RUS  ENG
Full version
JOURNALS // Program Systems: Theory and Applications // Archive

Program Systems: Theory and Applications, 2017 Volume 8, Issue 4, Pages 101–115 (Mi ps285)

This article is cited in 1 paper

Mathematical Foundations of Programming

Additive representations of numbers: some remarks

N. N. Nepejvoda

Ailamazyan Program Systems Institute of Russian Academy of Sciences

Abstract: Fibonacci system is the best known example of additive systems. Here considered general additive systems/ Some criteria ate stated of possibility to represent natural, integer and real numbers/ Computational properties of some arithmetical operations are estimated. Paper contains also some problems. (In Russian).

Key words and phrases: number representation, additive systems, Fibonacci system, finite automata.

UDC: 511.11+004.222.2+511.12

Received: 11.12.2017
Accepted: 25.12.2017

DOI: 10.25209/2079-3316-2017-8-4-101-115



© Steklov Math. Inst. of RAS, 2024