New Boolean Equation for Orthogonalizing of Disjunctive Normal Form based on the Method of Orthogonalizing Difference-Building

Can Y, Kassim H, Fischer G (2016)


Publication Language: English

Publication Type: Journal article, Original article

Publication year: 2016

Journal

Book Volume: Vol. 32

Pages Range: 197-208

Journal Issue: Issue 2

DOI: 10.1007/s10836-016-5572-6

Abstract

In this paper a new Boolean equation for the orthogonalization of Boolean functions respectively of Ternary-Vector-Lists of disjunctive normal form is presented. It provides the mathematical solution of orthogonalization for the first time. The new equation is based on the new method of orthogonalizing difference-building ⊖. In contrast to other methods the new method has a faster computation time. Another advantage is the smaller number of product terms respectively of Ternary-Vectors in the orthogonalized result in contrast to other methods. Furthermore, the new equation can be used as a part in the calculation procedure of getting suitable test patterns for combinatorial circuits for verifying feasible logical faults.

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How to cite

APA:

Can, Y., Kassim, H., & Fischer, G. (2016). New Boolean Equation for Orthogonalizing of Disjunctive Normal Form based on the Method of Orthogonalizing Difference-Building. Journal of Electronic Testing-Theory and Applications, Vol. 32(Issue 2), 197-208. https://dx.doi.org/10.1007/s10836-016-5572-6

MLA:

Can, Yavuz, Hassen Kassim, and Georg Fischer. "New Boolean Equation for Orthogonalizing of Disjunctive Normal Form based on the Method of Orthogonalizing Difference-Building." Journal of Electronic Testing-Theory and Applications Vol. 32.Issue 2 (2016): 197-208.

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