Roman Numerals Converter | How to Convert Roman Numerals?

What is the Roman Numeral System?

In the Roman numeral system, numbers are represented by combinations of letters from the Latin alphabet and have been used throughout Europe for hundreds of years. The Roman numeral system originated in ancient Rome and remained popular well into the late Middle Ages.

In the Roman numeral system, letters represent numbers. In contemporary Roman numerals, the letters M, D, C, L, X, V, and I correspond to 1000, 500, 100, 50, 10, 5, and 1.

What is Roman Numerals Font?

In Roman numeral fonts, the numbers are instead represented by special characters rather than traditional 0-9 alphabet numbers. This number system was invented in ancient Rome and is frequently used today for things like sporting events, or tattoos.

Roman Numerals Conversion Chart

Decimal Value (D)	Roman Numerals (R)
1	I
4	IV
5	V
9	IX
10	X
40	XL
50	L
90	XC
100	C
400	CD
500	D
900	CM
1000	M

This module includes step-by-step instructions as well as an online calculator that provides accurate results in a short period of time. Visit Arithmetic Calculators to learn more about the many calculators available and to conduct your calculations fast.

How to Convert Decimal Numbers into Roman Numerals?

Select the number (N), you want to convert into a Roman numeral.
Find the highest decimal value 'N' that is less than or equal to the decimal number and its corresponding roman numeral 'R' in the following table. Check the value from the above table.
Write the Roman numeral that you find from the above table. Write it down & subtract its value from the decimal number, then add the corresponding Roman numeral to the answer in each step.
Repeat the above step, until the subtraction comes as zero.
Finally, when the subtraction is zero, the conversion of the decimal number into roman numerals has been successfully done.

Solved Example for the Conversion of a Number into Roman Numeral

Example:

Convert 2112 into Roman Numerals.

Solution:

Given a number, N = 2112

Here, we get the highest decimal value that is less than or equal to the decimal number N.

The corresponding roman numeral R using the above table is ‘M’. i.e. 1000.

Now subtracting its value from the decimal number i.e 2112, then adding the corresponding Roman numeral to the answer in each step.

Repetition	Decimal number ‘N’	Corresponding Decimal Number	Corresponding Roman Numeral	Result in Roman Numeral
1	2112	1000	M	M
2	1112 (2112-1000 = 1112)	1000	M	MM
3	112 (1112 – 1000 = 112)	100	C	MMC
4	12 (112 – 100 = 12)	10	X	MMCX
5	2 (12 – 10 = 2)	1	I	MMC XI
6	1	1	I	MMCXII
7	0 (1 – 1 = 0)	-	-	MMCXII

In the seventh repetition, we got the subtraction value zero.

Hence the decimal number 2112 can be written as MMCXII in Roman Numerals.

FAQs On Roman Numerals Converter Tool

1. What are the rules for writing Roman numerals?

The basic Rules for Writing Roman Numerals are:

The letters C, I & X can only be repeated thrice in succession.

Whenever we write a lower value digit to the right of a higher value digit, it will be added.

Whenever we write a lower value digit to the left of a higher value digit, it will be subtracted.

We can use only I, X, and C as subtractive numerals.

2. Which biggest number can be formed using Roman numerals?

3999 is the biggest number that can be formed using Roman numerals.

3. What should be subtracted CC to get CLIX?

In Roman Numerals 9 can be written as IX, 50 can be written as L, and 100 can be written as C. Hence, CLIX = C + L + IX = 100 + 50 + 9 = CLIX.

4. What is the range of Roman numbers?

Considering from bottom to top the Roman numbers range from 13 to 22.