Ternary Mathematics Principles Truth Tables and Logical Operators: An approach towards 3 D Placement of Logical Elements Extensions of Boolean Algebra (Extended)

Abstract

The Boolean algebra generated by the recursive open sets which are regular the algebra of recursively regular open sets, so that the two attempts to define “the recursive elements of” the completion coincide. The approach presented in this article aims at transition between two systems of counting binary and ternary I propose to use ternary math principle in coding the signal Instead of using duos of numbers 01, the study proposes to use triplets (1,0-1) and make a transition from binary to ternary so that the binary code is converted to ternary and vice versa That same principle can be used for building microcircuits where logical elements are placed in a 3 D space instead of a layer. It is concluded that all Ternary approach in Algebra is a promising method as an alternative to an already developed binary approach Its advantage is in potentially bigger calculating power on condition that the theory is well coordinated with technological innovations.