Roman Numeral Converter

Convert between Arabic numbers (including decimals) and Roman numerals instantly.

Notation for large numbers (integers only)

Result:

How to Use This Converter

  1. Number to Roman: Enter a whole or decimal number (e.g., 1984, 42.5). The fractional part will be converted to the nearest twelfth. For large integers, select the "Vinculum" notation.
  2. Roman to Number: Type a valid Roman numeral using standard, whole-number notation. This converter does not parse fractional Roman numerals (like S or ·) or overlined (Vinculum) characters.
  3. Instant Results: The conversion appears instantly in the result box.
  4. Use Your Keyboard: Press 'Enter' after typing to perform the conversion.

How Roman Numerals Work

Character Values (Integers)

Symbol Value
I1
V5
X10
L50
C100
D500
M1000

Key Rules for Integers

  • Addition: Symbols of lesser value after greater ones are added.
    (e.g., VI = 5 + 1 = 6)
  • Subtraction: A symbol of lesser value before a greater one is subtracted.
    (e.g., IV = 5 - 1 = 4)
  • Repetition: A symbol can be repeated up to three times.
    (e.g., III = 3, CCC = 300)
  • Vinculum (Overline): A bar over a numeral multiplies its value by 1,000.
    (e.g., V = 5,000)

Fractions (Unciae)

The Romans based their fractions on a system of twelfths called unciae. A dot (·) represented one uncia (1/12), and the symbol 'S' (for semis) represented a half. Other fractions were combinations of these.

Symbol Value Symbol Value
·1/12 7/12
··2/12 (1/6) S··8/12 (2/3)
···3/12 (1/4) S···9/12 (3/4)
····4/12 (1/3) S····10/12 (5/6)
·····5/12 S·····11/12
S6/12 (1/2) --

A Note on Apostrophus Notation

Another ancient method, the Apostrophus system, used symbols like `CIƆ` (for 1,000) and `IƆ` (for 500) to write large numbers. This system is more complex and less standardized than the Vinculum method. Due to its rarity in modern usage, this converter does not support Apostrophus notation.