Roman Numerals Converter



Correct a Roman Numeral:

Roman Numerals Converter: A convenient tool for converting between Roman numerals and decimal numbers.

Roman numerals

Roman numerals are a numeral system that originated in ancient Rome and was widely used throughout the Roman Empire. They are still occasionally used today, particularly in formal or decorative contexts. Here are the basic symbols and their corresponding values:

  • I: 1
  • V: 5
  • X: 10
  • L: 50
  • C: 100
  • D: 500
  • M: 1000

To represent larger numbers, Roman numerals use a combination of these symbols. The symbols are combined in a way that follows certain rules:

  1. Symbols are read from left to right, and their values are added together. For example, II represents 1 + 1 = 2, and XXX represents 10 + 10 + 10 = 30.

  2. If a smaller symbol appears before a larger symbol, its value is subtracted. For example, IV represents 5 - 1 = 4, and IX represents 10 - 1 = 9.

  3. If a smaller symbol appears after a larger symbol, its value is added. For example, VI represents 5 + 1 = 6, and XI represents 10 + 1 = 11.

  4. In general, the largest possible symbols are used first, followed by progressively smaller symbols. For example, 9 is represented as IX (10 - 1) rather than VIIII.

Roman numerals are often used to represent years, as in MMXXIII for the year 2023, or to label chapters or sections in books (e.g., Chapter X for Chapter 10). They are also used in clock faces and for numbering royalty (e.g., King Louis XIV).

While Roman numerals have their historical significance, they are less commonly used in modern mathematics and everyday calculations. The decimal system, using Arabic numerals (0-9), is the most widely used numeral system today.

How do you translate Roman numerals?

To translate Roman numerals to their corresponding decimal (Arabic) numbers, you can follow these steps:

  1. Write down the Roman numeral you want to translate.

  2. Start from the left side of the numeral and examine each symbol.

  3. Compare the value of each symbol to the value of the symbol to its right. If the symbol on the left is smaller than the symbol on the right, subtract its value from the total. If the symbol on the left is equal to or greater than the symbol on the right, add its value to the total.

  4. Continue this process until you have examined all the symbols in the numeral.

  5. Add up the values of the symbols to get the decimal equivalent.

For example, let's translate the Roman numeral "MCMLIV" to a decimal number:

M = 1000 CM = 900 L = 50 IV = 4

Add up the values: 1000 + 900 + 50 + 4 = 1954

So, the Roman numeral "MCMLIV" translates to the decimal number 1954.

It's important to note that Roman numerals do not use a symbol for zero. Therefore, if you encounter a Roman numeral with no symbols, it represents zero.

Additionally, Roman numerals can sometimes be challenging to interpret, especially when there are combinations of subtractive notation (e.g., IV for 4) or complex arrangements. Taking the time to carefully examine each symbol and follow the rules mentioned earlier will ensure accurate translation.

What are the Roman numerals from 1 to 1000?


Examples of Roman numbering

1980 in Roman numeralsMCMLXXX1981 in Roman numeralsMCMLXXXI
1982 in Roman numeralsMCMLXXXII1983 in Roman numeralsMCMLXXXIII
1984 in Roman numeralsMCMLXXXIV1985 in Roman numeralsMCMLXXXV
1986 in Roman numeralsMCMLXXXVI1987 in Roman numeralsMCMLXXXVII
1988 in Roman numeralsMCMLXXXVIII1989 in Roman numeralsMCMLXXXIX
1990 in Roman numeralsMCMXC1991 in Roman numeralsMCMXCI
1992 in Roman numeralsMCMXCII1993 in Roman numeralsMCMXCIII
1994 in Roman numeralsMCMXCIV1995 in Roman numeralsMCMXCV
1996 in Roman numeralsMCMXCVI1997 in Roman numeralsMCMXCVII
1998 in Roman numeralsMCMXCVIII1999 in Roman numeralsMCMXCIX
2000 in Roman numeralsMM2001 in Roman numeralsMMI
2002 in Roman numeralsMMII2003 in Roman numeralsMMIII
2004 in Roman numeralsMMIV2005 in Roman numeralsMMV
2006 in Roman numeralsMMVI2007 in Roman numeralsMMVII
2008 in Roman numeralsMMVIII2009 in Roman numeralsMMIX
2010 in Roman numeralsMMX2011 in Roman numeralsMMXI
2012 in Roman numeralsMMXII2013 in Roman numeralsMMXIII
2014 in Roman numeralsMMXIV2015 in Roman numeralsMMXV
2016 in Roman numeralsMMXVI2017 in Roman numeralsMMXVII
2018 in Roman numeralsMMXVIII2019 in Roman numeralsMMXIX
2020 in Roman numeralsMMXX2021 in Roman numeralsMMXXI
2022 in Roman numeralsMMXXII2023 in Roman numeralsMMXXIII
2024 in Roman numeralsMMXXIV2025 in Roman numeralsMMXXV
2026 in Roman numeralsMMXXVI2027 in Roman numeralsMMXXVII
2028 in Roman numeralsMMXXVIII2029 in Roman numeralsMMXXIX
2030 in Roman numeralsMMXXX2031 in Roman numeralsMMXXXI
2032 in Roman numeralsMMXXXII2033 in Roman numeralsMMXXXIII