Five-valued circuit quantitative theory and design of five-valued twisted-ring.

Wang, P; Liu, Ying; Yang, Meng; Almaini, A E A

Abstract

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.

• Start Date: Oct 24, 2005
• End Date: Oct 27, 2005
• Publication Date: 2005-10
• Deposit Date: May 8, 2009
• Peer Reviewed: Peer Reviewed
• Volume: 1
• Pages: 354-357
• Book Title: ASICON 2005: Proceedings of the 6th International Conference on ASIC, 2005
• ISBN: 0780392108 & 9780780392106
• DOI: https://doi.org/10.1109/ICASIC.2005.1611323
• Keywords: Circuit theory; Flip-flops; Five-valued circuits; Twisted-ring counter
• Public URL: http://researchrepository.napier.ac.uk/id/eprint/2577
• Publisher URL: http://dx.doi.org/10.1109/ICASIC.2005.1611323