Numeral Systems with Irrational Bases for Mission-Critical Applications. The Basic Concepts and Scientific Results

Abstract

This speech is of an overview nature. Its main goal is to substantiate the basic concepts and scientific results of a new direction in the theory of coding-the numeral system with irrational bases, and their application in mission-critical systems. This scientific direction began to develop in the Taganrog Radiotechnical Institute after the defense of the doctoral dissertation of the author of this speech (1972), and then successfully continued to develop in the Vinnytsya Polytechnic Institute at the Department of Computer Technology. Nowadays this scientific direction is developing in Canada (computer firm FibTech (Fibonacci Technology)) and at Sumy University.