Open Access

ARTICLE

A Novel Design of Octal-Valued Logic Full Adder Using Light Color State Model

Ahmed Talal, Osama Abu-Elnasr^*, Samir Elmougy
Department of Computer Science, Faculty of Computes and Information, Mansoura University, Mansoura, 35516, Egypt
* Corresponding Author: Osama Abu-Elnasr. Email:
(This article belongs to this Special Issue: Interval Arithmetic with Applications to Physical Phenomena)

Computers, Materials & Continua 2021, 67(3), 3487-3503. https://doi.org/10.32604/cmc.2021.015759

Received 05 December 2020; Accepted 06 January 2021; Issue published 01 March 2021

Abstract

Due to the demand of high computational speed for processing big data that requires complex data manipulations in a timely manner, the need for extending classical logic to construct new multi-valued optical models becomes a challenging and promising research area. This paper establishes a novel octal-valued logic design model with new optical gates construction based on the hypothesis of Light Color State Model to provide an efficient solution to the limitations of computational processing inherent in the electronics computing. We provide new mathematical definitions for both of the binary OR function and the PLUS operation in multi valued logic that is used as the basis of novel construction for the optical full adder model. Four case studies were used to assure the validity of the proposed adder. These cases proved that the proposed optical 8-valued logic models provide significantly more information to be packed within a single bit and therefore the abilities of data representation and processing is increased.

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Keywords

Mathematical modeling; numerical simulations; optical logic; optics in computing; multi-valued logic; full adder

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