🔤Roman Numeral Converter

This Roman numeral converter lets you convert numbers to Roman numerals and back in both directions. Type any Arabic number from 1 to 3999 to get its Roman numeral, or enter a Roman numeral like MMXXIV to decode it into an Arabic number. Roman numerals are one of the oldest number systems still in regular use, appearing on clock faces, Super Bowl titles, film credits, building cornerstones, and royal names. Understanding the rules takes only a few minutes and opens a direct connection to ancient Rome.

How to Convert Numbers to Roman Numerals

Converting an Arabic number to Roman numerals is a process of repeated subtraction using the seven standard values from largest to smallest.

• Start with the largest Roman numeral value that fits into your number.
• Write its symbol and subtract its value from the number.
• Repeat with the remainder until the number reaches zero.

Example: Convert 2024. Subtract 1000 (M), remainder 1024. Subtract 1000 (M), remainder 24. Subtract 10 (X), remainder 14. Subtract 10 (X), remainder 4. Subtract 4 (IV, the subtractive combination for 4), remainder 0. Result: MMXXIV.

The seven base symbols are: I = 1, V = 5, X = 10, L = 50, C = 100, D = 500, M = 1000. Six special subtractive combinations handle the values just below a major symbol: IV = 4, IX = 9, XL = 40, XC = 90, CD = 400, CM = 900. These 13 values are all you need to build any number from 1 to 3999.

Roman Numeral Chart and Translation Guide

Subtractive notation is the key concept that makes Roman numerals compact. Whenever a smaller symbol precedes a larger one, you subtract rather than add. The six permitted subtractive pairs follow strict rules:

• I can appear before V (making IV = 4) and before X (making IX = 9).
• X can appear before L (making XL = 40) and before C (making XC = 90).
• C can appear before D (making CD = 400) and before M (making CM = 900).
• V, L, and D cannot be used subtractively under any standard Roman numeral rules.

Additive notation stacks symbols of equal or descending value: III = 3, LXVI = 66, DCCCXL = 840. No symbol may be repeated more than three times in a row. This is why 4 is IV rather than IIII, and why 40 is XL rather than XXXX.

To read an unfamiliar Roman numeral, scan left to right and check each pair: if the current symbol is smaller than the next, treat the pair as a subtractive combination and add the difference. Otherwise add the current symbol's value.

What Year Is MMXXIV in Roman Numerals?

MMXXIV = 2024. Breaking it down: MM = 2000, XX = 20, IV = 4, total = 2024. Here are a few other years you may encounter:

• MCMXCIX = 1999 (frequently seen at the end of films made that year).
• MMI = 2001.
• MMXVI = 2016 (Super Bowl 50 was the only one not to use Roman numerals; Super Bowl LI followed in 2017).
• MMXXV = 2025.
• MMMCMXCIX = 3999 (the largest number representable in standard Roman notation).

Film and television productions traditionally place the production year in Roman numerals at the end of credits, making this translation one of the most common real-world uses of the system.

Where Roman Numerals Are Still Used Today

Despite being over two thousand years old, Roman numerals remain in active use across several contexts.

• Clock and watch faces. Traditional timepieces use Roman numerals for elegance. Many use IIII rather than IV for the four o'clock position, a stylistic choice predating standardized subtractive notation and considered acceptable on clock faces.
• Super Bowl numbering. The NFL has used Roman numerals for Super Bowl titles since the early 1970s, creating an association between the numerals and prestige. Super Bowl LX takes place in 2026.
• Monarchs and popes. Rulers who share a name are distinguished by ordinal Roman numerals: Henry VIII, Pope Francis I, Elizabeth II. The numeral signals succession without requiring the full regnal name.
• Books and formal outlines. Chapter numbers in academic texts and the top-level sections of legal or formal outlines traditionally use Roman numerals.
• Building cornerstones. Architects inscribe completion years in Roman numerals on buildings for permanence and tradition. Spotting MCMLXII on a cornerstone tells you the building was completed in 1962.

Limitations of Roman Numerals Compared to Arabic Notation

Roman numerals have no symbol for zero, which made positional arithmetic impossible. Multiplication and division in Roman numerals required abacus tools rather than written calculation. The system also tops out at 3,999 under standard rules. Ancient Rome extended the system with a bar placed over a symbol to multiply its value by 1,000 (a vinculum), but this notation is rarely encountered today. The decimal system, with its positional notation and concept of zero derived from ancient India, eventually replaced Roman numerals for commerce and science precisely because written arithmetic became so much simpler.