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One-bit adder design based on Reed-Muller expansions

Guan, Zhicheng; Almaini, A E A

Authors

Zhicheng Guan

A E A Almaini



Abstract

It has been claimed for some time that the Reed-Muller technique can yield a simpler arithmetic circuit if it is employed in the design procedure. In fact, no practical application in this field can be found in the open literature. This paper attempts to demonstrate a practical one-bit adder design that is based on the Reed-Muller expansion. Although the one-bit adder is simple, no method can always guarantee to obtain both a time and area optimal circuit. In this paper, a procedure to design both a time and area optimal one-bit adder in static CMOS circuits is presented. Some issues are also addressed for practical logic circuit design.

Citation

Guan, Z., & Almaini, A. E. A. (1995). One-bit adder design based on Reed-Muller expansions. International Journal of Electronics, 79(5), 519-529. https://doi.org/10.1080/00207219508926289

Journal Article Type Article
Publication Date 1995-11
Deposit Date Jun 1, 2009
Journal International Journal of Electronics
Print ISSN 0020-7217
Electronic ISSN 1362-3060
Publisher Taylor & Francis
Peer Reviewed Peer Reviewed
Volume 79
Issue 5
Pages 519-529
DOI https://doi.org/10.1080/00207219508926289
Keywords Arithmetic circuits; Circuit design; CMOS; Logic circuits; Reed-Muller; One-bit adder; Time optimal; Area optimal;
Public URL http://researchrepository.napier.ac.uk/id/eprint/2623
Publisher URL http://dx.doi.org/10.1080/00207219508926289