Matrix algebra of sequential logic: Matrix logic III

This paper is the third in a series on matrix algebra applied to logical design. Notation, terminology and definitions are uniform throughout the series. The content of the previous parts, ??Matrix Analysis of Logical Nets??1 and ??Matrix Synthesis of Highspeed Logic,??2 is prerequisite. The object of this paper is to derive matrix operations similar to function matrices for sequential circuits describing the behavior in the time domain, and to introduce appropriate algebraic operations. The approach, believed to be novel, permits the computation of the output sequence for a given input sequence applied to a sequential circuit and in its inversion, the computation of a function matrix required to produce a certain output sequence from a given input sequence.