Abstract

Symmetric logical functions are classified in ordinary and threshold function. The first class is defined as being operative for only k of p inputs being active. Threshold functions are operative for at least k of p inputs. Ordinary symmetric and threshold functions are mutually related and one class may generate functions of the other class. Transistor circuits are already extensively used to perform threshold functions in form of resistor-coupled nonlinear amplifiers. Recently a new logical element has been conceived which performs ordinary symmetric logic. To evaluate the merits of these logical elements efficiently a method has been developed which may be adapted to logical design by computer routines. Solution of problems involving up to ten variables is feasible without the aid of computers.

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