Roman Numeral Converter
Convert numbers to Roman numerals or decode Roman numerals.
Roman numeral
MMXXIV
Reference chart
| Number | Roman | Number | Roman | Number | Roman |
|---|---|---|---|---|---|
| 1 | I | 4 | IV | 5 | V |
| 9 | IX | 10 | X | 40 | XL |
| 50 | L | 90 | XC | 100 | C |
| 400 | CD | 500 | D | 900 | CM |
| 1000 | M | 1900 | MCM | 2000 | MM |
| 2024 | MMXXIV | 3000 | MMM | 3999 | MMMCMXCIX |
Roman numeral symbols and values
The seven basic symbols are: I = 1, V = 5, X = 10, L = 50, C = 100, D = 500, M = 1000. Symbols are generally written from largest to smallest, left to right. When a smaller value precedes a larger one, it uses the subtractive rule.
How to read Roman numerals step by step
- Read from left to right, assigning each letter its standard value.
- If a letter is followed by a letter of equal or lesser value, add it.
- If a letter is followed by a letter of greater value, subtract it (subtractive notation).
- Sum all values to get the final number.
Where Roman numerals are used today
- Clock and watch faces (I through XII)
- Book front matter (preface, table of contents page numbers)
- Movie sequels and franchises (Rocky II, Fast X)
- Super Bowl numbering (Super Bowl LVIII)
- Monarchs and popes (King Charles III, Pope Francis)
- Copyright year notices in film credits
- Outline numbering in legal documents
Frequently asked questions
- What are Roman numerals?
- Roman numerals are a numeral system originating in ancient Rome that uses combinations of letters from the Latin alphabet: I (1), V (5), X (10), L (50), C (100), D (500), and M (1000). They are still used today for clock faces, book chapters, movie sequels, copyright years, and Super Bowl numbering.
- What is the subtractive notation rule?
- When a smaller numeral appears before a larger one, it is subtracted. For example, IV = 4 (5−1), IX = 9 (10−1), XL = 40 (50−10), XC = 90 (100−10), CD = 400 (500−100), CM = 900 (1000−100). Only these six combinations are valid subtractive pairs.
- Why is there no zero in Roman numerals?
- Roman numerals evolved from tally marks and were designed for counting objects, not for positional arithmetic. The concept of zero as a placeholder was developed independently in ancient India and later adopted in the Arabic numeral system. Roman numerals have no symbol for zero and cannot easily represent large numbers or fractions.
- What is the largest Roman numeral?
- In standard notation without extensions, 3999 (MMMCMXCIX) is the largest number representable. Roman numerals cannot represent zero or negative numbers. Extended systems used a bar over a numeral to multiply by 1000 (e.g., V̄ = 5,000), but this is not covered by standard notation.
- How do I read the year in Roman numerals?
- Break the year into thousands, hundreds, tens, and units. For 2024: 2000 = MM, 0 hundreds = nothing, 20 = XX, 4 = IV → MMXXIV. For 1999: M + CM + XC + IX = MCMXCIX.
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