Solution - Roman numeral to integer

1, 741

1,741

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Step-by-step explanation

1. Parse Roman numeral to integer input

$M D ℂ X L I$

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

2. Expand Roman tokens into values

$M = 1000$

$D = 500$

$C = 100$

$X L = 40$

$I = 1$

$M (1000) + D (500) + C (100) + C (100) + X L (40) + I (1) = 1000 + 500 + 100 + 100 + 40 + 1$

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

$1000 + 500 + 100 + 100 + 40 + 1 = 1741$

$M D ℂ X L I = 1741$

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