Wang, P, Liu, Y, Yang, M and Almaini, A E A (2005) Five-valued circuit quantitative theory and design of five-valued twisted-ring. In: ASICON 2005: Proceedings of the 6th International Conference on ASIC, 2005. IEEE Operations Center, Piscataway, NJ, pp. 354-357. ISBN 0780392108 & 9780780392106

Abstract/Description

This paper presents a six-valued algebra in order to form the theory of three essential elements for five-valued circuits, which is a mathematical tool for quantitative investigation on five-valued circuits. Based on the theory, the component level circuit structures are deduced firstly from five-valued circuit function by means of [delta] expanded form. Secondly, two circuit structures of dynamic and static positive-edge-triggered five valued D flip-flops are deduced from the same flip-flops characteristic equation. Finally, all five-valued counters are partioned into five types, and then a five-valued resetting twisted-ring counter with simple circuit structure is designed. The above theory and circuits have been verified by computer simulations.

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