Title :
Semi-logarithmic number systems
Author :
Muller, Jean-Michel ; Scherbyna, Alexandre ; Tisserand, Arnaud
Author_Institution :
Lab. LIP-IMAG, Ecole Normale Superieure de Lyon, France
fDate :
2/1/1998 12:00:00 AM
Abstract :
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
Keywords :
digital arithmetic; floating point arithmetic; number theory; Semi-Logarithmic Number Systems; addition; arithmetic algorithms; arithmetic operations; division; floating-point; floating-point arithmetic; logarithmic; logarithmic number systems; multiplication; number systems; subtraction; Acceleration; Digital arithmetic; Floating-point arithmetic; Helium; Interpolation; Very large scale integration;
Journal_Title :
Computers, IEEE Transactions on
