How to convert roman numerals to decimal number.

## Roman numerals to decimal number conversion

For roman numeral r:

- 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:

- Add to the decimal number x the value v of the roman numeral that you found:
*x*=*x*+*v* - Repeat stages 1 and 2 until you get all the roman numerals of 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 |

#### 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 »

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