Abstract

The purpose of this paper is to present a new and faster algorithmic procedure for generating the n bi Gray codes. Thereby, through this paper we have presented the derivation, design and implementation of a newly developed algorithm for the generation of an n-bit binary reflected Gray code sequences. The developed algorithm is stemmed from the fact of generating and properly placing the min-terms from the universal set of all the possible min-terms [m0 m1 m2 …. mN] of Boolean function of n variables, where, 0 < N < 2n-1. The resulting algorithm is in concise form and trivial to implement. Furthermore, the developed algorithm is equipped with added attributes of optimizing of time and space while executed.

Keywords

Publication details

DOI
10.24200/tjer.vol6iss2pp12-19
Journal
The Journal of Engineering Research, 6(2), 12
Publisher
Sultan Qaboos University
Open access
Gold open access
License
CC BY 4.0

Cite this article

APA 7

Ahmad, A., & Bait‐Suwailam, M. M. (2009). A Less Complex Algorithmic Procedure for Computing Gray Codes. The Journal of Engineering Research, 6(2), 12. https://doi.org/10.24200/tjer.vol6iss2pp12-19

MLA 9

Ahmad, Afaq, and Mohammed M. Bait‐Suwailam. "A Less Complex Algorithmic Procedure for Computing Gray Codes." The Journal of Engineering Research, vol. 6, no. 2, 2009, pp. 12. https://doi.org/10.24200/tjer.vol6iss2pp12-19.

Chicago (author–date)

Ahmad, Afaq, and Mohammed M. Bait‐Suwailam. 2009. "A Less Complex Algorithmic Procedure for Computing Gray Codes." The Journal of Engineering Research 6 (2): 12. https://doi.org/10.24200/tjer.vol6iss2pp12-19.

Harvard

Ahmad, A. and Bait‐Suwailam, M. M. (2009) 'A Less Complex Algorithmic Procedure for Computing Gray Codes', The Journal of Engineering Research, 6(2), pp. 12. doi:10.24200/tjer.vol6iss2pp12-19.

Vancouver

Ahmad A, Bait‐Suwailam MM. A Less Complex Algorithmic Procedure for Computing Gray Codes. The Journal of Engineering Research. 2009;6(2):12. doi:10.24200/tjer.vol6iss2pp12-19

IEEE

A. Ahmad, and M. M. Bait‐Suwailam, "A Less Complex Algorithmic Procedure for Computing Gray Codes," The Journal of Engineering Research, vol. 6, no. 2, pp. 12, 2009, doi: 10.24200/tjer.vol6iss2pp12-19.