Unnormalized Floating Point Arithmetic

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Unnormalized Floating Point Arithmetic

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Journal of the ACM (JACM) archive
Volume 6 , Issue 3 (July 1959) table of contents

Pages: 415 - 428

Year of Publication: 1959

ISSN:0004-5411

Authors

R. L. Ashenhurst	The University of Chicago, Chicago, Illinois
N. Metropolis	The University of Chicago, Chicago, Illinois

Publisher

ACM New York, NY, USA

Bibliometrics

Downloads (6 Weeks): 4, Downloads (12 Months): 36, Citation Count: 14

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ABSTRACT

Algorithms for floating point computer arithmetic are described, in which fractional parts are not subject to the usual normalization convention. These algorithms give results in a form which furnishes some indication of their degree of precision. An analysis of one-stage error propagation is developed for each operation; a suggested statistical model for long-run error propagation is also set forth.

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.

N. M~TROPOLIS AND R. L. ASHENIIURST, Significant digit computer arithmetic, IRE Transactions on Electronic Computers, Vol. EC-7, No. 4 (Dec. 1958), 265-267.

CITED BY 14

	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
	R. L. Ashenhurst, Function Evaluation in Unnormalized Arithmetic, Journal of the ACM (JACM), v.11 n.2, p.168-187, April 1964
	R. L. Ashenhurst, Numerical analysis I: Function evaluation in unnormalized arithmetic, Proceedings of the 1962 ACM national conference on Digest of technical papers, p.63, September 01-01, 1962
	Max Goldstein, Significance arithmetic on a digital computer, Communications of the ACM, v.6 n.3, p.111-117, March 1963
	E. V. Krishnamurthy, On a divide-and-correct method for variable precision division, Communications of the ACM, v.8 n.3, p.179-181, March 1965
	Albert D. Edgar , Samuel C. Lee, FOCUS microcomputer number system, Communications of the ACM, v.22 n.3, p.166-177, March 1979
	Herbert Kanner, Number Base Conversion in a Significant Digit Arithmetic, Journal of the ACM (JACM), v.12 n.2, p.242-246, April 1965
	W. G. Wadey, Floating-Point Arithmetics, Journal of the ACM (JACM), v.7 n.2, p.129-139, April 1960
	Bruce A. Chartres, Automatic Controlled Precision Calculations, Journal of the ACM (JACM), v.13 n.3, p.386-403, July 1966
	Christopher B. Jones, A Significance Rule for Multiple-Precision Arithmetic, ACM Transactions on Mathematical Software (TOMS), v.10 n.1, p.97-107, March 1984
	Herbert L. Gray , Charles Harrison, Jr., Normalized floating-point arithmetic with an index of significance, Papers presented at the December 1-3, 1959, eastern joint IRE-AIEE-ACM computer conference, p.244-248, December 01-03, 1959, Boston, Massachusetts
	Algirdas Avizienis, Binary-compatible signed-digit arithmetic, Proceedings of the October 27-29, 1964, fall joint computer conference, part I, October 27-29, 1964, San Francisco, California
	Robert L. Ashenhurst, The Maniac III arithmetic system, Proceedings of the May 1-3, 1962, spring joint computer conference, May 01-03, 1962, San Francisco, California
	M. Lehman , D. Senzig , J. Lee, Serial arithmetic techniques, Proceedings of the November 30--December 1, 1965, fall joint computer conference, part I, November 30-December 01, 1965, Las Vegas, Nevada