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Daily Dose of Utilities

Roman Numeral Converter

Roman numerals are built from I (1), V (5), X (10), L (50), C (100), D (500) and M (1000), taking the largest values first — 1994 becomes MCMXCIV (1000 + 900 + 90 + 4).

Result

MCMXCIV

Show the math

  1. 1

    Take out M (1000)

    1994 − 1000 = 994

    M represents 1000.

    = M

Read the steps as text
  1. Take out M (1000). 1994 − 1000 = 994 M represents 1000.
  2. Take out CM (900). 994 − 900 = 94 CM represents 900.
  3. Take out XC (90). 94 − 90 = 4 XC represents 90.
  4. Take out IV (4). 4 − 4 = 0 IV represents 4.

How a number becomes Roman numerals

The converter repeatedly takes out the largest possible value's symbol until nothing is left. It works through the values from largest to smallest — including the 'subtractive' pairs like CM (900) and IV (4) — so that, for example, 1994 is built as M (1000) + CM (900) + XC (90) + IV (4) = MCMXCIV.

The subtractive pairs (IV, IX, XL, XC, CD, CM) exist so that no symbol is ever repeated more than three times in a row — Romans wrote 4 as IV rather than IIII.

Converting Roman numerals back to numbers

Reading a Roman numeral works left to right: if a symbol's value is smaller than the one right after it, it's subtracted rather than added — that's what makes IV mean 4 (1 before 5) rather than 6. This calculator also checks that what you typed is a valid, canonical Roman numeral, rejecting non-standard forms like IIII or VX.

Frequently asked questions

What is the largest number Roman numerals can represent here?
3,999 (MMMCMXCIX). Standard Roman numerals don't have a symbol for numbers of 4,000 or more without extra notation, so this converter is limited to 1–3999.
Why is 4 written as IV instead of IIII?
Roman numeral convention avoids repeating a symbol more than three times in a row. Instead, a smaller value placed before a larger one means subtraction, so IV (1 before 5) means 4.
Is 'IIII' ever correct?
Not in standard modern usage, though it does appear historically, particularly on some clock faces. This converter follows the standard subtractive-notation rules and won't accept it as valid input.

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