Three Conjectures about the Number Systems and their Conversion
Yan Hong Zhang · Advanced materials research · 2013
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 ,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.