Draft:Gole number system
Proposed base-100 positional numeral system
From Wikipedia, the free encyclopedia
The Gole number system is a proposed positional numeral system with base 100, introduced in 2025 by Ravi Revelly.[1] The system is derived from the broader R Number System framework and is designed to provide a compact representation of large decimal numbers by grouping digits in pairs (00–99). Each pair is represented by a single symbol in a 100-character set.
| Submission rejected on 17 March 2026 by DoubleGrazing (talk). The subject does not meet Wikipedia's criteria for inclusion. The subject is contrary to the purpose of Wikipedia. Rejected by DoubleGrazing 9 days ago. Last edited by DoubleGrazing 9 days ago. |  |
| Submission rejected on 11 June 2025 by CoconutOctopus (talk). The subject does not meet Wikipedia's criteria for inclusion. Rejected by CoconutOctopus 9 months ago. | |
Comment: Wikipedia is not for things made up one day. -- DoubleGrazing (talk) 09:27, 17 March 2026 (UTC)
- Comment: In accordance with Wikipedia's Conflict of interest policy, I disclose that I have a conflict of interest regarding the subject of this article. Revelly (talk) 12:12, 11 June 2025 (UTC)
| Gole number system | |
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| Common systems | |
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Less common systems |
According to its author, the system reduces the number of written symbols required to represent large decimal values by approximately 50%, while preserving positional notation principles.[1]
Background
The decimal (base-10) numeral system is the most widely used system for arithmetic and everyday numerical representation. Alternative systems such as binary, hexadecimal, and Base64 are commonly used in computing environments. While hexadecimal and Base64 can reduce representation length compared to decimal, they incorporate alphabetic characters and are primarily designed for computational rather than general human readability.
The Gole number system was proposed as an attempt to provide a compact representation of large numbers while maintaining a direct and systematic mapping from decimal notation.[1]
Structure
The Gole number system operates with:
- Base (radix): 100
- Digit range: 00–99
- One unique symbol assigned to each value from 0 to 99
In experimental demonstrations, symbols were selected from Unicode (Version 15.0) character sets.[1] A dedicated encoding scheme called RSCII (R Number Standard Code for Information Interchange) was proposed to standardize the symbol set.
Conversion method
Decimal to Gole
Conversion from decimal to Gole representation involves:
- Splitting the decimal number into two-digit groups from right to left.
- Mapping each two-digit value (00–99) to its corresponding Gole symbol.
- Concatenating the mapped symbols in the original order.
For example, the decimal number:
- 149597870700
is grouped as:
- 14 | 95 | 97 | 87 | 07 | 00
Each pair is mapped to a corresponding Gole symbol using the character index table described in the original publication.[1]
Gole to decimal
The reverse conversion follows:
- Mapping each Gole symbol to its associated two-digit decimal value.
- Concatenating the values in sequence to reconstruct the original decimal number.
The author describes this process as a direct lookup operation rather than repeated division or exponentiation, as used in some base conversions.[1]
Arithmetic
Arithmetic operations in the Gole system follow the same positional principles as decimal arithmetic, with carry operations occurring at base 100 rather than base 10. For example, addition is performed symbol-wise, and when a sum exceeds 99, a carry is propagated to the next higher position.[1]
Proposed applications
The original publication suggests potential applications including:[1]
- Data compression and compact numerical storage
- Space-efficient digital displays
- Cryptographic key representation
- Numerical indexing systems
- Multi-state computational models
These applications are theoretical and were proposed as areas for further exploration.
RSCII
RSCII (R Number Standard Code for Information Interchange) is a proposed encoding standard intended to provide a fixed 100-symbol character set for representing Gole digits. The 2025 publication describes RSCII as a future development and does not provide a finalized specification.[1]