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Solution - Roman numeral to integer

3,574
3,574

Other Ways to Solve

Roman numeral to integer

Step-by-step explanation

1. Parse Roman numeral to integer input

MMMDLXXIV

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

2. Expand Roman tokens into values

M=1000

M=1000

M=1000

D=500

L=50

X=10

X=10

IV=4

M(1000)+M(1000)+M(1000)+D(500)+L(50)+X(10)+X(10)+IV(4)=1000+1000+1000+500+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

1000+1000+1000+500+50+10+10+4=3574

MMMDLXXIV=3574

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.