Arithmetic version of boolean algebra

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: Azram, Mohammad, Daoud, Jamal Ibrahim, Elfaki, Faiz Ahmed Mohamed
Format: Article
Language:English
Published: Pushpa Publishing House 2009
Subjects:
QA Mathematics
Online Access: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
id iium-7209
recordtype eprints
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
repository_type Digital Repository
institution_category Local University
institution International Islamic University Malaysia
building IIUM Repository
collection Online Access
language English
topic QA Mathematics
spellingShingle QA Mathematics
Azram, Mohammad
Daoud, Jamal Ibrahim
Elfaki, Faiz Ahmed Mohamed
Arithmetic version of boolean algebra
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.
format Article
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
title Arithmetic version of boolean algebra
title_short 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_sort arithmetic version of boolean algebra
publisher Pushpa Publishing House
publishDate 2009
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
first_indexed 2023-09-18T20:16:30Z
last_indexed 2023-09-18T20:16:30Z
_version_ 1777407822430994432

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