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Roman Numeral Converter

Convert both ways โ€” 2026 to MMXXVI and back โ€” with steps shown.

Result
MMXXVI
Step-by-step
  1. 2026 >= 1000 (M) -> append "M", remainder 1026
  2. 1026 >= 1000 (M) -> append "M", remainder 26
  3. 26 >= 10 (X) -> append "X", remainder 16
  4. 16 >= 10 (X) -> append "X", remainder 6
  5. 6 >= 5 (V) -> append "V", remainder 1
  6. 1 >= 1 (I) -> append "I", remainder 0

How Roman Numerals Work

Roman numerals use seven letters โ€” I, V, X, L, C, D, M โ€” for 1, 5, 10, 50, 100, 500, and 1000. Values are normally added left to right, but a smaller value before a larger one means subtraction: IV is 4, IX is 9, XL is 40, CM is 900.

The Subtractive Rule

  • Only I, X, and C can be used subtractively (IV, IX, XL, XC, CD, CM).
  • V, L, D are never subtracted.
  • No symbol repeats more than three times in a row (so 4 is IV, not IIII).

Converting Step by Step

To convert 2026: take the largest symbol that fits โ€” M (1000) twice leaves 26; then X (10) twice leaves 6; then V (5) leaves 1; then I. Result: MMXXVI. The converter above shows this greedy breakdown for every number, and reverses the process just as easily.

Where You Still See Them

Clock faces, book chapters, movie sequels, monarch names (Elizabeth II), and sporting events (Super Bowl LX) all use Roman numerals. For other bases, try our binary/hex converter or spell numbers out with the number to words converter.

Frequently Asked Questions

What are the Roman numeral rules?

I=1, V=5, X=10, L=50, C=100, D=500, M=1000. Symbols add left to right, except a smaller symbol before a larger one subtracts (IV=4, IX=9, XL=40, XC=90, CD=400, CM=900).

What is the largest Roman numeral?

In standard form, 3,999 (MMMCMXCIX). Larger values need overline notation, which this converter does not use.

How do you convert 2026 to Roman numerals?

2026 = 1000 + 1000 + 10 + 10 + 5 + 1 = MMXXVI.

Is this Roman numeral converter free?

Yes โ€” every tool on Math Solver Free is free with no sign-up, and all calculations run in your browser.