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Solution - Roman numeral to integer

1,549
1,549

Other Ways to Solve

Roman numeral to integer

Step-by-step explanation

1. Parse Roman numeral to integer input

MDXLIX

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

2. Expand Roman tokens into values

M=1000

D=500

XL=40

IX=9

M(1000)+D(500)+XL(40)+IX(9)=1000+500+40+9

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+40+9=1549

MDXLIX=1549

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

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.