DocumentCode :
1563822
Title :
A Survey of the Graphic Alternate Method for Boolean Functions Simplification
Author :
Romero-Aguirre, Eduardo ; Murrieta-Lee, Juan Carlos
Author_Institution :
Electr. Eng. Dept., Inst. Tecnologico de Sonora, Mexico
fYear :
2005
Firstpage :
328
Lastpage :
334
Abstract :
One of the most important steps on traditional difital cicuit design is the reduction of the Boolean expression that describes the particular circuit design. An important tool to achieve the above is the Karnaugh-Vieth maps method. This method has been used for the electronic engineering students. It gives a simple graphic layout that leads to a drastic reduction (although not exhaustive) for the final expression of moderate designs. One of the most important drawbacks of this method appears when there are more than 5 Boolean design variables. Here, the designed map becomes complex and susceptible to design errors. the present paper describes two simple and powerful methods for Boolean functions simplification 5 or more variables the variable entered maps (VEM) and the mimiterms ring map of McCalla (RMM). A comparison between two mapping methods is also presented. Finally, the importance of use VEM and RMM in the Electronics Engineering programs as a tool for a previous step for learning, before ranking or teaching advanced courses, where complex systems can be simplified.
Keywords :
Boolean functions; circuit CAD; digital circuits; electronic engineering education; Boolean function simplification; Karnaugh-Vieth maps; RMM; VEM; digital circuit design; electronic engineering students; graphic alternate method; miniterms ring map; variable entered maps; Application software; Boolean functions; Circuit synthesis; Computer errors; Computer graphics; Design engineering; Education; Input variables; Logic; Manuals; Subminiterms; logic adjacency; miniterms rings; prime implicant; variable-entered;
fLanguage :
English
Publisher :
ieee
Conference_Titel :
Electronics, Communications and Computers, 2005. CONIELECOMP 2005. Proceedings. 15th International Conference on
Print_ISBN :
0-7695-2283-1
Type :
conf
DOI :
10.1109/CONIEL.2005.12
Filename :
1488582
Link To Document :
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