International Journal of
Computer Sciences and Engineering

Scholarly Peer-Reviewed Scientific Research Publishing Journal
Facile Algebraic Representation of a Novel Quaternary Logic
Facile Algebraic Representation of a Novel Quaternary Logic
Ifat Jahangir1 , Anindya Das2 , Masud Hasan3

Section:Research Paper, Product Type: Journal Paper
Volume-4 , Issue-5 , Page no. 1-15, May-2016

Online published on May 31, 2016

Copyright © Ifat Jahangir, Anindya Das, Masud Hasan . This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
 
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Citation

IEEE Style Citation: Ifat Jahangir, Anindya Das, Masud Hasan, “Facile Algebraic Representation of a Novel Quaternary Logic”, International Journal of Computer Sciences and Engineering, Vol.4, Issue.5, pp.1-15, 2016.

MLA Style Citation: Ifat Jahangir, Anindya Das, Masud Hasan "Facile Algebraic Representation of a Novel Quaternary Logic." International Journal of Computer Sciences and Engineering 4.5 (2016): 1-15.

APA Style Citation: Ifat Jahangir, Anindya Das, Masud Hasan, (2016). Facile Algebraic Representation of a Novel Quaternary Logic. International Journal of Computer Sciences and Engineering, 4(5), 1-15.
           
Abstract :
In this work, a novel quaternary algebra has been proposed that can be used to implement an arbitrary quaternary logic function in more than one systematic ways. The proposed logic has evolved from and is closely related to the Boolean algebra for binary domain; yet it does not lack the benefits of a higher-radix system. It offers seamless integration of the binary logic functions and expressions through a set of transforms and allows any binary logic simplification technique to be applied in quaternary domain. Since physical realization of the operators defined in this logic has recently been reported, it has become very important to have a well-defined algebra that will facilitate the algebraic manipulation of the novel quaternary logic and aid in designing various complex logic circuits. Therefore, based on our earlier works, here we describe the complete algebraic representation of this logic for the first time. The efficacy of the logic has been shown by designing and comparing several common logic circuits with existing designs in both binary and quaternary domain.
Key-Words / Index Term :
Propositional Logic, Quaternary algebra, Quaternary Transformation, Sum-of-products
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