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Reseach Article

Minimization of Multiple Value function using Quine Mc-Cluskey Technique

by Prashant S. Wankhade, Gajanan Sarate
International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 143 - Number 7
Year of Publication: 2016
Authors: Prashant S. Wankhade, Gajanan Sarate
10.5120/ijca2016910257

Prashant S. Wankhade, Gajanan Sarate . Minimization of Multiple Value function using Quine Mc-Cluskey Technique. International Journal of Computer Applications. 143, 7 ( Jun 2016), 29-33. DOI=10.5120/ijca2016910257

@article{ 10.5120/ijca2016910257,
author = { Prashant S. Wankhade, Gajanan Sarate },
title = { Minimization of Multiple Value function using Quine Mc-Cluskey Technique },
journal = { International Journal of Computer Applications },
issue_date = { Jun 2016 },
volume = { 143 },
number = { 7 },
month = { Jun },
year = { 2016 },
issn = { 0975-8887 },
pages = { 29-33 },
numpages = {9},
url = { https://ijcaonline.org/archives/volume143/number7/25090-2016910257/ },
doi = { 10.5120/ijca2016910257 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-06T23:46:24.989418+05:30
%A Prashant S. Wankhade
%A Gajanan Sarate
%T Minimization of Multiple Value function using Quine Mc-Cluskey Technique
%J International Journal of Computer Applications
%@ 0975-8887
%V 143
%N 7
%P 29-33
%D 2016
%I Foundation of Computer Science (FCS), NY, USA
Abstract

This paper presents minimization technique for multiple value function using Quine Mc-cluskey’s method. This paper provide steps for the minimization of multivalued function i.e. radix >2 digital system. The ternary digital system which radix=3 is considered here minimized function of MVL function implemented using decoder and multiplexer and answer is verified using ternary k-map. As the radix of system increases, the difficulties in the minimization or reduction of logic function is get increases. It becomes difficult to for higher radix to reduce the function design equation. In this paper we successfully applied Quine Mc-Cluskey’s technique to ternary system. In this paper simplified expression designed using decoder and ternary gate. Same expression implemented using ternary multiplexer. Hardware required for both cases is evaluated. It incorporates all designed rules for ternary logic system design and gives the output in the form of Sum-of-Product (SOP) terms.

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Index Terms

Computer Science
Information Sciences

Keywords

Multivalued Radix Sum-of-Product (SOP) Ternary Unary function