Title :
Orthogonal Expansion of Many-Valued Logical Functions and its Application to their Realization with a Single-Threshold Element
Author :
Kitahashi, Tadahiro ; Tanaka, Kohkichi
Author_Institution :
Department of Information Science and Computer Technology, Faculty of Engineering Science, Osaka University, Toyonaka, Japan.
Abstract :
The orthogonal expansion of many-valued logical functions is described and some approximate forms derived from it are discussed. A method of logical design of many-valued functions, especially threshold functions, using a single-threshold element is proposed based on the approximate forms.
Keywords :
Automata; Boolean algebra; Design methodology; Equations; Graph theory; Logic design; Matrices; Network synthesis; Relays; Switching circuits; Logical design; many-valued function; orthogonal expansion; threshold function;
Journal_Title :
Computers, IEEE Transactions on
DOI :
10.1109/TC.1972.5008930
