Solution - Roman numeral to integer

3, 433

3,433

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Step-by-step explanation

1. Parse Roman numeral to integer input

$M M M C D X X X I I I$

Parse and normalize the Roman numeral input, then validate its canonical form and range.

2. Expand Roman tokens into values

$M = 1000$

$C D = 400$

$X = 10$

$I = 1$

$M (1000) + M (1000) + M (1000) + C D (400) + X (10) + X (10) + X (10) + I (1) + I (1) + I (1) = 1000 + 1000 + 1000 + 400 + 10 + 10 + 10 + 1 + 1 + 1$

Scan the Roman numeral left-to-right, convert each token (single symbol or subtractive pair) into a numeric value, and prepare the additive expansion.

3. Conclude integer result

$1000 + 1000 + 1000 + 400 + 10 + 10 + 10 + 1 + 1 + 1 = 3433$

$M M M C D X X X I I I = 3433$

Add the expanded values to get the final integer and restate the canonical Roman-to-integer equality.

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Why learn this

Learn more with Tiger

Roman numerals still appear in clocks, chapter headings, outlines, and events. Converting them quickly helps in everyday reading and interpretation.

Terms and topics

Roman numeral to integer