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Semi-logarithmic number systems

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3 Author(s)
Muller, J.-M. ; Lab. LIP-IMAG, Ecole Normale Superieure de Lyon, France ; Scherbyna, A. ; Tisserand, A.

We present a new class of number systems, called Semi-Logarithmic Number Systems, that constitute a family of various compromises between floating-point and logarithmic number systems. This allows trade between the speed of the arithmetic operations and the size of the required tables. We give arithmetic algorithms (addition/subtraction, multiplication, division) for the Semi-Logarithmic Number Systems, and we compare these number systems to the classical floating-point or logarithmic number systems

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Computers, IEEE Transactions on  (Volume:47 ,  Issue: 2 )