Arithmatic version of boolean algebra
In this article we will discuss that the logical results in Boolean algebra can equally be derived with ordinary algebraic operations. We will establish arithmetic versions of the common logical propositions inclusive of Sheffer stroke (Nand connective) and Peirce's arrow (Nor connective) which...
| Main Authors: | , , |
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| Format: | Proceeding Paper |
| Language: | English |
| Published: |
IEEE
2009
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| Subjects: | |
| Online Access: | http://irep.iium.edu.my/14653/1/14653_Arithmatic%20version%20of%20boolean%20algebra.pdf |
| _version_ | 1796876179941097472 |
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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 |
| collection | IIUM |
| description | In this article we will discuss that the logical results in Boolean algebra can equally be derived with ordinary algebraic operations. We will 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 will present the comparison of some basic logical Boolean expressions and their arithmetic version through the truth tables. Finally we will establish the fundamental logical equivalent propositions via arithmetic versions. |
| first_indexed | 2024-03-05T22:48:49Z |
| format | Proceeding Paper |
| id | oai:generic.eprints.org:14653 |
| institution | International Islamic University Malaysia |
| language | English |
| last_indexed | 2024-03-05T22:48:49Z |
| publishDate | 2009 |
| publisher | IEEE |
| record_format | dspace |
| spelling | oai:generic.eprints.org:146532018-02-05T03:25:49Z http://irep.iium.edu.my/14653/ Arithmatic version of boolean algebra Azram, Mohammad Daoud, Jamal Ibrahim Elfaki, Faiz Ahmed Mohamed TA Engineering (General). Civil engineering (General) In this article we will discuss that the logical results in Boolean algebra can equally be derived with ordinary algebraic operations. We will 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 will present the comparison of some basic logical Boolean expressions and their arithmetic version through the truth tables. Finally we will establish the fundamental logical equivalent propositions via arithmetic versions. IEEE 2009-09-11 Proceeding Paper PeerReviewed application/pdf en http://irep.iium.edu.my/14653/1/14653_Arithmatic%20version%20of%20boolean%20algebra.pdf Azram, Mohammad and Daoud, Jamal Ibrahim and Elfaki, Faiz Ahmed Mohamed (2009) Arithmatic version of boolean algebra. In: International Conference on Education, Information Technology Applications (EITA), 8th-11th August 2009, Beijing, China. http://ieeexplore.ieee.org/document/5234473/?reload=true 10.1109/ICCSIT.2009.5234473 |
| spellingShingle | TA Engineering (General). Civil engineering (General) Azram, Mohammad Daoud, Jamal Ibrahim Elfaki, Faiz Ahmed Mohamed Arithmatic version of boolean algebra |
| title | Arithmatic version of boolean algebra |
| title_full | Arithmatic version of boolean algebra |
| title_fullStr | Arithmatic version of boolean algebra |
| title_full_unstemmed | Arithmatic version of boolean algebra |
| title_short | Arithmatic version of boolean algebra |
| title_sort | arithmatic version of boolean algebra |
| topic | TA Engineering (General). Civil engineering (General) |
| url | http://irep.iium.edu.my/14653/1/14653_Arithmatic%20version%20of%20boolean%20algebra.pdf |
| work_keys_str_mv | AT azrammohammad arithmaticversionofbooleanalgebra AT daoudjamalibrahim arithmaticversionofbooleanalgebra AT elfakifaizahmedmohamed arithmaticversionofbooleanalgebra |