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Notation Conversion

Roman Numeral Converter

Convert numbers to Roman numerals or translate Roman numerals into Arabic integers instantly.

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Result Output

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History & Rules

Understanding
Roman Numerals

Roman numerals are a system of numerical notation used by the ancient Romans. Numbers in this system are represented by combinations of letters from the Latin alphabet.

Roman SymbolDecimal ValueDescription
I1Unus
V5Quinque
X10Decem
L50Quinquaginta
C100Centum
D500Quingenti
M1000Mille

Fundamental Rules of Roman Numerals

Roman numerals rely on specific additive and subtractive rules:

  • Additive Rule: If a symbol is placed after a larger or equal symbol, its value is added. E.g., VIII = 5 + 1 + 1 + 1 = 8; XV = 10 + 5 = 15.
  • Subtractive Rule: If a smaller symbol is placed before a larger symbol, its value is subtracted. E.g., IV = 5 - 1 = 4; IX = 10 - 1 = 9; XC = 100 - 10 = 90.
  • Limits on Repetition: A symbol can be repeated at most three times consecutively. For example, IIII is not used; instead, write IV.

Typical Conversion Examples

Here are some common Roman numeral values for reference:

  • 1994: MCMXCIV (M = 1000, CM = 900, XC = 90, IV = 4)
  • 2024: MMXXIV (M + M = 2000, X + X = 20, IV = 4)
  • 3999: MMMCMXCIX (The highest standard numeral without using overlines)

How the calculation works

Roman numerals add values, except when a smaller value is written before a larger one and is subtracted.

I=1, V=5, X=10, L=50, C=100, D=500, M=1,000

Subtract only powers of ten, and only from the next two higher symbols. 4 is IV, not IIII, in the modern form.

Worked example: 2026

  1. 2000 = MM.
  2. 20 = XX.
  3. 6 = VI.
  4. 2026 = MMXXVI.

Roman numerals

NumberRoman
4IV
9IX
2026MMXXVI

Frequently asked questions

How is 2026 written in Roman numerals?▼
MMXXVI.
Why is 4 written IV?▼
I before V means 5 − 1.
What is the standard range of this converter?▼
The usual classical form covers 1 through 3,999.