Eigenvalues in Binary and Ternary Number Systems

One of the biggest issues in discrete mathematical research is to set up the mapping system that would clearly define the transition between various counting groups e.g decimal, ternary, nonary etc. This is only possible if we set a one-to-one correspondence between members of a set In his previous work "Optimization Techniques in Ternary Calculus" the author just tried to do that by relating decimal numbers to their binary correspondence however a universal formula is much more desirable and current investigation will attempt to find this very universal approach