# 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:

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

x = x + v

4. 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

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