Floating-Point Arithmetics

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Floating-Point Arithmetics

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Journal of the ACM (JACM) archive
Volume 7 , Issue 2 (April 1960) table of contents

Pages: 129 - 139

Year of Publication: 1960

ISSN:0004-5411

Author

W. G. Wadey

Remington Rand Univac, Philadelphia, Pennsylvania

Publisher

ACM New York, NY, USA

Bibliometrics

Downloads (6 Weeks): 2, Downloads (12 Months): 26, Citation Count: 4

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abstract references cited by index terms peer to peer

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ABSTRACT

Three types of floating-point arithmetics with error control are discussed and compared with conventional floating-point arithmetic. General multiplication and division shift criteria are derived (for any base) for Metropolis-type arithmetics. The limitations and most suitable range of application for each arithmetic are discussed.

REFERENCES

Note: OCR errors may be found in this Reference List extracted from the full text article. ACM has opted to expose the complete List rather than only correct and linked references.

	1	R. L. Ashenhurst , N. Metropolis, Unnormalized Floating Point Arithmetic, Journal of the ACM (JACM), v.6 n.3, p.415-428, July 1959 [doi>10.1145/320986.320996]
	2	A.E.C. Document NY0-7973, Appendix A.
	3	Embodied in Univac Fleximatic (GP) Routine, .FDS.
	4	J. TOPPING, Errors of Observation and their Treatment, p. 81 (Inst. of Physics, London, 1956).
	5	W. G. Wadey, Two square-root approximations, Communications of the ACM, v.1 n.11, p.13-14, Nov. 1958 [doi>10.1145/368932.368936]

CITED BY 4

	A. A. Grau, On a floating-point number representation for use with algorithmic languages, Communications of the ACM, v.5 n.3, p.160-161, March 1962
	Max Goldstein, Significance arithmetic on a digital computer, Communications of the ACM, v.6 n.3, p.111-117, March 1963
	R. H. Miller, An example in “significant-digit” arithmetic, Communications of the ACM, v.7 n.1, p.21, Jan. 1964
	Bruce A. Chartres, Automatic Controlled Precision Calculations, Journal of the ACM (JACM), v.13 n.3, p.386-403, July 1966