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An Algebraic Method for Designing Multivalued Logic Circuits using Principally Binary Components
November 1975 (vol. 24 no. 11)
pp. 1101-1104
| ASCII Text | x | ||
| J.E. Birk, D.E. Farmer, "An Algebraic Method for Designing Multivalued Logic Circuits using Principally Binary Components," IEEE Transactions on Computers, vol. 24, no. 11, pp. 1101-1104, November, 1975. | |||
| BibTex | x | ||
| @article{ 10.1109/T-C.1975.224138, author = {J.E. Birk and D.E. Farmer}, title = {An Algebraic Method for Designing Multivalued Logic Circuits using Principally Binary Components}, journal ={IEEE Transactions on Computers}, volume = {24}, number = {11}, issn = {0018-9340}, year = {1975}, pages = {1101-1104}, doi = {http://doi.ieeecomputersociety.org/10.1109/T-C.1975.224138}, publisher = {IEEE Computer Society}, address = {Los Alamitos, CA, USA}, } | |||
| RefWorks Procite/RefMan/Endnote | x | ||
| TY - JOUR JO - IEEE Transactions on Computers TI - An Algebraic Method for Designing Multivalued Logic Circuits using Principally Binary Components IS - 11 SN - 0018-9340 SP1101 EP1104 EPD - 1101-1104 A1 - J.E. Birk, A1 - D.E. Farmer, PY - 1975 KW - Circuit realization of multivalued functions KW - combinational circuits KW - compound literals KW - consensus KW - literal functions KW - multivalued algebra KW - multivalued logic KW - nonbinary algebra KW - nonbinary logic. VL - 24 JA - IEEE Transactions on Computers ER - | |||
Algebraic reduction procedures for multivalued logic functions based upon a principally binary circuit realization are presented. The procedures given are also applicable to literal gate realizations employing compound literals. The prime implicant generation and covering problems are treated in detail. It is shown that the selected cover must be iteratively examined for possible reduction at each decision point of the covering process. This reduction is achieved by the elimination of unnecessary nonadjacencies.
Index Terms:
Circuit realization of multivalued functions, combinational circuits, compound literals, consensus, literal functions, multivalued algebra, multivalued logic, nonbinary algebra, nonbinary logic.
Citation:
J.E. Birk, D.E. Farmer, "An Algebraic Method for Designing Multivalued Logic Circuits using Principally Binary Components," IEEE Transactions on Computers, vol. 24, no. 11, pp. 1101-1104, Nov. 1975, doi:10.1109/T-C.1975.224138
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