—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 s...
This paper presents a novel number system based on signed continuous valued digits. Arithmetic operations in this number system are performed using simple analog circuitry, in con...
—This paper presents an approach to implement a high-performance 8-tap digital FIR (Finite Impulse Response) filter using the Logarithmic Number System. In the past, FIR filter...
Let Fq be a finite field with q elements and p ∈ Fq[X, Y ]. In this paper we study properties of additive functions with respect to number systems which are defined in the rin...
Abstract. We show how to represent an interval of real numbers in an abstract numeration system built on a language that is not necessarily regular. As an application, we consider ...