Convert between Roman numerals and decimal numbers instantly. See the step-by-step breakdown of each conversion. Supports values from 1 to 3999 with full validation.
Quick examples:
| Roman | Decimal | Roman | Decimal |
|---|---|---|---|
| I | 1 | V | 5 |
| X | 10 | L | 50 |
| C | 100 | D | 500 |
| M | 1000 | ||
| Subtractive Combinations | |||
| IV | 4 | IX | 9 |
| XL | 40 | XC | 90 |
| CD | 400 | CM | 900 |
Convert decimal numbers to Roman numerals or Roman numerals back to decimal. Switch between modes with a single click for quick bidirectional conversion.
See exactly how each conversion works with a detailed breakdown showing which Roman numeral symbols combine to form the final result.
Instantly validates your input. Catches invalid Roman numerals, out-of-range decimals, and improper numeral sequences before conversion.
Quick-access reference table showing all seven Roman numeral symbols and their subtractive combinations for easy lookup while working.
Roman numerals are a numeral system originating in ancient Rome that remained the standard way of writing numbers throughout Europe well into the Late Middle Ages. The system uses seven basic symbols: I (1), V (5), X (10), L (50), C (100), D (500), and M (1000). Numbers are formed by combining these symbols and adding their values together.
When a smaller numeral appears before a larger one, it indicates subtraction. For example, IV represents 4 (5 minus 1) rather than writing IIII. The six standard subtractive combinations are: IV (4), IX (9), XL (40), XC (90), CD (400), and CM (900). This makes Roman numerals more compact and is the standard form used in modern notation.
Roman numerals are still widely used today for clock and watch faces, numbering chapters in books, naming sequels in film and video game franchises (e.g., Star Wars Episode IV), formal outlines and lists, copyright year displays, naming monarchs and popes (e.g., Queen Elizabeth II), and the Super Bowl (e.g., Super Bowl LVIII).
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