Arithmetic version of boolean algebra

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.

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Abstract

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.

Item Type:	Conference or Workshop Item (Full Paper)
Additional Information:	3127/6170 DOI:10.1109/ICCSIT.2009.5234473 ISBN: 9781424445196 (P)
Uncontrolled Keywords:	Boolean Algebra, Arithmetic Version, Logical equivalent propositions, Truth Tables, Sheffer Stroke
Subjects:	Q Science > QA Mathematics
Kulliyyahs/Centres/Divisions/Institutes (Can select more than one option. Press CONTROL button):	Kulliyyah of Engineering > Department of Science
Depositing User:	Prof Mohammad Azram
Date Deposited:	06 Nov 2011 23:46
Last Modified:	22 Nov 2011 09:32
URI:	http://irep.iium.edu.my/id/eprint/6170

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