Three Conjectures about the Number Systems and Their Conversion

DOI

10.2991/iccsee.2013.795How to use a DOI?

Keywords

System, Tetrad Notation, Addition Conjecture, Multiplication Conjecture, Simple Conversion Conjecture

Abstract

The conversion between Tetrad Notation and other notational systems has attracted people’s attention; addition conjecture: if the maximum digit of base-N notation is (N-1), then N-1 + N-1 is a binary digit, whose most significant digit is 1 and least significant digit is (N-2); multiplication conjecture: if the maximum digit of base-N notation is (N-1), then N-1 * N-1 is a binary digit, whose most significant digit is (N-2) and least significant digit is 1; simple conversion conjecture: given, the radix of two sorts of number system N1,N2 are R1 ,R2 respectively, i is an integer greater than 2 or equals to 2, so if R1 = R2 i , then some relatively simple relationship of conversion exists between these two number systems.

Copyright

© 2013, the Authors. Published by Atlantis Press.

Open Access

This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

Download article (PDF)

TY  - CONF
AU  - Yanhong Zhang
PY  - 2013/03
DA  - 2013/03
TI  - Three Conjectures about the Number Systems and Their Conversion
BT  - Proceedings of the 2nd International Conference on Computer Science and Electronics Engineering (ICCSEE 2013)
PB  - Atlantis Press
SP  - 2926
EP  - 2929
SN  - 1951-6851
UR  - https://doi.org/10.2991/iccsee.2013.795
DO  - 10.2991/iccsee.2013.795
ID  - Zhang2013/03
ER  -