113base6

113base6 is a conceptual numeral encoding system and accompanying software library focused on base-6 representation. The project uses the digits 0 through 5 and aims to illustrate how numbers and data can be represented in a radix-6 notation. The name reflects the base and the illustrative example 113 in base-6.

Encoding method is central to 113base6. The core idea is straightforward: integers are converted to base-6 by repeated division by 6, yielding digits 0–5 from most significant to least significant. For data, sequences of bytes can be encoded as base-6 digits using a compact mapping with padding as necessary. A small set of control codes enables delimiting numbers, strings, and binary data within a base-6 stream.

Software and API exist as lightweight libraries across multiple programming languages. They provide functions to encode and decode integers, to convert binary data into a base-6 string, and to decode back to bytes. The libraries emphasize readability and clear documentation to support learning about numeral systems and base-6 arithmetic.

Applications and reception of 113base6 are primarily educational. It is used in teaching environments to demonstrate base conversion, radix representation, and alternative data encodings, as well as by hobbyists exploring non-standard numeral systems. It is not an established standard for production systems, and adoption remains limited outside pedagogical and experimental contexts.

See also: base-2, base-8, base-10, base-16, base-36.