Design of quaternary sequential circuits using a newly proposed quaternary algebra

Abstract

Using a novel quaternary algebra, several sequential circuits are designed. The quaternary logic scheme used here is obtained by extending Boolean algebra into quaternary domain. A set of operators capable of handling both coupled-binary and ordinary inputs are used to design the sequential circuit elements such as latches, flip-flops, registers and counters. Sufficient conditions for stable operation of the sequential blocks are derived mathematically and demonstrated graphically using simulated timing diagrams.