J Cheng
Expansion of logical function in the OR-coincidence system and the transform between it and maxterm expansion.
Cheng, J; Chen, X; Faraj, Khalid; Almaini, A E A
Authors
X Chen
Khalid Faraj
A E A Almaini
Abstract
Based on the features of coincidence operation, a canonical OR coincidence (COC) expansion of logical functions in the OR-coincidence algebraic system is proposed, and its mapping expression (dj-map) is given. Then two new operations are introduced and the matrix form of COC expansion is discussed. The paper also introduces the mapping transform between COC expansion and maxterm expansion.
Citation
Cheng, J., Chen, X., Faraj, K., & Almaini, A. E. A. (2003). Expansion of logical function in the OR-coincidence system and the transform between it and maxterm expansion. IEE proceedings. Computers and digital techniques, 150, 397-402. https://doi.org/10.1049/ip-cdt%3A20030969
| Journal Article Type | Article |
|---|---|
| Publication Date | 2003-11 |
| Deposit Date | May 8, 2009 |
| Print ISSN | 1350-2387 |
| Publisher | Institution of Engineering and Technology (IET) |
| Peer Reviewed | Peer Reviewed |
| Volume | 150 |
| Pages | 397-402 |
| DOI | https://doi.org/10.1049/ip-cdt%3A20030969 |
| Keywords | Computer logic; Algorithms; Algebra; Canonical OR-coincidence; Mapping transform; Maxterm expansion; |
| Public URL | http://researchrepository.napier.ac.uk/id/eprint/2572 |
| Publisher URL | http://dx.doi.org/10.1049/ip-cdt:20030969 |