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Roman To Arabic Converter Calculator

Work out roman to arabic converter instantly with clear inputs, formula shown and shareable results.

About Roman To Arabic Converter Calculator

Roman numerals use subtractive notation: a smaller symbol before a larger one is subtracted, so MCMXCIV is 1000 + (1000-100) + (100-10) + (5-1) = 1994. Building the other direction works greedily through the value table, which is why 2026 becomes MMXXVI. The system has no zero and conventionally stops at 3999.

Formulas

Subtractive rule

a smaller symbol before a larger one is subtracted, e.g. IX = 9

Symbol values

I 1, V 5, X 10, L 50, C 100, D 500, M 1000

Worked example

With the default values below, Roman To Arabic Converter Calculator returns Arabic Value Of The Numeral of 1,994. Change any input above and every figure here is recalculated in your browser.

Inputs used

Roman numeral
MCMXCIV
Or an Arabic number to convertaccepts 1–3,999
2,026

Results

Arabic Value Of The Numeral
1,994
Roman Numeral For The Number
MMXXVI
Characters In The Numeral Entered
7
Number Converted
2,026

Step by step

  1. 1Values used
  2. 2Subtractive rule
  3. 3Symbol values
  4. 4Arabic Value Of The Numeral= 1,994
  5. 5Roman Numeral For The Number= MMXXVI
  6. 6Characters In The Numeral Entered= 7
  7. 7Number Converted= 2,026

Assumptions and limits

  • The result is derived only from the 2 inputs listed above. Anything not among them is not part of the calculation.
  • In particular, this calculator does not take inflation, tax, fees or charges or compounding frequency into account.
  • Figures are rounded for display to whole numbers, so totals built from several rounded parts can differ slightly from the unrounded arithmetic.

How these calculators are built and tested is described on the Methodology page. If a figure looks wrong, please report it.

Frequently Asked Questions

Why stop at 3999?

Because 4000 would need four Ms, which the standard subtractive form forbids. Larger numbers used an overbar meaning times a thousand.

Is IIII ever valid?

It appears on clock faces for visual balance, but standard notation requires IV. Both were used historically.

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