This paper is published in Volume-6, Issue-2, 2020
Area
Mathematics
Author
Manjeet Singh
Org/Univ
Parul University, Vadodara, Gujarat, India
Pub. Date
26 March, 2020
Paper ID
V6I2-1307
Publisher
Keywords
flexible number system, base m system

Citationsacebook

IEEE
Manjeet Singh. Transformation of number system, International Journal of Advance Research, Ideas and Innovations in Technology, www.IJARIIT.com.

APA
Manjeet Singh (2020). Transformation of number system. International Journal of Advance Research, Ideas and Innovations in Technology, 6(2) www.IJARIIT.com.

MLA
Manjeet Singh. "Transformation of number system." International Journal of Advance Research, Ideas and Innovations in Technology 6.2 (2020). www.IJARIIT.com.

Abstract

A number is just a combination of some symbols expressed as numerals or digits in any number system, the number of terms in the combination depends upon the base of a number system (or a number of digits/numerals in the number system). Any combination can be represented as (Q)m Where, Q → Combination (or integer) and m → base of a number system (or a number of digits in the system). (11000000)2 → (300)8 → (192)10 → (C0)16 As you can see that a combination 192 in base 10 system have a different number of terms, based on the number system it lies in and as we increase the digits in the number system, the number of terms in the combination decrease but its value remains same. The large combinations in our base 10 system, can be a small combination in a base m system having a very large value of m. In base 10 system a combination arrives know as infinity and this combination arrive because we have only 10 digits, if we convert this combination in base m system where m →∞, then this combination can become finite in that system.