Roman Numeral Converter

Number	Roman	Number	Roman	Number	Roman
1	I	10	X	100	C
2	II	20	XX	200	CC
3	III	30	XXX	300	CCC
4	IV	40	XL	400	CD
5	V	50	L	500	D
6	VI	60	LX	600	DC
7	VII	70	LXX	700	DCC
8	VIII	80	LXXX	800	DCCC
9	IX	90	XC	900	CM
				1000	M

Using this table, any number up to 3,999 can be constructed by combining one entry from each column. For 2,748: MM (2000) + DCC (700) + XL (40) + VIII (8) = MMDCCXLVIII.

Where Roman Numerals Are Used Today

Despite being over 2,000 years old, Roman numerals persist in numerous modern contexts.

Clock and watch faces. Many analog clocks use Roman numerals for the hour markers. Interestingly, most clock faces use IIII for four instead of the standard IV. This is believed to be for visual symmetry, as IIII visually balances VIII on the opposite side of the clock face. Both IIII and IV are historically valid representations.

Movie and television production dates. Film and television credits traditionally display the copyright year in Roman numerals. A movie released in 2024 shows MMXXIV. This convention dates back to early Hollywood and continues today, though some productions have switched to Arabic numerals for clarity.

Sporting events. The Super Bowl is the most prominent example, using Roman numerals since Super Bowl V in 1971 (with the exception of Super Bowl 50, which used Arabic numerals because the "L" was considered visually unappealing for marketing). The Olympics and other major sporting events also use Roman numerals for numbering.

Monarchs and popes. Royal and papal names are traditionally numbered with Roman numerals: King Charles III, Pope Francis I, Queen Elizabeth II. This convention distinguishes between historical figures with the same name.

Outlines and lists. Academic and legal writing frequently uses Roman numerals for top-level outline headings (I, II, III) and lowercase Roman numerals for sub-levels (i, ii, iii). Book chapters, constitutional amendments, and legal sections also commonly use Roman numerals.

Architecture and monuments. Building cornerstones often display the construction year in Roman numerals. The date on the Lincoln Memorial reads MDCCCXLVI (1846, Lincoln’s birth year) and inscriptions throughout Washington D.C. and other historic sites use Roman numerals extensively.

Music theory. Roman numerals are used to identify chords within a key. Uppercase numerals (I, IV, V) represent major chords, and lowercase numerals (ii, iii, vi) represent minor chords. A common chord progression like I-V-vi-IV describes the relationship between chords regardless of the specific key.

History of Roman Numerals

The Roman numeral system evolved from the number systems used by the Etruscans, who inhabited the Italian peninsula before the rise of Rome. The earliest Roman numeral inscriptions date to the 8th or 7th century BCE.

The original system was purely additive: four was written as IIII and nine as VIIII. The subtractive notation (IV for 4, IX for 9) was introduced later, possibly in the Middle Ages, to shorten representations. Both additive and subtractive forms coexisted for centuries, and the additive form persists on clock faces to this day.

Roman numerals served the Roman Empire well for commerce, record-keeping, and engineering. However, the system has fundamental limitations. There is no symbol for zero, which makes it impossible to represent placeholder values. Arithmetic operations (addition, subtraction, multiplication, division) are cumbersome compared to positional number systems. Representing very large numbers requires either extending the symbol set or using notation marks (a bar over a numeral multiplies its value by 1,000, so a V with a bar represents 5,000).

The Hindu-Arabic numeral system (0-9 with positional notation) was developed in India by the 6th century CE and transmitted to Europe through Arabic mathematicians. Italian mathematician Fibonacci popularized the system in Europe with his 1202 book Liber Abaci. By the 15th century, Hindu-Arabic numerals had largely replaced Roman numerals for mathematical computation, though Roman numerals retained their ceremonial and decorative roles.

Rules and Limitations

Standard Roman numerals follow specific rules that prevent ambiguity.

No symbol repeats more than three times in succession. III (3) is valid, but IIII (4) is not in standard notation (use IV instead). Similarly, XXX (30) is valid, but XXXX (40) is not (use XL). This rule does not apply to the clock face convention, which is a recognized exception.

Only I, X, and C can be used subtractively. V, L, and D are never placed before a larger numeral. VX is not valid for 5. LC is not valid for 50. The valid subtractive pairs are: IV, IX, XL, XC, CD, CM.

A subtractive numeral can only appear before the next two higher symbols. I can precede V and X (making IV and IX). X can precede L and C (making XL and XC). C can precede D and M (making CD and CM). But I cannot precede L, C, D, or M directly.

The maximum standard Roman numeral is 3,999 (MMMCMXCIX). Without extensions, the system cannot represent 4,000 or higher because MMMM would violate the three-repetition rule. Historical extensions using bars or other notation marks exist for larger numbers, but they are not part of modern standard usage.

There is no Roman numeral for zero. The concept of zero did not exist in Roman mathematics. Roman numerals represent counting numbers only. The Latin word "nulla" was sometimes used to indicate an empty value, but it had no numeral representation.

These rules ensure that every number from 1 to 3,999 has exactly one correct Roman numeral representation, making conversion between the two systems completely unambiguous. This converter enforces these rules and flags invalid input.

Use our Number to Words Converter for converting numbers to written English words, and our Percentage Calculator for quick percentage math.

Frequently Asked Questions

What is 2024 in Roman numerals?

2024 in Roman numerals is MMXXIV. This breaks down as: MM (2000) + XX (20) + IV (4). You will see this numeral at the end of movies and TV shows released in 2024.

What is the largest number you can write in Roman numerals?

Using the standard seven symbols without extensions, the largest number is 3,999, written as MMMCMXCIX. Historical extensions allow larger numbers by placing a bar over a numeral to multiply it by 1,000 (so a bar over V represents 5,000), but these are not commonly used in modern contexts.

Why do clocks use IIII instead of IV?

Several theories exist. The most popular is visual symmetry: IIII on the left balances VIII on the right. Another theory is that IV represents the first letters of IVPITER (Jupiter), the king of Roman gods, and using his name on a common object was considered disrespectful. Practically, using IIII means a clockmaker needs twenty I characters, four V characters, and four X characters, allowing all twelve numerals to be cast from the same mold of four characters each.

How do you write zero in Roman numerals?

There is no Roman numeral for zero. The Roman number system predates the concept of zero as a number. The word "nulla" (Latin for "nothing") was occasionally used in medieval texts where a zero value needed to be indicated, but it was never given a standard symbol.

What is the Roman numeral for 50?

The Roman numeral for 50 is L. This is one of the seven base symbols. Numbers around 50 use L as the base: 40 = XL, 45 = XLV, 48 = XLVIII, 50 = L, 55 = LV, 59 = LIX, 60 = LX.

Can you do math with Roman numerals?

Basic addition and subtraction are possible but cumbersome. Multiplication and division are impractical with Roman numerals, which is why the Hindu-Arabic system replaced them for computation. Roman numerals work well for labeling, numbering, and display, but not for calculation.

What year is MCMLXXXIV?

MCMLXXXIV is 1984. Breaking it down: M (1000) + CM (900) + LXXX (80) + IV (4) = 1984. This is a commonly referenced year in Roman numerals due to the famous novel by George Orwell.

Are lowercase Roman numerals valid?

Yes. Lowercase Roman numerals (i, ii, iii, iv, etc.) are commonly used for page numbering in book prefaces, sub-level outline headings, and chord notation in music theory. They represent the same values as their uppercase equivalents.

Data accurate as of: March 2026