Roman Numeral Converter
Type either a number or a Roman numeral — it works out which you meant and converts. The breakdown shows exactly which symbols contributed what, including the subtractive pairs that trip people up.
Input
Enter 1994 or MCMXCIV — either is recognised automatically.
The seven symbols
I = 1, V = 5, X = 10, L = 50, C = 100, D = 500, M = 1,000. Every Roman numeral is built from these, largest first, adding as you go — except where subtraction applies.
The subtractive rule, stated precisely
A smaller symbol before a larger one means subtract, but only in six specific pairs: IV (4), IX (9), XL (40), XC (90), CD (400) and CM (900). I can only precede V and X; X can only precede L and C; C can only precede D and M. V, L and D never subtract at all.
This is why IC is not 99 — a common guess, and invalid. 99 is XCIX: ninety (XC) followed by nine (IX). The validator above rejects malformed input rather than guessing at an intent.
Why 1994 is MCMXCIV
Split by place value: 1000 + 900 + 90 + 4. That is M + CM + XC + IV. Reading it left to right without decomposing it first is what makes long numerals look impenetrable; taking them one place value at a time makes them mechanical.
The limits of the system
Standard Roman numerals stop at 3,999 (MMMCMXCIX), because there is no symbol for 5,000 and M may not be repeated four times. The Romans handled larger values with a vinculum — a bar over a numeral multiplying it by a thousand — which is what the default mode above uses. There is also no zero and no way to write a fraction or a negative, which is precisely why positional decimal notation displaced the system for arithmetic while it survived for dates, monarchs and film credits.
Frequently Asked Questions
Why is 4 written IV and not IIII?
What is the largest Roman numeral?
Is IC a valid way to write 99?
Do Roman numerals have a zero?
Sources
Official publications only. Links open the original document in a new tab.
- National Institute of Standards and Technology Special Publication 811 — Guide for the use of the SI Significant figures and rounding conventions
- National Institute of Standards and Technology CODATA fundamental physical constants Values of the fundamental physical constants