Threshold Synthesis of Ternary Digital Systems

This paper presents a synthesis method of ternary digital systems by means of a threshold algebra. The method is based on the fact that the K operations of any ternary function can be expressed as threshold operations on a set of functions called midterms. Such midterms can be easily generated from the outputs of the ternary multivibrators described by the authors in a previous paper [4]. The Quine method is extended to the minimization of ternary threshold normal forms. RTL circuits implementing the operations are described, and the threshold design of a fast carry propagation ternary adder is outlined in order to illustrate the method.