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

 

How to convert number to roman numerals ►

 


See also

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