What Is a Roman Numeral Converter?
A Roman Numeral Converter translates numbers between the standard decimal system (Arabic numerals) and the classical Roman numeral system — entirely in your browser. No data is sent to any server.
Roman Numeral Symbols
| Symbol | Value |
|---|---|
| I | 1 |
| V | 5 |
| X | 10 |
| L | 50 |
| C | 100 |
| D | 500 |
| M | 1000 |
Subtractive Notation
To avoid four consecutive identical symbols, Roman numerals use subtractive pairs:
| Notation | Value |
|---|---|
| IV | 4 |
| IX | 9 |
| XL | 40 |
| XC | 90 |
| CD | 400 |
| CM | 900 |
A smaller symbol placed before a larger one means subtraction. For example, IX = 10 − 1 = 9 and CM = 1000 − 100 = 900.
How to Use
- Type a decimal number (1–3999) and the Roman numeral appears instantly.
- Type a Roman numeral (e.g. MCMXCIV) and the decimal value is shown.
- Use Batch Convert to process multiple values at once — one per line, mix of decimal and Roman.
- Click Copy to copy either result to your clipboard.
Rules for Valid Roman Numerals
- Only the symbols I, V, X, L, C, D, M are allowed.
- I, X, C, M may appear up to three times consecutively (e.g. III, XXX, CCC, MMM).
- V, L, D may never repeat.
- Only the six standard subtractive pairs are valid (IV, IX, XL, XC, CD, CM).
Invalid examples: IIII, MMMM, VV, LL, DD, IIX, VX.
Decimal to Roman: Step-by-Step
Converting 1994 to MCMXCIV:
| Remaining | Symbol | Result so far |
|---|---|---|
| 1994 | M | M |
| 994 | CM | MCM |
| 94 | XC | MCMXC |
| 4 | IV | MCMXCIV |
The algorithm greedily subtracts the largest possible value at each step.
Roman to Decimal: Step-by-Step
Reading XIV left to right:
- X = 10
- I = 1, but the next symbol V = 5 is larger → subtract: −1
- V = 5
Total: 10 − 1 + 5 = 14
Whenever a symbol is followed by a larger one, it is subtracted rather than added.
The Supported Range: 1–3999
Standard Roman numerals cover 1 (I) to 3999 (MMMCMXCIX). Three Ms (MMM) is the highest repeating group. Numbers from 4000 upward require the vinculum (bar notation) or other historical extensions.
Common Uses
- Numbering chapters, sections, and appendices in books and legal documents
- Clock faces (I through XII)
- Copyright years in film credits (e.g. MMXXIV = 2024)
- Naming sequels, Super Bowls, and Olympic games
- Numbering monarchs and popes (Henry VIII, Pope John Paul II)
Privacy
All conversions are computed locally in your browser. Nothing you type is ever sent to a server, stored, or tracked.