Redundant logarithmic number systems

Abstract

A new number system that offers advantages over conventional floating-point and sign/logarithm number systems is described. Called redundant logarithmic arithmetic, it relies, like conventional logarithmic arithmetic, on table lookups to make the arithmetic unit simpler than an equivalent floating-point unit. The cost of 32-b subtraction in a redundant logarithmic number system is lower than that of previously published logarithmic subtraction methods. Another advantage of a redundant logarithmic number system is that a single arithmetic unit can use the same hardware to add, subtract, or multiply in similar times.<>