Roman Numeral Converter

Formula: Map values: M=1000, D=500, C=100, L=50, X=10, V=5, I=1 with subtractive notation

Roman Numeral Converter

Roman numerals are a numeral system from ancient Rome that remains in use today for various formal and traditional purposes.

Conversion Formula

Map values: M=1000, D=500, C=100, L=50, X=10, V=5, I=1 with subtractive notation

The algorithm greedily subtracts the largest possible Roman numeral value repeatedly: 1000(M), 900(CM), 500(D), 400(CD), 100(C), 90(XC), 50(L), 40(XL), 10(X), 9(IX), 5(V), 4(IV), 1(I).

Step-by-Step Examples

2024 = MMXXIV

2000(MM) + 20(XX) + 4(IV)

1999 = MCMXCIX

1000(M) + 900(CM) + 90(XC) + 9(IX)

Frequently Asked Questions

How do Roman numerals work?

Roman numerals use letters (I=1, V=5, X=10, L=50, C=100, D=500, M=1000). Placing a smaller numeral before a larger one means subtraction (IV=4, IX=9).

What is the largest Roman numeral?

Using standard notation, the largest is 3999 (MMMCMXCIX). Larger numbers historically used bars over letters to multiply by 1000.

Why is 4 written as IV and not IIII?

Subtractive notation (IV) became standard for brevity, though IIII was used historically and still appears on many clock faces.

Is there a Roman numeral for zero?

No. The Roman numeral system has no symbol for zero. The concept of zero was introduced later by Indian mathematicians.

Where are Roman numerals still used?

Clock faces, movie copyright dates, Super Bowl numbering, book chapter headings, and formal document outlines.