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...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Pushpa Publishing House
2009
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| Subjects: | |
| Online Access: | http://irep.iium.edu.my/7209/ http://irep.iium.edu.my/7209/1/06-%28147-150%29_04-02-09.pdf |
| _version_ | 1848776803774103552 |
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| author | Azram, Mohammad Daoud, Jamal Ibrahim Elfaki, Faiz Ahmed Mohamed |
| author_facet | Azram, Mohammad Daoud, Jamal Ibrahim Elfaki, Faiz Ahmed Mohamed |
| author_sort | Azram, Mohammad |
| building | IIUM Repository |
| collection | Online Access |
| description | 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. |
| first_indexed | 2025-11-14T14:35:54Z |
| format | Article |
| id | iium-7209 |
| institution | International Islamic University Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-14T14:35:54Z |
| publishDate | 2009 |
| publisher | Pushpa Publishing House |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | iium-72092011-11-21T14:52:36Z http://irep.iium.edu.my/7209/ Arithmetic version of boolean algebra Azram, Mohammad Daoud, Jamal Ibrahim Elfaki, Faiz Ahmed Mohamed QA Mathematics 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. Pushpa Publishing House 2009 Article PeerReviewed application/pdf en http://irep.iium.edu.my/7209/1/06-%28147-150%29_04-02-09.pdf Azram, Mohammad and Daoud, Jamal Ibrahim and Elfaki, Faiz Ahmed Mohamed (2009) Arithmetic version of boolean algebra. Advances and Applications in Discrete Mathematics, 4 (2). pp. 147-150. ISSN 0974-1658 http://www.pphmj.com/journals/articles/556.htm |
| spellingShingle | QA Mathematics Azram, Mohammad Daoud, Jamal Ibrahim Elfaki, Faiz Ahmed Mohamed Arithmetic version of boolean algebra |
| title | Arithmetic version of boolean algebra |
| title_full | Arithmetic version of boolean algebra |
| title_fullStr | Arithmetic version of boolean algebra |
| title_full_unstemmed | Arithmetic version of boolean algebra |
| title_short | Arithmetic version of boolean algebra |
| title_sort | arithmetic version of boolean algebra |
| topic | QA Mathematics |
| url | http://irep.iium.edu.my/7209/ http://irep.iium.edu.my/7209/ http://irep.iium.edu.my/7209/1/06-%28147-150%29_04-02-09.pdf |