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NeatUtility

Roman Numeral Converter (Roman ↔ Arabic)

Numbers & Units100% Client-Side
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About this tool, examples & FAQ

Convert between standard Roman numerals and decimal integers with strict subtractive syntax checking, case controls, and batch multi-line conversion.

Key facts

Verified capabilities and limits of this utility
Supported number range1 to 3,999 (I to MMMCMXCIX) under standard classical Roman notation
Subtractive notationFull compliance with IV, IX, XL, XC, CD, and CM standard subtractive combinations
Two-way Swap supportBidirectional Arabic → Roman and Roman → Arabic conversion
Max input size20 KB
Execution deadline1 s
Processing locationBrowser-only: numeral conversion executes locally in a Web Worker

How to use

  1. Enter an Arabic integer (e.g. `2026`) or a Roman numeral (e.g. `MMXXVI`).
  2. Select operation: 'To Roman (Arabic → Roman)' or 'To Arabic (Roman → Arabic)'.
  3. Choose letter casing: Uppercase (MMXXVI) or Lowercase (mmxxvi).
  4. Toggle strict syntax validation to enforce classical subtractive rules.
  5. Click 'Run' or press Ctrl+Enter to convert.

Example

Convert 2026 to Roman numerals

Input

2026

Example output

MMXXVI

Edge cases

Standard Roman Numeral Upper Bound

Standard typographic Roman numerals reach 3,999 (MMMCMXCIX). Numbers 4,000+ require historical vinculum overline notation.

Strict vs Non-Strict Subtractive Syntax

Strict mode rejects non-standard repetitions (e.g. IIII instead of IV) and invalid subtractive pairs (e.g. IL instead of XLIX).

Batch multi-line processing

Processes multiple numbers or Roman numerals line by line, preserving blank lines and formatting.

How it works

  1. In Arabic to Roman mode, greedily subtracts descending numeral values (1000, 900, 500, 400, 100, 90, 50, 40, 10, 9, 5, 4, 1) appending corresponding symbols.
  2. In Roman to Arabic mode, validates strict syntax via formal regex and iterates characters adding or subtracting depending on the value of the subsequent symbol.
  3. Applies uppercase or lowercase formatting according to user preference.

Frequently asked questions

Why does standard Roman numeral notation stop at 3,999?

Standard Roman numerals use M as the highest single symbol representing 1,000, and consecutive identical symbols cannot repeat more than three times (MMM = 3,000). Representing 4,000 and above historically required extended notation like vinculum overlines.

Why is 4 written as IV instead of IIII?

Standard subtractive notation places a smaller numeral before a larger numeral to indicate subtraction (IV = 5 - 1 = 4). While ancient additive notation occasionally used IIII, standard modern notation mandates IV.

Is there a Roman numeral for zero?

No. Classical Roman numerals did not include a numeral for zero. Medieval scholars occasionally used 'N' (nulla), but 0 is not part of standard Roman numerals.

References