How to convert roman numerals to number

How to convert roman numerals to decimal number.

Roman numerals to decimal number conversion

For roman numeral r:

1. From the following table, find the highest roman numeral (n) with the highest decimal value (v)

   that is taken from the left part of the roman numeral r:

 

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

 

2. Add to the decimal number x the value v of the roman numeral that you found:

   x = x + v

3. Repeat stages 1 and 2 until you get all the roman numerals of r.

Example #1

r = XXXVI

 

Iteration #	Highest roman numeral (n)	Highest decimal value (v)	Decimal number (x)
1	X	10	10
2	X	10	20
3	X	10	30
4	V	5	35
5	I	1	36

 

Example #2

r = MMXII

 

Iteration #	Highest roman numeral (n)	Highest decimal value (v)	Decimal number (x)
1	M	1000	1000
2	M	1000	2000
3	X	10	2010
4	I	1	2011
5	I	1	2012

 

 

Example #3

r = MCMXCVI

 

Iteration #	Highest roman numeral (n)	Highest decimal value (v)	Decimal number (x)
1	M	1000	1000
2	CM	900	1900
3	XC	90	1990
4	V	5	1995
5	I	1	1996

 

How to convert number to roman numerals ►

 

See also

• Roman numerals converter
• Date to roman numerals converter
• Roman numerals chart
• Number conversion