Three Conjectures about the Number Systems and their Conversion

Yan Hong Zhang

doi:10.4028/www.scientific.net/AMR.760-762.2156

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HomeAdvanced Materials ResearchAdvanced Materials Research Vols. 760-762Three Conjectures about the Number Systems and...

Three Conjectures about the Number Systems and their Conversion

Abstract:

The conversion between Tetrad Notation and other notational systems has attracted peoples 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,R₂respectively_,i is an integer greater than 2 or equals to 2, so if R₁= R₂ⁱ, then some relatively simple relationship of conversion exists between these two number systems.

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Periodical:

Advanced Materials Research (Volumes 760-762)

Pages:

2156-2161

DOI:

https://doi.org/10.4028/www.scientific.net/AMR.760-762.2156

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Online since:

September 2013

Authors:

Yan Hong Zhang

Keywords:

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

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