What protocol5.com is
A public home for numeric experiments
Protocol5 brings together exact arithmetic, number-system tooling, and related mathematics pages like Fibonacci and prime-number exploration.
Calculator
Precision Calculator
Apply exact arithmetic inside one base. Use this when the value should change.
Converter
Radix/Base Converter
Keep the value the same while rewriting it in binary, decimal, hexadecimal, base 36, radix 63404, and more.
Encryption Tool
Math-Based Text Obfuscation
Multiply text and a secret inside a custom radix, then reverse it by division with the same key material.
Why Radix 63404 exists
Dense numbers without multi-character digits
Generated catalogs can contain millions of numeric references. Radix 63404 collapses the displayed digit count aggressively while keeping each digit to one BMP character.
How the key is defined
All BMP chars except whitespace, control, and surrogates
The key is deterministic: walk Unicode code points from low to high, keep only characters that are not whitespace, not control characters, and not surrogate code units.
What that tradeoff means
Fewer digits first, byte savings second
Radix 63404 primarily compresses visual length and token count. On disk, the payoff depends on encoding and context, but repeated generated number pages still benefit from the shorter representation.