Roman Numeral Converter
Convert decimal numbers to Roman numerals (1-3999) and back instantly, with symbol reference tables.
Basic Numerals
Subtractive Notation
How to use
- 1 Type a decimal number (1–3999) in the left field to see the Roman numeral equivalent.
- 2 Or type a Roman numeral in the right field to get the decimal value.
- 3 Both fields update in real time as you type.
- 4 Click "Load example" to see a complex numeral like MCMXCIV (1994) as a reference.
Key features
- Bidirectional: decimal → Roman and Roman → decimal, both in real time
- Validates input and decimal must be between 1 and 3999
- Built-in reference table for all symbols (I, V, X, L, C, D, M) and subtractive pairs
- Useful for clocks, book chapters, copyright years, and historical notation
What Are Roman Numerals?
Roman numerals are a numeral system that originated in ancient Rome and uses combinations of letters from the Latin alphabet (I, V, X, L, C, D, M) instead of positional digits. The system is additive: XX = 10 + 10 = 20. A subtractive rule handles values like 4 or 9: a smaller symbol placed before a larger one is subtracted, so IV = 5 - 1 = 4 and CM = 1000 - 100 = 900.
The standard form writes numbers from 1 (I) to 3999 (MMMCMXCIX) and has no symbol for zero, a philosophical gap the Romans never filled. Despite that, Roman numerals survive today on clock faces, book chapters, film credits, monarchs and popes, and sporting events like the Super Bowl. This converter translates in both directions, with validation that rejects invalid sequences such as IIII or VV.
The Roman Numeral Symbols
| Symbol | Value | Subtractive form |
|---|---|---|
| I | 1 | IV = 4, IX = 9 |
| V | 5 | — |
| X | 10 | XL = 40, XC = 90 |
| L | 50 | — |
| C | 100 | CD = 400, CM = 900 |
| D | 500 | — |
| M | 1000 | — |
Only I can precede V and X; only X can precede L and C; and only C can precede D and M. This is the rule that keeps 9 written as IX, never as VIIII.
Can You Write Decimals in Roman Numerals?
No. There is no standard Roman numeral for 1.5, 0.5, 2.5 or any other decimal. The system has no decimal point and no symbol for a fraction of the unit, so a number like 1.5 simply has no correct Roman form. Any page that offers you one is inventing it.
That is not the same as saying the Romans could not handle fractions. They could, and they did it in base 12. For whole numbers they counted in tens, but for fractions they worked in twelfths, because 12 divides evenly by 2, 3, 4 and 6, so halves, thirds and quarters all come out exact, where a base-10 fraction leaves repeating digits. The unit they divided was the as, and a twelfth of it was an uncia, the source of the English words inch and ounce.
The notation was built from two marks, exactly like the tally used for whole numbers:
- A dot (•) meant one twelfth. Dots were repeated up to five twelfths, so •• was 2/12 and ••• was 3/12, or one quarter.
- S, short for semis ("half"), meant six twelfths. Dots placed after it added twelfths on top: S• was 7/12, S•• was 8/12 (two thirds), and so on up to S••••• for 11/12.
Values that fell between twelfths had their own symbols: a twenty-fourth (semuncia), a forty-eighth (sicilicus), a seventy-second (sextula). That's how the Romans avoided the fractions a duodecimal system cannot express. None of this adds up to a general way of writing decimal numbers: it is a set of conventions for quantities, and it is why a figure like 2.5 only appears in the historical record attached to a specific thing. The sestertius, a Roman coin worth two and a half asses, was written IIS, a genuine "2½" and about as close as the system gets.
This calculator therefore works with whole numbers from 1 to 3999, the domain where standard Roman numerals are unambiguous. There is no decimal notation for it to convert to.
Common Use Cases
Clock faces
Many analog clocks, especially luxury and classic models, number their hours with I through XII.
Book chapters and volumes
Chapters, prefaces, appendices, and multi-volume works are numbered with Roman numerals (Volume III).
Annual events and sports
The Super Bowl, Olympic Games, and similar recurring events use Roman numerals in their official titles.
Monarchs and popes
Regnal names like Elizabeth II, Louis XIV, or Benedict XVI use Roman numerals to distinguish rulers.
Design and film credits
Film release years, posters, logos, and certificates often render years in Roman numerals for style.
Education and trivia
Learning the system is a common exercise in history and math classes, and in trivia and puzzle culture.
Frequently Asked Questions
How do you write 1994 in Roman numerals?
1994 is MCMXCIV. Break it down: M = 1000, CM = 900, XC = 90, and IV = 4. It is a common example because it combines three subtractive pairs in one number.
Why is 4 written as IV instead of IIII?
The subtractive notation writes a smaller numeral before a larger one to mean subtraction, so 4 = IV (5 − 1) and 9 = IX (10 − 1). It was adopted to keep numerals shorter and clearer. One notable exception: many traditional clock faces still use IIII for 4, partly for visual balance and partly by long-standing convention.
What is 1.5 in Roman numerals?
There is no Roman numeral for 1.5. Roman numerals express whole numbers only. There is no decimal point and no symbol that means "one and a half" on its own. Historically you could write one and a half as I S (one, plus semis for a half), but that is a fraction notation for describing quantities, not a general decimal system, and it is not the same as a Roman numeral for 1.5. The same answer applies to 0.5, 2.5 and every other decimal.
How did the Romans write fractions?
In base 12. Whole numbers were counted in tens, but fractions were counted in twelfths (unciae), because 12 divides evenly by 2, 3, 4 and 6. A dot meant one twelfth and dots were repeated up to five; the letter S (semis) meant half, or six twelfths, and further dots were added after it: S••••• was eleven twelfths. Fractions smaller than a twelfth used their own symbols. It is the same preference for twelve that still shapes our clocks and our "dozen".
What is 0 in Roman numerals?
There is no Roman numeral for zero. The Roman numeral system was designed for counting and record-keeping, not arithmetic, and never introduced a zero symbol. The concept of zero arrived in Europe centuries later with Arabic numerals. This converter therefore accepts values from 1 upwards, which is the natural domain of Roman numerals.
What is the highest number you can write in Roman numerals?
In standard notation the maximum is 3999 = MMMCMXCIX. To represent larger values, the ancient Romans used a vinculum, a horizontal bar above a numeral that multiplies it by 1000, so a barred IV means 4000. This converter follows the standard form and is limited to 1–3999 to guarantee unambiguous results.
Where are Roman numerals still used today?
They appear on clock faces, in book chapters and volume numbers, film release years in credits, the names of monarchs and popes (Henry VIII, John Paul II), copyright years on some monuments and buildings, and recurring annual events such as the Super Bowl. Developers also convert years to Roman numerals when generating titles, certificates, or themed content programmatically.