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. We propose arithmetic algorithms for the Semi-Logarithmic Number Systems, and we compare these number systems to the classical floating-point or logarithmic number systems. performed using tables for the functions log,(l + 2”) and log,( 1 2”), since: { logz(A + B) = log,(A) + logz(1 + 210z~(B)-‘oz~(A)) logz(A B) = log,(A) + log,(l 210z@)-10z,(A))