An arithmetic operation P system based on symmetric ternary system

Abstract

Nowadays, electronic computers use a “binary” numbering system, as opposed to “ternary” logic, which is closer to the way the human brain thinks. In this paper, the symmetric ternary system is applied to membrane computing for the first time. By combining the symmetric ternary system with membrane computing, this paper provides a more suitable arithmetic operation method for bio-computers, which breaks through the limitations of the traditional binary system in complex operations, and has a great potential for application in artificial intelligence and automatic learning in particular. The P System we designed include: Π+ for symmetric ternary addition, Π* for symmetric ternary multiplication, and Π/ for symmetric ternary division. The operation process of each P System was explained through examples, and their feasibility and effectiveness were verified through simulation software, UPSimulator. The system we designed can be further applied to symmetric ternary applications.