Roman Numerals Converter

Convert numbers between Arabic (1-3999) and Roman numerals using standard subtractive form (IV, IX, XL, XC, CD, CM).

Convert 1-3999 range Bidirectional
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Roman Numerals

1-3999 · standard subtractive form

Instructions — Roman Numerals Converter

1

Type the number

Enter an Arabic number from 1 to 3999 in the top box, or a Roman numeral in the bottom box. Either field updates the other instantly.

2

Pick a preset date

Quick-pick buttons cover famous years: 1066 (Norman conquest), 1492 (Columbus), 1776, 1969 (Moon landing), 2026. Click to fill in.

3

Read the breakdown

The result panel shows each Roman symbol and its decimal value, so you can see exactly how the number breaks into thousands, hundreds, tens and ones.

Formulas

Roman numerals use seven letters in declining value, combined by addition or subtraction.

Seven base symbols
$$ \text{I=1, V=5, X=10, L=50, C=100, D=500, M=1000} $$
The complete Roman alphabet. I, X, C, M can repeat up to three times. V, L, D never repeat.
Additive principle
$$ \text{XII} = 10 + 1 + 1 = 12 $$
Write symbols in decreasing value, left to right. Sum the values.
Subtractive principle
$$ \text{IV}=4, \text{IX}=9, \text{XL}=40, \text{XC}=90, \text{CD}=400, \text{CM}=900 $$
Only six valid pairs. I subtracts from V or X; X from L or C; C from D or M. Never subtract more than once.
Decomposition (1994 → MCMXCIV)
$$ 1994 = 1000 + 900 + 90 + 4 $$
Greedy method: peel off the largest possible symbol at each step. M, then CM (not D + CCCC), then XC, then IV.
Vinculum (over-bar, for > 3999)
$$ \overline{V} = 5{,}000, \quad \overline{X} = 10{,}000 $$
A bar over a symbol multiplies it by 1000. Used in classical inscriptions; our converter stops at 3999 (no vinculum mode).
No zero
$$ 0 \;\text{is not representable} $$
Romans had no zero symbol. The Hindu-Arabic zero only entered Europe via Fibonacci's 1202 Liber Abaci.

Reference

Roman Numerals 1-30
#Roman#Roman#Roman
1I11XI21XXI
2II12XII22XXII
3III13XIII23XXIII
4IV14XIV24XXIV
5V15XV25XXV
6VI16XVI26XXVI
7VII17XVII27XXVII
8VIII18XVIII28XXVIII
9IX19XIX29XXIX
10X20XX30XXX

Roman numerals for common years

YearRomanEvent
753 BCDCCLIIITraditional founding of Rome
476CDLXXVIFall of Western Roman Empire
1066MLXVINorman conquest of England
1492MCDXCIIColumbus reaches the Americas
1776MDCCLXXVIUS Declaration of Independence
1969MCMLXIXApollo 11 Moon landing
2000MMNew millennium
2026MMXXVICurrent year
3999MMMCMXCIXMaximum without vinculum

Article — Roman Numerals Converter

Roman numerals converter: from I to MMMCMXCIX

Roman numerals use seven letters — I, V, X, L, C, D, M for 1, 5, 10, 50, 100, 500, 1000 — combined by addition and subtraction. The system covers 1 through 3999 in standard form. Modern uses include movie copyright dates, book chapter numbers, monarch regnal numbers (Elizabeth II), Super Bowls (Super Bowl LIX) and clock faces.

The decimal we use today won out for arithmetic, but Roman numerals never quite died. They remain the formal choice for dates carved in stone, book front matter (pages i, ii, iii) and any context where Latin gravitas helps. Reading and writing them takes ten minutes of study — and avoids the embarrassment of misnaming a Super Bowl.

Roman numeral symbols

Seven base symbols form the entire system. I = 1, V = 5, X = 10, L = 50, C = 100, D = 500, M = 1000. The letters I, X, C and M may repeat up to three consecutive times (III = 3, XXX = 30, CCC = 300, MMM = 3000). V, L and D never repeat — VV would just be X, so the system disallows it.

  • I = 1 (Latin unus)
  • V = 5 (a shape resembling an open hand, five fingers)
  • X = 10 (two V shapes joined at the points)
  • L = 50 (derived from earlier Etruscan ⊥ shape)
  • C = 100 (Latin centum)
  • D = 500 (half of Φ, an old form of M)
  • M = 1000 (Latin mille)

Additive and subtractive Roman rules

The additive principle: when smaller symbols follow larger ones, you sum them. VII = 5 + 1 + 1 = 7. XXIII = 10 + 10 + 1 + 1 + 1 = 23. MDC = 1000 + 500 + 100 = 1600. Always read left-to-right and add as long as values stay the same or decrease.

The subtractive principle: when a smaller symbol precedes a larger one, subtract instead. IV = 5 - 1 = 4. IX = 10 - 1 = 9. XL = 50 - 10 = 40. XC = 100 - 10 = 90. CD = 500 - 100 = 400. CM = 1000 - 100 = 900. Only six combinations are valid; only I, X and C may be subtracted, and only from the next two higher symbols.

Did you know

The subtractive form is a medieval simplification. Ancient Romans wrote 4 as IIII far more often than IV. The Colosseum still has gate IIII visible above the entrance, and traditional clock faces often use IIII for visual balance with VIII opposite.

How to write any year in Roman numerals

Break the year into thousands, hundreds, tens and ones. Convert each piece separately and concatenate. For 1994: 1000 = M, 900 = CM, 90 = XC, 4 = IV. Result: MCMXCIV. For 2026: 2000 = MM, 20 = XX, 6 = VI. Result: MMXXVI.

Roman numeral place values
1000-3000 M, MM, MMM
400, 500, 900 CD, D, CM
40, 50, 90 XL, L, XC
4, 5, 9 IV, V, IX

Common Roman numerals on monuments

Dates on cornerstones, statues and books are nearly always Roman. The Lincoln Memorial inscription dates the building as MCMXXII (1922). The cornerstone of St Paul's Cathedral reads MDCLXXV (1675). Movie copyright notices follow the same pattern — modern Hollywood uses MMXXVI now that we're in 2026.

Roman numerals also tag monarchs and popes. Queen Elizabeth II is the second Elizabeth (II), King Henry VIII the eighth Henry. Pope Francis is technically Francis I but the I is dropped until a second pope of the same name appears. Super Bowls use sequential Roman numerals from I (1967) to LIX (2025) and counting.

History of Roman numerals

The system evolved from Etruscan tally marks adapted by early Romans. The original I came from a notch on a counting stick. V was likely the V-shape of an open hand showing five fingers; X was two V shapes joined, representing both hands. The 100, 500 and 1000 symbols changed shape over centuries before settling on C, D, M.

Roman numerals dominated European arithmetic until Fibonacci's 1202 Liber Abaci introduced Hindu-Arabic numerals (the 0-9 system we use today). Arithmetic became radically easier: XLVIII × CCLVI is awful; 48 × 256 is straightforward. Roman numerals retreated to labelling and ceremonial use within a few centuries.

Why Roman numerals have no zero

The Romans had no symbol for nothing. The Latin word nullus (nothing) appeared in medieval astronomical tables to indicate empty cells, but never as a positional digit. Without zero, Roman numerals can't be used for place-value arithmetic — there's no way to write something like "thirty-zero-five" (305) as positions.

Hindu mathematicians developed the concept of zero around 458 CE. Arab scholars adopted it. Fibonacci brought it to Europe in 1202. The shift from Roman to Hindu-Arabic numerals — including zero — was the single most important change in Western quantitative reasoning.

Tip

Reading Roman numerals on a movie credit: copyright dates often appear in a small or stylised font. MMXXIV is 2024. MMXXV is 2025. MMXXVI is 2026. The pattern MM + XX + (year-2020) covers every year from 2020 through 2029.

Vinculum: Roman numerals above 3999

Standard Roman numerals stop at 3999 (MMMCMXCIX) because adding a fourth M (MMMM) violates the no-repetition-beyond-three rule, and there's no symbol for 5000. Classical Romans extended the system with a vinculum: an overbar that multiplies the underlying letter by 1000. V̄ = 5000, X̄ = 10,000, M̄ = 1,000,000.

Modern usage rarely needs vinculum. Most Roman numerals you encounter are dates or sequence numbers below 3999. The converter intentionally caps at 3999 to enforce standard form. Numbers above that should use Hindu-Arabic notation.

Common Roman numeral mistakes

The most frequent error is reading subtractive pairs wrong — confusing IV with VI, or CD with DC. The rule: smaller before larger means subtract; larger before smaller means add. Always look at the immediate left neighbour to decide.

The second mistake is over-subtracting. IL is not 49. The valid Roman 49 is XLIX (40 + 9). Only specific subtractive pairs are legal: IV, IX, XL, XC, CD, CM. Anything else (IC, IL, ID, etc.) is wrong. The third common mistake is writing IIII for 4 outside clock-face contexts. Most modern usage prefers IV.

Tattoo proofreading

Memorial dates inked in Roman numerals are a popular but unforgiving medium. Always double-check the conversion before the needle. Double-check both directions before tattooing — for example, MMXXIV is 2024. Run it through the converter twice.

FAQ

2026 = MMXXVI. Breakdown: 2000 = MM, 20 = XX, 6 = VI.
IV uses the subtractive principle: I (1) before V (5) means 5-1 = 4. The form IIII does appear on some clocks (notably Big Ben replicas) but is non-standard. The Romans themselves used both forms historically — IV won by medieval times.
The Romans had no concept of zero as a numeral. The Hindu-Arabic zero entered Europe through Fibonacci's 1202 Liber Abaci and gradually replaced Roman numerals for arithmetic. Roman numerals survive only as labels and dates.
Standard Roman numerals only go up to 3999 (MMMCMXCIX). Larger numbers used the vinculum — a bar over a letter to multiply it by 1000 — but this is rarely used today. Our converter caps at 3999.
MCMXCIV = 1994. Read in chunks: M (1000) + CM (900) + XC (90) + IV (4).
Standard rules: (1) Symbols in decreasing order from left. (2) I, X, C, M may repeat up to three times. (3) V, L, D never repeat. (4) Only I/X/C may be subtracted, and only from the next two higher (I from V/X; X from L/C; C from D/M). (5) Never subtract more than one symbol.
Yes. Lowercase (i, ii, iii, iv) is common in book pagination (front matter), outline numbering and some legal documents. It follows the same rules as uppercase.
1492 = MCDXCII. M (1000) + CD (400) + XC (90) + II (2).