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Floating-Point Arithmetic Algorithms in the Symmetric Residue Number System
January 1974 (vol. 23 no. 1)
pp. 9-20
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.
Index Terms:
Cyclic mixed-radix system, exponent part, floating-point arithmetic algorithms, floating-point representation, mantissa, normalized form, number of precision n, symmetric residue number system.
E. Kinoshita, H. Kosako, Y. Kojima, "Floating-Point Arithmetic Algorithms in the Symmetric Residue Number System," IEEE Transactions on Computers, vol. 23, no. 1, pp. 9-20, Jan. 1974, doi:10.1109/T-C.1974.223772
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