Roman Numeral Calculator

Free Roman numeral calculator to convert any number or date to Roman numerals and vice versa. Perfect for dates, chapters, outlines, and numbering systems.

Convert Numbers to Roman Numerals & Dates Instantly

Roman Numeral Calculator

How to Use the Roman Numeral Calculator

  1. Select conversion type: Number to Roman Numeral or Date to Roman Numerals.
  2. For Number to Roman: Enter a number between 1 and 3999 in the Number field.
  3. For Date conversion: Enter year (1-3999), month (1-12), and day (1-31).
  4. Click Calculate to see the Roman numeral conversion result.

Roman Numeral Rules:

Roman Numerals: I=1, V=5, X=10, L=50, C=100, D=500, M=1000 | Subtractive notation: IV=4, IX=9, XL=40, XC=90, CD=400, CM=900

Understanding Roman Numerals: Complete Guide

Roman numerals are an ancient number system that uses letters from the Latin alphabet to represent values. Developed around 500 BCE in ancient Rome, this system remained the standard way to write numbers in Europe until the 14th century when Arabic numerals became dominant.

Today, Roman numerals are still widely used for dates on buildings, chapter numbers in books, movie copyright years, clock faces, and formal document numbering. Understanding how to convert between Roman numerals and regular numbers is essential for many applications.

Roman Numeral Basics

Basic Values:

  • I = 1
  • V = 5
  • X = 10
  • L = 50

Higher Values:

  • C = 100
  • D = 500
  • M = 1000

How Roman Numerals Work

  • Addition rule: When a smaller value follows a larger value, add them (XI = 10 + 1 = 11)
  • Subtraction rule: When a smaller value precedes a larger value, subtract (IV = 5 - 1 = 4)
  • Repetition limit: Letters can repeat up to 3 times (III = 3, but IV not IIII)
  • Only I, X, C, M repeat: V, L, D cannot repeat

Common Roman Numeral Conversions

Here are common numbers and their Roman numeral equivalents:

1-10:

  • 1 = I
  • 2 = II
  • 3 = III
  • 4 = IV
  • 5 = V
  • 6 = VI
  • 7 = VII
  • 8 = VIII
  • 9 = IX
  • 10 = X

Decades:

  • 20 = XX
  • 30 = XXX
  • 40 = XL
  • 50 = L
  • 60 = LX
  • 70 = LXX
  • 80 = LXXX
  • 90 = XC
  • 100 = C

Hundreds:

  • 200 = CC
  • 300 = CCC
  • 400 = CD
  • 500 = D
  • 600 = DC
  • 700 = DCC
  • 800 = DCCC
  • 900 = CM
  • 1000 = M

Famous Years in Roman Numerals

  • 1776: MDCCLXXVI (US Declaration of Independence)
  • 1945: MCMXLV (End of World War II)
  • 2000: MM (Year 2000)
  • 2024: MMXXIV (Current year)

Converting Dates to Roman Numerals

Converting dates to Roman numerals is common for formal documents, monuments, and ceremonial purposes. Each part of the date (day, month, year) is converted separately.

Date Format

Dates are typically written in Roman numerals using the format: DD/MM/YYYY or MM/DD/YYYY depending on regional preferences.

Example: December 25, 2024

  • Day: 25 = XXV
  • Month: 12 = XII
  • Year: 2024 = MMXXIV
  • Result: XXV/XII/MMXXIV

Common Uses of Roman Numeral Dates

  • Building cornerstones: Foundation dates on buildings
  • Monuments and memorials: Commemorative dates
  • Formal documents: Copyright dates, certificates
  • Movie credits: Production and copyright years
  • Wedding invitations: Classic, elegant date formatting

Step-by-Step Date Conversion

Example: Convert July 4, 1776 to Roman numerals

  1. Day: 4 = IV (not IIII, uses subtractive notation)
  2. Month: 7 = VII
  3. Year: 1776 = MDCCLXXVI
  4. Combined: IV/VII/MDCCLXXVI

Subtractive Notation: The Key to Roman Numerals

Subtractive notation is a crucial rule in Roman numerals that prevents awkward repetition. Instead of writing four of the same letter (like IIII), smaller values are placed before larger values to subtract.

Subtractive Combinations

Standard Subtractions:

  • IV = 4 (5 - 1)
  • IX = 9 (10 - 1)
  • XL = 40 (50 - 10)
  • XC = 90 (100 - 10)
  • CD = 400 (500 - 100)
  • CM = 900 (1000 - 100)

Why This Matters:

  • Avoids repeating letters 4 times
  • Makes numerals more readable
  • Standard convention since ancient times
  • Only specific combinations allowed

Invalid Subtractions

Not all subtractions are valid. Only these specific combinations work:

  • Valid: IV (4), IX (9), XL (40), XC (90), CD (400), CM (900)
  • Invalid: IL (49 should be XLIX), IC (99 should be XCIX), XD (490 should be CDXC)

Important: Only one smaller value can precede a larger value, and only I, X, and C can be used for subtraction (before V/X, X/C, and C/M respectively).

Roman Numerals in Modern Usage

Where You'll See Roman Numerals Today

  • Clock faces: Traditional analog clocks often use Roman numerals (I-XII for hours)
  • Book chapters: Many books number chapters using Roman numerals (Chapter I, II, III...)
  • Outlines: Formal outlines use Roman numerals for main sections (I., II., III...)
  • Movie credits: Copyright years in films (MCMLXXXIV = 1984)
  • Building dates: Cornerstone dates on buildings and monuments
  • Formal documents: Legal documents, certificates, diplomas
  • Monarchs and popes: Numbering rulers (Henry VIII, Pope John XXIII)
  • Sporting events: Super Bowl numbering (Super Bowl LVIII)

Why Use Roman Numerals?

  • Classic elegance: Adds formal, traditional aesthetic
  • Distinction: Makes dates and numbers stand out
  • Tradition: Maintains historical conventions
  • Versatility: Works well in design and typography

Common Roman Numeral Examples

Convert 2024 to Roman numerals

Result: MMXXIV (2024 = M(1000) + M(1000) + X(10) + X(10) + IV(4))

Convert 1492 to Roman numerals

Result: MCDXCII (1492 = M(1000) + CD(400) + XC(90) + II(2))

Convert 1999 to Roman numerals

Result: MCMXCIX (1999 = M(1000) + CM(900) + XC(90) + IX(9))

Convert date 25/12/2024 to Roman numerals

Result: XXV/XII/MMXXIV (25/12/2024)

Convert 88 to Roman numerals

Result: LXXXVIII (88 = L(50) + XXX(30) + VIII(8))

Convert 4 to Roman numerals

Result: IV (4 uses subtractive notation, not IIII)

Frequently Asked Questions

How do I convert a number to Roman numerals?

Enter a number between 1 and 3999 in the calculator. The Roman numeral system uses letters: I (1), V (5), X (10), L (50), C (100), D (500), and M (1000). Numbers are formed by combining these letters and using subtractive notation for 4 (IV), 9 (IX), 40 (XL), 90 (XC), 400 (CD), and 900 (CM).

What is the largest number that can be represented in Roman numerals?

The standard Roman numeral system can represent numbers up to 3,999 (MMMCMXCIX). Numbers 4,000 and above require special notations like using a bar over numerals or alternative systems.

How do I convert a date to Roman numerals?

Convert each part of the date separately: day, month, and year. For example, December 25, 2024 becomes XXV/XII/MMXXIV. Enter the year (1-3999), month (1-12), and day (1-31) in the date converter.

Can I convert Roman numerals back to numbers?

Yes, our calculator supports converting Roman numerals to numbers. Enter the Roman numeral using letters I, V, X, L, C, D, M. The calculator validates the input and converts it to the equivalent Arabic number.

What are the rules for Roman numerals?

Roman numerals follow these rules: 1) Letters represent values (I=1, V=5, X=10, L=50, C=100, D=500, M=1000), 2) Add values when smaller follows larger (XI=11), 3) Subtract when smaller precedes larger (IV=4, IX=9), 4) Letters can repeat up to 3 times (III=3, but IV not IIII), 5) Only I, X, C, M can repeat.

Why is 4 written as IV and not IIII?

Roman numerals use subtractive notation to avoid repeating the same letter four times. Instead of IIII (four I's), 4 is written as IV (5-1). This rule applies to 4 (IV), 9 (IX), 40 (XL), 90 (XC), 400 (CD), and 900 (CM).

How do I write years in Roman numerals?

Convert each digit of the year to Roman numerals. For example, 2024 = MMXXIV (M=1000, M=1000, X=10, X=10, IV=4). Years are typically written in Roman numerals on buildings, monuments, and formal documents.

What is MCM in Roman numerals?

MCM represents 1900 in Roman numerals. M = 1000, CM = 900 (1000-100), so MCM = 1000 + 900 = 1900. This is commonly seen in dates like MCMXC (1990).

Can I use Roman numerals for any number?

Roman numerals work best for numbers 1-3999. While larger numbers can be represented using special notation (like bars over numerals), our calculator focuses on the standard range most commonly used in dates, chapters, and numbering systems.

How are Roman numerals used today?

Roman numerals are still used for: dates on buildings and monuments, chapter numbers in books, outlines and lists, movie copyright years, clock faces, and formal document numbering. They provide a classic, elegant way to represent numbers.

What is the difference between roman number and roman numeral?

The terms "roman number" and "roman numeral" are often used interchangeably, but "roman numeral" is the more accurate term. Both refer to the same system using letters (I, V, X, L, C, D, M) to represent numbers. Our calculator supports both search terms.

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