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THEORETICAL FRAMEWORK OF NUMBERS UNDER BASE VARIATION

📘 Volume 12 📄 Issue 3 📅 March 2026

👤 Authors

Hoshiyar Singh, Abhishek Kumar Chaurasiya, Parveen Kumar, Yogesh Khandelwal, Chhoga Lal Gurjar 1
1. Jaipur National University, Jaipur, Rajasthan, Mathematics, India

📄 Abstract

The representation of numbers varies according to the base (radix) used in a numeral system. This paper presents a theoretical framework for understanding numbers under base variation, focusing on positional representation, base conversion, and algebraic properties. It demonstrates that while the symbolic representation of numbers changes with base, their intrinsic value remains invariant. The study also highlights the importance of base systems in modern computational and mathematical applications.

🏷️ Keywords

Number System Base Variation Radix Positional Notation Base Conversion Binary System Algebraic Structure Numerical Representation

🔗 DOI

DOI - (https://doi.org/10.36713/epra26749)

📚 How to Cite:

Hoshiyar Singh, Abhishek Kumar Chaurasiya, Parveen Kumar, Yogesh Khandelwal, Chhoga Lal Gurjar , THEORETICAL FRAMEWORK OF NUMBERS UNDER BASE VARIATION , Volume 12 , Issue 3, March 2026, EPRA International Journal of Multidisciplinary Research (IJMR) , DOI: https://doi.org/10.36713/epra26749

🔗 PDF URL

https://cdn.eprapublishing.org/article/202603-01-026749.pdf

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