Solution - Roman numeral to integer

3, 528

3,528

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Step-by-step explanation

1. Parse Roman numeral to integer input

$M M M D X X V I I I$

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

2. Expand Roman tokens into values

$M = 1000$

$D = 500$

$X = 10$

$V = 5$

$I = 1$

$M (1000) + M (1000) + M (1000) + D (500) + X (10) + X (10) + V (5) + I (1) + I (1) + I (1) = 1000 + 1000 + 1000 + 500 + 10 + 10 + 5 + 1 + 1 + 1$

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

$1000 + 1000 + 1000 + 500 + 10 + 10 + 5 + 1 + 1 + 1 = 3528$

$M M M D X X V I I I = 3528$

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

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Why learn this

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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