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Research Article Open access CC BY 4.0

Ternary Mathematics Principles Truth Tables and Logical Operators 3 D Placement of Logical Elements Extensions of Boolean Algebra

Ruslan Pozinkevych

Asian Journal of Research in Computer Science · pp. 35–38 · Published 29 Dec 2020

10.9734/ajrcos/2020/v6i430166

Abstract

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 I propose 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.

Propositional operators truth table combinatorics associaive/distributive principle truth functional operation.

References (8)

  1. 1 A symbolic analysis of relay and switching circuits [DOI]
  2. 2 ON THE FOUNDATIONS OF MATHEMATICS 1907 [DOI]
  3. 3 The Mathematical Analysis of Logic. [DOI]
  4. 4 The Foundations of Mathematics [DOI]
  5. 5 Principia Mathematica. [DOI]
  6. 6 A symbolic analysis of relay and switching circuits [DOI]
  7. 7 Aristotle's Syllogistic from the Standpoint of Modern Formal Logic. [DOI]
  8. 8 Selected Works of Giuseppe Peano [DOI]

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