Number Base & Numeral System Converter

Convert a value in real time across positional bases (binary, octal, decimal, hex, any base 2–36) and alphabetic numeral systems (Roman, Hebrew gematria, Greek). Every field is editable — type in any one and the rest update.

Positional Number Systems
Decimal (10)
Hexadecimal (16)
Binary (2)
Octal (8)

Arbitrary precision via BigInt — integers of any size are supported. A negative sign is allowed.

Custom Radix (Base 2–36)
Base {{ radix }}

Digits use 0–9 then A–Z. Base 32 and base 36 are common for short IDs and compact encodings.

Alphabetic & Historical Numerals
Roman
Standard subtractive form, range 1–3999 (e.g. 2024 → MMXXIV).
Hebrew (Gematria)
Range 1–999,999. Uses geresh (׳) / gershayim (״) marks and the ט״ו / ט״ז convention for 15 & 16.
Greek (Ionian)
Milesian/Ionian system, range 1–9999. Keraia (ʹ) marks the numeral; low keraia (͵) prefixes thousands.
IEEE 754 Float32 Bit Breakdown

Interpreting {{ decNum }} as a 32-bit float:

{{ floatBits.sign }} {{ b }} {{ b }}
■ Sign: {{ floatBits.sign }} ■ Exponent: {{ floatBits.exponent }} ■ Mantissa: {{ floatBits.mantissa }}
About the Numeral Systems

Positional bases (binary, octal, decimal, hexadecimal, and any base 2–36) express a value as a sum of digit × baseposition. Conversion here is exact for integers of any magnitude using JavaScript BigInt.

Roman numerals are additive/subtractive and have no zero, so this tool covers the standard 1–3999. Input is validated by round-trip: non-canonical forms such as IIII or IC are rejected.

Hebrew gematria assigns numeric values to letters (א=1 … ת=400). Numbers are additive; 15 and 16 are written ט״ו and ט״ז to avoid spelling a divine name. Thousands are marked with a geresh. This is the same system used for Hebrew calendar years (e.g. ה׳תשפ״ד = 5784). A bare multiple of 1000 (e.g. ה׳) is inherently ambiguous with its single-letter value, so reading one back resolves to the smaller number.

Greek (Ionian/Milesian) numerals use 27 letters — including the archaic digamma (ϛ), koppa (ϙ) and sampi (ϡ) — grouped as units, tens and hundreds. A keraia marks the value as a number; a low keraia before a letter multiplies it by 1000.

Everything runs client-side in your browser — no value ever leaves the page.