Semi-Logarithmic Number Systems

—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.

• Type: Conference
• Year: 1995
• Where: ARITH
• Authors: Jean-Michel Muller, Arnaud Tisserand, Alexandre Scherbyna
• Keywords: Applied Computing, ARITH 1995, Logarithmic Number Systems, Number Systems, Semi-Logarithmic Number Systems