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Article

Boolean Functions Simplification Algorithm of O(n) Complexity

by
Şirzat Kahramanli
1,* and
Fatih Başçiftçi
2,*
1
Selcuk University, Department of Computer Engineering
2
Selcuk University, Department of Electronic and Computer Systems Education
*
Authors to whom correspondence should be addressed.
Math. Comput. Appl. 2003, 8(3), 271-278; https://doi.org/10.3390/mca8030271
Published: 1 December 2003

Abstract

The minimization of Boolean functions allows designers to make use of fewer components, thus reducing the cost of particular system. All procedures for reducing either two-level or multilevel Boolean networks into prime and irredundant form have O(2n) complexity. Prime Implicants identification step can be computational impractical as n increases. Thus it is possible to get method in order to find the minimal set of Prime Implicants of O(n) complexity instead of O(2n).
Keywords: Boolean function, simplification; minimization, Boolean expression; prime implicant; cube algebra; covering algorithm; simplification complexity; cube operations Boolean function, simplification; minimization, Boolean expression; prime implicant; cube algebra; covering algorithm; simplification complexity; cube operations

Share and Cite

MDPI and ACS Style

Kahramanli, Ş.; Başçiftçi, F. Boolean Functions Simplification Algorithm of O(n) Complexity. Math. Comput. Appl. 2003, 8, 271-278. https://doi.org/10.3390/mca8030271

AMA Style

Kahramanli Ş, Başçiftçi F. Boolean Functions Simplification Algorithm of O(n) Complexity. Mathematical and Computational Applications. 2003; 8(3):271-278. https://doi.org/10.3390/mca8030271

Chicago/Turabian Style

Kahramanli, Şirzat, and Fatih Başçiftçi. 2003. "Boolean Functions Simplification Algorithm of O(n) Complexity" Mathematical and Computational Applications 8, no. 3: 271-278. https://doi.org/10.3390/mca8030271

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