Floating-Point Arithmetic Algorithms in the Symmetric Residue Number System

1 January 1974

journal article
Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Transactions on Computers

Vol. C-23 (1) , 9-20
https://doi.org/10.1109/T-C.1974.223772

Abstract

The residue number system is an integer number system and is inconvenient to represent numbers with fractional parts. In the symmetric residue system, a new representation of floating-point numbers and arithmetic algorithms for its addition, subtraction, multiplication, and division are proposed. A floating-point number is expressed as an integer multiplied by a product of the moduli. The proposed system assumes existence of necessary conversion procedures before and after the computation.

Keywords

REPRESENTATION
CONVERSION
FLOATING POINT
SYMMETRIC
SUBTRACTION
MODULI
ARITHMETIC ALGORITHMS
NUMBER SYSTEM

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