Unnormalized Floating Point Arithmetic

Authors:
R. L. Ashenhurst;N. Metropolis
Affiliations:
The University of Chicago, Chicago, Illinois;The University of Chicago, Chicago, Illinois
Venue:
Journal of the ACM (JACM)
Year:
1959

Citing 0
Cited 17

Elimination the normalization problem in digit on-line arithmetic

IEEE Transactions on Computers
Floating-Point Arithmetics

Journal of the ACM (JACM)
Function Evaluation in Unnormalized Arithmetic

Journal of the ACM (JACM)
Number Base Conversion in a Significant Digit Arithmetic

Journal of the ACM (JACM)
Automatic Controlled Precision Calculations

Journal of the ACM (JACM)
A Significance Rule for Multiple-Precision Arithmetic

ACM Transactions on Mathematical Software (TOMS)
FOCUS microcomputer number system

Communications of the ACM
On a divide-and-correct method for variable precision division

Communications of the ACM
Significance arithmetic on a digital computer

Communications of the ACM
On a floating-point number representation for use with algorithmic languages

Communications of the ACM
Numerical analysis I: Function evaluation in unnormalized arithmetic

ACM '62 Proceedings of the 1962 ACM national conference on Digest of technical papers
Decimal Adder with Signed Digit Arithmetic

IEEE Transactions on Computers
Normalized floating-point arithmetic with an index of significance

IRE-AIEE-ACM '59 (Eastern) Papers presented at the December 1-3, 1959, eastern joint IRE-AIEE-ACM computer conference
The Maniac III arithmetic system

AIEE-IRE '62 (Spring) Proceedings of the May 1-3, 1962, spring joint computer conference
Serial arithmetic techniques

AFIPS '65 (Fall, part I) Proceedings of the November 30--December 1, 1965, fall joint computer conference, part I
Binary-compatible signed-digit arithmetic

AFIPS '64 (Fall, part I) Proceedings of the October 27-29, 1964, fall joint computer conference, part I
Dealing with the "itanium effect" (abstract only)

Proceedings of the 19th ACM/SIGDA international symposium on Field programmable gate arrays

Quantified Score

Hi-index	0.07

Visualization

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.