How to convert decimal number to roman numerals.
Decimal number to roman numerals conversion
For decimal number x:
- From the following table, find the highest decimal value v that is less than or equal to the decimal number x
and its corresponding roman numeral n:
- Write the roman numeral n that you found and subtract its value v from x:
x = x - v
- Repeat stages 1 and 2 until you get zero result of x.
| Decimal value (v) | Roman numeral (n) |
|---|---|
| 1 | I |
| 4 | IV |
| 5 | V |
| 9 | IX |
| 10 | X |
| 40 | XL |
| 50 | L |
| 90 | XC |
| 100 | C |
| 400 | CD |
| 500 | D |
| 900 | CM |
| 1000 | M |
Example #1
x = 36
| Iteration # | Decimal number (x) | Highest decimal value (v) | Highest roman numeral (n) | Temporary result |
|---|---|---|---|---|
| 1 | 36 | 10 | X | X |
| 2 | 26 | 10 | X | XX |
| 3 | 16 | 10 | X | XXX |
| 4 | 6 | 5 | V | XXXV |
| 5 | 1 | 1 | I | XXXVI |
Example #2
x = 2012
| Iteration # | Decimal number (x) | Highest decimal value (v) | Highest roman numeral (n) | Temporary result |
|---|---|---|---|---|
| 1 | 2012 | 1000 | M | M |
| 2 | 1012 | 1000 | M | MM |
| 3 | 12 | 10 | X | MMX |
| 4 | 2 | 1 | I | MMXI |
| 5 | 1 | 1 | I | MMXII |
Example #3
x = 1996
| Iteration # | Decimal number (x) | Highest decimal value (v) | Highest roman numeral (n) | Temporary result |
|---|---|---|---|---|
| 1 | 1996 | 1000 | M | M |
| 2 | 996 | 900 | CM | MCM |
| 3 | 96 | 90 | XC | MCMXC |
| 4 | 6 | 5 | V | MCMXCV |
| 5 | 1 | 1 | I | MCMXCVI |
How to convert roman numerals to number ►