Title :
Floating-Point Arithmetic Algorithms in the Symmetric Residue Number System
Author :
Kinoshita, Eisuke ; Kosako, Hideo ; Kojima, Yoshiaki
Author_Institution :
Department of Electronics, University of Osaka Prefecture
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 :
Cyclic mixed-radix system, exponent part, floating-point arithmetic algorithms, floating-point representation, mantissa, normalized form, number of precision n, symmetric residue number system.; Floating-point arithmetic; Cyclic mixed-radix system, exponent part, floating-point arithmetic algorithms, floating-point representation, mantissa, normalized form, number of precision n, symmetric residue number system.;
Journal_Title :
Computers, IEEE Transactions on
DOI :
10.1109/T-C.1974.223772
