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Reseach Article

A Different and Realistic Approach to Inter Base Conversion for Number System

by Saurabh Rawat, Bhaskar Nautiyal, Anushree Sah
International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 52 - Number 18
Year of Publication: 2012
Authors: Saurabh Rawat, Bhaskar Nautiyal, Anushree Sah
10.5120/8306-1941

Saurabh Rawat, Bhaskar Nautiyal, Anushree Sah . A Different and Realistic Approach to Inter Base Conversion for Number System. International Journal of Computer Applications. 52, 18 ( August 2012), 37-44. DOI=10.5120/8306-1941

@article{ 10.5120/8306-1941,
author = { Saurabh Rawat, Bhaskar Nautiyal, Anushree Sah },
title = { A Different and Realistic Approach to Inter Base Conversion for Number System },
journal = { International Journal of Computer Applications },
issue_date = { August 2012 },
volume = { 52 },
number = { 18 },
month = { August },
year = { 2012 },
issn = { 0975-8887 },
pages = { 37-44 },
numpages = {9},
url = { https://ijcaonline.org/archives/volume52/number18/8306-1941/ },
doi = { 10.5120/8306-1941 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-06T20:52:58.878547+05:30
%A Saurabh Rawat
%A Bhaskar Nautiyal
%A Anushree Sah
%T A Different and Realistic Approach to Inter Base Conversion for Number System
%J International Journal of Computer Applications
%@ 0975-8887
%V 52
%N 18
%P 37-44
%D 2012
%I Foundation of Computer Science (FCS), NY, USA
Abstract

A number system (or system of numeration) is a writing system for expressing numbers, that is a mathematical notation for representing numbers of a given set, using digits or other symbols in a consistent manner. It can be seen as the context that allows the symbols "11" to be interpreted as the binary symbol for three, the decimal symbol for eleven, or a symbol for other numbers in different bases. A number system is a set of rules and symbols used to represent a number. Binary ( 0 , 1 ) and other famous number systems, octal ( 0-7 ), hexadecimal ( 0-15 ) are based on same fundamental concept of decimal number system ( 0-9 ). The knowledge of number systems, their representation, limits, arithmetic compliments and inter conversion of numbers between prescribed number systems is essential for understanding of computers and successful programming for digital devices. Understanding all these number conversions ( from one base to decimal and to another base ) and related concepts requires a lot of time and large time consuming techniques to expertise. In this paper we have elaborated concepts of conversion among different bases and proposed with the help of a table to obtain simply and effectively solution from one base to another base conversion, without converting to decimal number system. This effort will also enhance the knowledge intellectuals understanding and practicing of number system conversions.

References
  1. Shahid Latif, Asad Malook, Fahad Masoud, Muhammad Sohaib, "Proposed NS-Calculator for Well-known Number Systems ", International Journal of Computer Applications (0975-8887), Volume32- no 1, October 2011
  2. Shahid Latif, Junaid Qayyum, Muhammad Lal, Faheem Khan "Complete description of well-known number systems using single table" International Journal of Engineering and Computer Science (IJECS-IJENS), Volume 11, Issue 03
  3. Debasis Das , Dr U A Lanjewar, '' Realistic Approach of Strange Number System from Unodecimal to Vigesimal ", International Journal of Computer Science and Telecommunications, Volume 3, issue 1, January 2012.
  4. Ramesh S. Gaonkar Microprocessor Architecture, Programming, and Applications with the 8085/8080A Published by H. S. Poplai for Wiley Eastern Limited, New Delhi ISBN: 0 85226 297 3
  5. Davenport, Harold, The Higher Arithmetic:An Introduction to the Theory of Numbers (7th ed. ), Cambridge University Press, Cambridge, UK,1999, ISBN 0-521-63446-6
  6. Histoire universelle des chiffres, Georges Ifrah, Robert Laffont, 1994 (Also:The Universal History of Numbers: From prehistory to the invention of the computer, Georges Ifrah, ISBN 0471393401, John Wiley and Sons Inc. , New York, 2000. Translated from the French by David Bellos, E. F. Harding, Sophie Wood and Ian Monk)
  7. M. MORRIS MANO "Digital Logic and Computer Design" 2nd edition
  8. D. Nasib S. Gill, J. B. Dixit "Digital Design and Computer Organisation"
  9. Histoire universelle des chiffres, Georges Ifrah, Robert Laffont, 1994 (Also:The Universal History of Numbers: From prehistory to the invention of the computer, Georges Ifrah, ISBN 0471393401, John Wiley and Sons Inc. , New York, 2000. Translated from the French by David Bellos, E. F. Harding, Sophie Wood and Ian Monk)
  10. Kostopoulos, G. K. , Digital Engneering. New York: John Wiley & sons, Inc. , 1975.
  11. FLORES, I. , The Logic of Computer Arithmetic. Englewood Chffs, N. J. : Prentice-Hall, Inc. 1963.
  12. Behrouz A. Forouzan Data Communication And Networking 2nd edition Updated
Index Terms

Computer Science
Information Sciences

Keywords

Number system binary octal hexadecimal inter conversions