Solution - Roman numeral to integer

874

874

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Step-by-step explanation

1. Parse Roman numeral to integer input

$D ℂ C L X X I V$

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

2. Expand Roman tokens into values

$D = 500$

$C = 100$

$L = 50$

$X = 10$

$I V = 4$

$D (500) + C (100) + C (100) + C (100) + L (50) + X (10) + X (10) + I V (4) = 500 + 100 + 100 + 100 + 50 + 10 + 10 + 4$

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

$500 + 100 + 100 + 100 + 50 + 10 + 10 + 4 = 874$

$D ℂ C L X X I V = 874$

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