Arithmetic 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 are...
| Main Authors: | , , |
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| Format: | Proceeding Paper |
| Language: | English |
| Published: |
2009
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| Subjects: | |
| Online Access: | http://irep.iium.edu.my/6170/1/05234473.pdf |
| _version_ | 1825644751015116800 |
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| author | Azram, Mohammad Daoud, Jamal Ibrahim Mohamed Elfaki, Faiz Ahmed |
| author_facet | Azram, Mohammad Daoud, Jamal Ibrahim Mohamed Elfaki, Faiz Ahmed |
| 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 | 2024-03-05T22:37:25Z |
| format | Proceeding Paper |
| id | oai:generic.eprints.org:6170 |
| institution | International Islamic University Malaysia |
| language | English |
| last_indexed | 2024-03-05T22:37:25Z |
| publishDate | 2009 |
| record_format | dspace |
| spelling | oai:generic.eprints.org:61702011-11-22T01:32:11Z http://irep.iium.edu.my/6170/ Arithmetic version of boolean algebra Azram, Mohammad Daoud, Jamal Ibrahim Mohamed Elfaki, Faiz Ahmed QA Mathematics 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. 2009-09 Proceeding Paper PeerReviewed application/pdf en http://irep.iium.edu.my/6170/1/05234473.pdf Azram, Mohammad and Daoud, Jamal Ibrahim and Mohamed Elfaki, Faiz Ahmed (2009) Arithmetic version of boolean algebra. In: 2nd IEEE International Conference on Computer Science and Information Technology (ICCSIT), 8-11 August, 2009, Beijing, China. http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=5234473 |
| spellingShingle | QA Mathematics Azram, Mohammad Daoud, Jamal Ibrahim Mohamed Elfaki, Faiz Ahmed 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/6170/1/05234473.pdf |
| work_keys_str_mv | AT azrammohammad arithmeticversionofbooleanalgebra AT daoudjamalibrahim arithmeticversionofbooleanalgebra AT mohamedelfakifaizahmed arithmeticversionofbooleanalgebra |