Roman Numeral Converter
Convert between Arabic numbers and Roman numerals instantly. Get detailed breakdowns, place value analysis, and visual charts.
Converter
Enter a number or Roman numeral, then click Convert to see the result with detailed breakdown, charts, and analysis.
Roman Numeral
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Numeral Length
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Unique Chars
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Even/Odd
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Prime
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Step-by-Step Breakdown
Place Value Decomposition
Place Value Distribution
Value Breakdown
Nearby Numbers
Fun Facts
Complete User Guide
What Are Roman Numerals?
Roman numerals are a numeral system originating in ancient Rome. They use combinations of letters from the Latin alphabet — I, V, X, L, C, D, and M — to represent values. Unlike our modern decimal system, Roman numerals do not use place value in the same way and have no symbol for zero.
Basic Roman Numeral Symbols
| Symbol | Value | Origin |
|---|---|---|
| I | 1 | One finger |
| V | 5 | Hand (5 fingers) |
| X | 10 | Two hands crossed |
| L | 50 | From symbol ↆ |
| C | 100 | Centum (Latin for 100) |
| D | 500 | Half of Φ (1000) |
| M | 1000 | Mille (Latin for 1000) |
Rules for Roman Numerals
Additive Rule
When a smaller or equal symbol follows a larger one, add the values. Example: VI = 5 + 1 = 6
Subtractive Rule
When a smaller symbol precedes a larger one, subtract the smaller. Example: IV = 5 - 1 = 4. Only I, X, and C can be subtracted.
Repetition Rule
I, X, C, and M can be repeated up to 3 times consecutively. V, L, and D are never repeated. Example: III = 3, but IIII is invalid.
Subtractive Combinations
| Combination | Value | Meaning |
|---|---|---|
| IV | 4 | 5 - 1 |
| IX | 9 | 10 - 1 |
| XL | 40 | 50 - 10 |
| XC | 90 | 100 - 10 |
| CD | 400 | 500 - 100 |
| CM | 900 | 1000 - 100 |
How to Use This Converter
- Choose your conversion direction (Number → Roman or Roman → Number)
- Enter your value in the input field or use a quick-select button
- Click 'Convert' to see the result
- Review the step-by-step breakdown and place value analysis
- Explore the charts for visual representation
Important Notes
- Standard Roman numerals represent values from 1 to 3,999.
- Roman numerals have no symbol for zero — the concept didn't exist in ancient Rome.
- Roman numerals are still used today for clock faces, book chapters, movie sequels, and more.