Arithmetic version of boolean algebra

In this paper, we discuss that the logical results in Boolean algebra can equally be derived with ordinary algebraic operations. We establish arithmetic versions of the common logical propositions inclusive of Sheffer stroke (Nand connective) and Peirce’s arrow (Nor connective) which are very import...

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Bibliographic Details
Main Authors: Azram, Mohammad, Daoud, Jamal Ibrahim, Elfaki, Faiz Ahmed Mohamed
Format: Article
Language:English
Published: Pushpa Publishing House 2009
Subjects:
Online Access:http://irep.iium.edu.my/7209/1/06-%28147-150%29_04-02-09.pdf
http://irep.iium.edu.my/7209/
http://www.pphmj.com/journals/articles/556.htm
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Institution: Universiti Islam Antarabangsa Malaysia
Language: English
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Summary:In this paper, we discuss that the logical results in Boolean algebra can equally be derived with ordinary algebraic operations. We establish arithmetic versions of the common logical propositions inclusive of Sheffer stroke (Nand connective) and Peirce’s arrow (Nor connective) which are very important to design circuit diagrams. We present the comparison of some basic logical Boolean expressions and their arithmetic versions through the truth tables. Finally, we establish the fundamental logical equivalent proposition via arithmetic versions.