Issue No. 01 - January (1974 vol. 23)
E. Kinoshita , Department of Electronics, University of Osaka Prefecture
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.
Cyclic mixed-radix system, exponent part, floating-point arithmetic algorithms, floating-point representation, mantissa, normalized form, number of precision n, symmetric residue number system.
Y. Kojima, H. Kosako, E. Kinoshita, "Floating-Point Arithmetic Algorithms in the Symmetric Residue Number System", IEEE Transactions on Computers, vol. 23, no. , pp. 9-20, January 1974, doi:10.1109/T-C.1974.223772