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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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Pushpa Publishing House
2009
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| 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 |
| 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. |
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