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Roman numerals converter

Convert a number to Roman numerals, or a Roman numeral to a number. Numbers from 1 to 3999 are supported. The steps are shown.

Worked example

With the values shown above when the page opens:

1994 = MCMXCIV

  1. 1994 − 1000 → M
  2. 994 − 900 → CM
  3. 94 − 90 → XC
  4. 4 − 4 → IV

How it works

  • The symbols are I = 1, V = 5, X = 10, L = 50, C = 100, D = 500 and M = 1000.
  • Symbols are added from largest to smallest: XVI = 10 + 5 + 1 = 16.
  • A smaller symbol before a larger one is subtracted: IV = 4, IX = 9, XL = 40, XC = 90, CD = 400, CM = 900.
  • The same symbol is never repeated more than three times in a row, which is why 4 is IV and not IIII.

Questions

Why does the converter stop at 3999?

Standard Roman numerals have no symbol above M (1000) and cannot repeat it more than three times. Larger numbers used a bar over the letters.

Is there a Roman numeral for zero?

No. The Romans had no symbol for zero.

Why is 1994 MCMXCIV?

M = 1000, CM = 900, XC = 90, IV = 4, and 1000 + 900 + 90 + 4 = 1994.

Related

Calculators are for learning and quick checks. Check important figures yourself, and do not rely on them for tax, legal or financial decisions.