Rise of the Gole Number System
Ravi Revelly
Ravi Revelly, The Centre of Quantum Science and Technology, International Institute of Information Technology, Hyderabad, (Telangana), India.
Manuscript received on 08 March 2025 | First Revised Manuscript received on 25 March 2025 | Second Revised Manuscript received on 07 April 2025 | Manuscript Accepted on 15 April 2025 | Manuscript published on 30 April 2025 | PP: 43-46 | Volume-5 Issue-1, April 2025 | Retrieval Number: 100.1/ijam.A119405010425 | DOI: 10.54105/ijam.A1194.05010425
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© The Authors. Published by Lattice Science Publication (LSP). This is an open-access article under the CC-BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/)
Abstract: For centuries, the decimal number system served various applications, from basic counting to measuring astronomical distances. However, the efficient and humanfriendly representation of extremely large numbers remains a challenge. For instance, the distance between the Earth and the Moon is 384,400,000 meters, demanding nine digits in decimal representation. To address these challenges, this paper introduces a new number system called the Gole Number System. This new number system is based on an extended radix system, allowing for a compact and efficient representation of large numbers. Specifically, the Gole Number System, derived from the RNumber system with base 100, reduces the number of digits needed for large numbers, achieving a 50% reduction in representation length. By leveraging unique symbols, Gole number system provides compact numbers that can optimize digital displays, memory usage, and computational efficiency. It also offers a unique alignment with the decimal number system thus making it more familiar to human cognitive ability to easily comprehend the value of the Gole number. This compactness can translate to greater efficiency in storing and transmitting data. Potential applications of this number system are, data compression, compact displays, efficient indexing, and secure identification systems. This paper also outlines formal conversion steps and arithmetic operations within the Gole number system, establishing a rigorous mathematical framework for computational applications.
Keywords: Number Theory, Data Compression, Compact Number Representation, Optimal Numeric Encoding, Numerical Optimization, Alternative Number Systems, RNumbers, Gole Number System.
Scope of the Article: Number Theory