Nikolai Nepejvoda, Ivan Grigorevsky, Evgeny Lilitko, “New representation of real numbers”, Program Systems: Theory and Applications, 2014, Volume 5, Issue 4,Pages <nobr>105

This article is cited in 5 papers

Mathematical Foundations of Programming

New representation of real numbers

Nikolai Nepejvoda, Ivan Grigorevsky, Evgeny Lilitko

Program Systems Institute of RAS

Abstract: Overlaying number systems for real numbers are introduced and studied. It is shown that addition, subtraction and normalization can be done for the number system with radix $3$ and overlay factor $0.5$ in two tacts independently of number of digits. (In Russian).

Key words and phrases: real numbers, number systems, constructive mathematics, data structures.

UDC: 004.222.3+517.13:510.25

Received: 14.11.2014
Accepted: 15.12.2014