Roman Numeral Converter
Convert between Roman numerals and Arabic numbers. Learn how Roman numerals work with step-by-step breakdowns.
Formula:I=1, V=5, X=10, L=50, C=100, D=500, M=1000
Conversion Result
Roman Numeral
MMXXIV
Breakdown: M + M + X + X + IV
Conversion Direction
Enter Arabic Number
Enter a number between 1 and 3999
Step-by-Step Breakdown
M=1000
M=1000
X=10
X=10
IV=4
Total2024
Roman Numeral Reference
I
1
V
5
X
10
L
50
C
100
D
500
M
1000
Subtractive Combinations
IV
4
IX
9
XL
40
XC
90
CD
400
CM
900
Common Numbers
Roman Numeral Rules
1. Addition Rule
When a smaller numeral follows a larger one, add them: VI = 5 + 1 = 6
2. Subtraction Rule
When a smaller numeral precedes a larger one, subtract: IV = 5 - 1 = 4
3. Repetition Limit
I, X, C, M can repeat up to 3 times. V, L, D never repeat.
4. Subtraction Pairs
Only I (before V, X), X (before L, C), and C (before D, M) are subtracted.
Conversion Result
Roman Numeral
MMXXIV
Breakdown: M + M + X + X + IV
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?How Do You Convert Roman Numerals?
Roman numerals use letters: I=1, V=5, X=10, L=50, C=100, D=500, M=1000. Add values when equal or smaller follows larger (VI=6). Subtract when smaller precedes larger (IV=4, IX=9). Example: MCMLXXXIV = M(1000) + CM(900) + L(50) + XXX(30) + IV(4) = 1984. Maximum using standard notation is 3,999 (MMMCMXCIX).
What are Roman Numerals?
Roman numerals are a numeral system originating in ancient Rome using combinations of letters (I, V, X, L, C, D, M) to represent numbers. Unlike positional systems like Arabic numerals, Roman numerals use additive and subtractive combinations. They are still used today for clocks, copyrights, movie releases, outlines, and formal numbering.
Key Facts About Roman Numerals
- Basic symbols: I=1, V=5, X=10, L=50, C=100, D=500, M=1000
- Additive rule: equal or smaller after larger = add (VII = 7)
- Subtractive rule: smaller before larger = subtract (IV = 4, IX = 9)
- Only I, X, C can be used for subtraction (before V/X, L/C, D/M respectively)
- Maximum of 3 same symbols in a row (III ok, IIII not standard)
- No symbol for zero in Roman numerals
- Modern usage: movie dates, Super Bowls, clock faces, book chapters
- Standard notation covers 1 to 3,999 (larger numbers use overlines)
Quick Answer
Roman numerals use letters: I=1, V=5, X=10, L=50, C=100, D=500, M=1000. Add values when equal or smaller follows larger (VI=6). Subtract when smaller precedes larger (IV=4, IX=9). Example: MCMLXXXIV = M(1000) + CM(900) + L(50) + XXX(30) + IV(4) = 1984. Maximum using standard notation is 3,999 (MMMCMXCIX).
Frequently Asked Questions
Roman numerals are a number system from ancient Rome using letters: I (1), V (5), X (10), L (50), C (100), D (500), M (1000). Numbers are formed by combining these letters. They were used throughout the Roman Empire and are still used today for clocks, outlines, and dates.
Roman numerals are generally added left to right (VI = 5+1 = 6). However, a smaller numeral before a larger one means subtraction (IV = 5-1 = 4, IX = 10-1 = 9). Only I, X, and C can be used for subtraction, and only immediately before the next two larger values.
Standard Roman numerals go up to 3999 (MMMCMXCIX). For larger numbers, ancient Romans used a bar over the numeral to multiply by 1000 (V̄ = 5000). Some systems use different conventions for very large numbers.
IV (4) uses subtractive notation - placing I before V means 5-1=4. This was adopted for brevity. However, IIII is sometimes seen on clock faces (called "watchmaker's four") for visual balance and tradition.
No, Roman numerals have no symbol for zero. The Romans didn't have a concept of zero as a number. This is one reason why Roman numerals were eventually replaced by Arabic numerals (which include zero) for calculations.
Last updated: 2025-01-15
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How this works
Formulas follow standard definitions from the NIST Digital Library of Mathematical Functions and classical textbook derivations. Calculations run entirely in your browser. Where a closed-form solution exists, it is used; where an iterative or numerical method is required, the implementation is named on the page.
Sources
- [1]NIST Digital Library of Mathematical FunctionsAcademicdlmf.nist.govAccessed Apr 21, 2026
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Conversion Result
Roman Numeral
MMXXIV
Breakdown: M + M + X + X + IV