How the Roman Numeral Converter Works
Roman numerals are the number system of ancient Rome. They use letters instead of digits, and they are still used today for clock faces, book chapters, film sequels, the names of kings and queens, and the year on old buildings. The Roman Numeral Converter changes a number into a Roman numeral and back, and it can write a date in Roman numerals.
What you enter
- A number from 1 to 3,999, to get its Roman numeral.
- A Roman numeral, to get its value. Lower case letters are accepted.
- A day, a month and a year, to write a date in Roman numerals, with dots, hyphens or slashes between the parts.
The seven symbols
| Symbol | Value |
|---|---|
| I | 1 |
| V | 5 |
| X | 10 |
| L | 50 |
| C | 100 |
| D | 500 |
| M | 1,000 |
The rules
- Add from left to right. Symbols are written from the largest to the smallest, and their values are added. VIII is 5 + 1 + 1 + 1 = 8.
- Repeat a symbol up to three times. III is 3, and XXX is 30. The number 4 is not IIII, but IV.
- A smaller symbol in front of a larger one is taken away. IV is 5 - 1 = 4, and XL is 50 - 10 = 40.
- Only I, X and C can be taken away, and only from the next two larger symbols. So there are six pairs: IV (4), IX (9), XL (40), XC (90), CD (400) and CM (900).
- V, L and D are never repeated, and they are never taken away.
How a number is turned into a numeral
The calculator takes the number one place at a time, from the thousands to the ones, and writes each part with the symbols. Take 2026:
| Place | Part of the number | Roman numeral |
|---|---|---|
| Thousands | 2000 | MM |
| Hundreds | 0 | (nothing) |
| Tens | 20 | XX |
| Ones | 6 | VI |
Put together, 2026 is MMXXVI. The digits 1 to 9 in each place follow the same pattern:
| Digit | Ones | Tens | Hundreds | Thousands |
|---|---|---|---|---|
| 1 | I | X | C | M |
| 2 | II | XX | CC | MM |
| 3 | III | XXX | CCC | MMM |
| 4 | IV | XL | CD | |
| 5 | V | L | D | |
| 6 | VI | LX | DC | |
| 7 | VII | LXX | DCC | |
| 8 | VIII | LXXX | DCCC | |
| 9 | IX | XC | CM |
How a numeral is turned into a number
Read from left to right. If a symbol is smaller than the one after it, take it away. Otherwise, add it. For MCMXCIV:
| Part | Value |
|---|---|
| M | 1,000 |
| CM (1,000 - 100) | 900 |
| XC (100 - 10) | 90 |
| IV (5 - 1) | 4 |
| Total | 1,994 |
█████████████████████████████████████████ M 1000 CM 900 XC 90 IV 4
The bar shows how the 1,994 is divided between the parts. Each block is about 50 units.
Some examples
| Number | Roman numeral | Why |
|---|---|---|
| 4 | IV | 5 - 1 |
| 9 | IX | 10 - 1 |
| 14 | XIV | 10 + (5 - 1) |
| 49 | XLIX | (50 - 10) + (10 - 1). It is not IL. |
| 99 | XCIX | (100 - 10) + (10 - 1). It is not IC. |
| 444 | CDXLIV | (500 - 100) + (50 - 10) + (5 - 1) |
| 1994 | MCMXCIV | 1000 + 900 + 90 + 4 |
| 2026 | MMXXVI | 2000 + 20 + 6 |
| 3999 | MMMCMXCIX | The largest standard numeral |
- Number: 4
Roman numeral: IV
Why: 5 - 1 - Number: 9
Roman numeral: IX
Why: 10 - 1 - Number: 14
Roman numeral: XIV
Why: 10 + (5 - 1) - Number: 49
Roman numeral: XLIX
Why: (50 - 10) + (10 - 1). It is not IL. - Number: 99
Roman numeral: XCIX
Why: (100 - 10) + (10 - 1). It is not IC. - Number: 444
Roman numeral: CDXLIV
Why: (500 - 100) + (50 - 10) + (5 - 1) - Number: 1994
Roman numeral: MCMXCIV
Why: 1000 + 900 + 90 + 4 - Number: 2026
Roman numeral: MMXXVI
Why: 2000 + 20 + 6 - Number: 3999
Roman numeral: MMMCMXCIX
Why: The largest standard numeral
Chart: how long is the numeral?
Each numeral is drawn with two blocks for each letter. Green is short, amber is longer, and red is the longest of all.
4 IV ████ 2 letters 8 VIII ████████ 4 letters 49 XLIX ████████ 4 letters 444 CDXLIV ████████████ 6 letters 2026 MMXXVI ████████████ 6 letters 38 XXXVIII ██████████████ 7 letters 1994 MCMXCIV ██████████████ 7 letters 88 LXXXVIII ████████████████ 8 letters 3888 MMMDCCCLXXXVIII ██████████████████████████████ 15 letters
3888 needs the most letters of all the numbers from 1 to 3,999, with 15. A number does not have to be large to have a long numeral. 88 needs 8 letters, and 2000 needs only 2.
What the converter checks
Not every combination of letters is a valid numeral. The converter accepts only the standard form. If you enter something else, it tells you what you probably meant:
| You enter | Problem | Correct form |
|---|---|---|
| IIII | A symbol is repeated four times | IV (4) |
| IC | I can only be taken away from V and X | XCIX (99) |
| VX | V is never taken away | V (5) |
| MMMM | More than three thousands | Out of range |
- You enter: IIII
Problem: A symbol is repeated four times
Correct form: IV (4) - You enter: IC
Problem: I can only be taken away from V and X
Correct form: XCIX (99) - You enter: VX
Problem: V is never taken away
Correct form: V (5) - You enter: MMMM
Problem: More than three thousands
Correct form: Out of range
The number 4 is written IIII on many clock faces. This is an old custom, and it is accepted on clocks, but it is not the standard form for other uses.
Writing a date in Roman numerals
To write a date, each part is changed on its own: the day, the month and the year. The 24th of September 2026 is:
| Part | Number | Roman numeral |
|---|---|---|
| Day | 24 | XXIV |
| Month | 9 | IX |
| Year | 2026 | MMXXVI |
| Together | XXIV.IX.MMXXVI |
The calculator checks that the date exists. The 29th of February is accepted in 2024, but not in 2023. This is popular for weddings, tattoos, engraved gifts and the dates of buildings.
Where Roman numerals are used
- Clock faces, and the hours on watches.
- Names of monarchs and popes, such as Elizabeth II.
- Sequels and events, such as Super Bowl LVIII, which is 58.
- Outlines and lists, book chapters, and the pages at the front of a book.
- Years of copyright in the credits of films and television shows.
Why the largest number is 3,999
The Romans had no symbol for 5,000 or more. To write bigger numbers, they put a bar over a numeral, which multiplied it by 1,000. So V with a bar is 5,000. A bar over a letter cannot be typed in a simple box, so the converter works up to MMMCMXCIX, which is 3,999. The Romans also had no symbol for zero.
Tips
- Work from the left, one place at a time. This is the easiest way to write a number by hand.
- Remember the six pairs: IV, IX, XL, XC, CD and CM.
- Check a numeral by adding it up again.
What this converter does not include
- Numbers above 3,999, fractions and zero.
- Old or unusual forms, such as IIII on a clock, or IIX for 8, which some ancient inscriptions used.
- The bar over a numeral, which cannot be typed here.
This tool gives a general conversion in the standard modern form of Roman numerals.