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

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. General Terms Number system, binary,octal, hexadecimal,inter conversions