Arithmetic version of boolean algebra

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...

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Main Authors: Azram, Mohammad, Daoud, Jamal Ibrahim, Mohamed Elfaki, Faiz Ahmed
Format: Conference or Workshop Item
Language:English
Published: 2009
Subjects:
QA Mathematics
Online Access:http://irep.iium.edu.my/6170/
http://irep.iium.edu.my/6170/
http://irep.iium.edu.my/6170/1/05234473.pdf
id iium-6170
recordtype eprints
spelling iium-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 Conference or Workshop Item 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
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
Mohamed Elfaki, Faiz Ahmed
Arithmetic version of boolean algebra
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.
format Conference or Workshop Item
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
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
publishDate 2009
url http://irep.iium.edu.my/6170/
http://irep.iium.edu.my/6170/
http://irep.iium.edu.my/6170/1/05234473.pdf
first_indexed 2023-09-18T20:15:00Z
last_indexed 2023-09-18T20:15:00Z
_version_ 1777407728818323456

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