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Floating-Point Arithmetic Algorithms in the Symmetric Residue Number System

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3 Author(s)
Kinoshita, E. ; Department of Electronics, University of Osaka Prefecture ; Kosako, H. ; Kojima, Y.

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.

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Computers, IEEE Transactions on  (Volume:C-23 ,  Issue: 1 )