Conversion of Roman numerals to Arabic numerals
Here, we will understand how to convert Roman numerals to Arabic numerals and know through an example how to convert Roman numerals to Arabic numerals. To convert Roman numerals to Arabic numerals, you can add the values of the different Roman numeral symbols. We have given the basic Roman numeral symbols and their corresponding values below.
I: 1
V: 5
X: 10
L: 50
C: 100
D: 500
M: 1000
Here, you start from the leftmost digit to convert Roman numerals to Arabic numerals.
If the value of the rightmost digit is greater than the current digit, then subtract the value of the current digit. Otherwise, add the value of the current digit.
Repeat for each digit in the Roman numeral representation.
Here, we have given an example of the Roman numeral ‘CCXLVI’
C (100) – Add 100 → Total = 100
C (100) – Add another 100 → Total = 200
X (10)
L (50) – Since 10 < 50, this is a subtractive pair: 50 – 10 = 40 → Add 40 → Total = 240
V (5)
I (1) – Since 1 < 5, this is another subtractive pair: 5 – 1 = 4 → Add 4 → Total = 244.
C = 100
C = 100
XL = 40
VI = 6
Total: 100 + 100 + 40 + 6 = 246
So, ‘CCXLVI’ in Roman numerals is equivalent to 246 in Arabic numerals.
A Table for Roman numerals to Arabic Numeral Conversion
Roman Numeral | Arabic Numeral |
---|---|
I | 1 |
II | 2 |
III | 3 |
IV | 4 |
V | 5 |
VI | 6 |
VII | 7 |
VIII | 8 |
IX | 9 |
X | 10 |
XI | 11 |
XII | 12 |
XX | 20 |
XL | 40 |
L | 50 |
XC | 90 |
C | 100 |
D | 500 |
M | 1000 |