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Roman to Integer

Convert Roman Numerals back to standard decimal numbers. Decipher ancient dates and numbers.

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Applications

Reading ancient inscriptions and monuments, deciphering movie copyright years (MMXXIV), converting clock-face numerals, and understanding academic numbering systems used in outlines, legal documents, and chemistry oxidation states.

The Subtraction Principle

Roman numerals use seven symbols (I=1, V=5, X=10, L=50, C=100, D=500, M=1000). Numbers are formed by combining symbols from largest to smallest. When a smaller symbol appears before a larger one, it is subtracted (e.g., IV = 4). The six subtractive pairs are IV, IX, XL, XC, CD, CM. Standard numerals cannot reuse a symbol more than three times consecutively and cannot exceed 3,999 (MMMCMXCIX).

Fun Fact: The maximum Roman numeral in standard form is MMMCMXCIX (3999). Numbers beyond that used a vinculum — a bar above a letter multiplied its value by 1,000. The Romans themselves often wrote 4 as 'IIII' — the subtractive 'IV' became standard only during the medieval period!

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