}, pages={269--271}, year={1974}, publisher={ACM}, doi={10.1145/360980.360998}, }

Reference Type: Journal Article

Subject Area(s): Analysis, Numerical Analysis