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<p><b>Abstract</b>—We present a new class of number systems, called <it>Semi-Logarithmic Number Systems</it>, 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.</p>
Logarithmic number systems, floating-point arithmetic.

J. Muller, A. Scherbyna and A. Tisserand, "Semi-Logarithmic Number Systems," in IEEE Transactions on Computers, vol. 47, no. , pp. 145-151, 1998.
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