Number to Roman Numerals Converter
Here's a simple algorithm to convert a given number to Roman Numerals:
Create two arrays: one containing the Roman numeral symbols and their corresponding values, and another containing the base 10 numbers that represent the subtractive pairs.
- Start with the largest Roman numeral value that is less than or equal to the given number.
- Add the Roman numeral symbol corresponding to that value to the result string.
- Subtract the corresponding value from the given number.
- Repeat steps 2-4 with the new value until the value is 0.
Here is the Python code for a function that implements this algorithm:
less
def convert_to_roman(num):
roman_num = ''
roman_symbols = ['M', 'CM', 'D', 'CD', 'C', 'XC', 'L', 'XL', 'X', 'IX', 'V', 'IV', 'I']
roman_values = [1000, 900, 500, 400, 100, 90, 50, 40, 10, 9, 5, 4, 1]
i = 0
while num > 0:
while num >= roman_values[i]:
roman_num += roman_symbols[i]
num -= roman_values[i]
i += 1
return roman_num
Here are a few examples of how to use the function:
python
>>> convert_to_roman(9)
'IX'
>>> convert_to_roman(27)
'XXVII'
>>> convert_to_roman(89)
'LXXXIX'
>>> convert_to_roman(1972)
'MCMLXXII'
>>> convert_to_roman(2022)
'MMXXII'
Note that this function only works for positive integers up to 3999, which is the largest number that can be represented with Roman numerals using the symbols and rules commonly used in modern times.
Create two arrays: one containing the Roman numeral symbols and their corresponding values, and another containing the base 10 numbers that represent the subtractive pairs.
- Start with the largest Roman numeral value that is less than or equal to the given number.
- Add the Roman numeral symbol corresponding to that value to the result string.
- Subtract the corresponding value from the given number.
- Repeat steps 2-4 with the new value until the value is 0.
Here is the Python code for a function that implements this algorithm:
less
def convert_to_roman(num):
roman_num = ''
roman_symbols = ['M', 'CM', 'D', 'CD', 'C', 'XC', 'L', 'XL', 'X', 'IX', 'V', 'IV', 'I']
roman_values = [1000, 900, 500, 400, 100, 90, 50, 40, 10, 9, 5, 4, 1]
i = 0
while num > 0:
while num >= roman_values[i]:
roman_num += roman_symbols[i]
num -= roman_values[i]
i += 1
return roman_num
Here are a few examples of how to use the function:
python
>>> convert_to_roman(9)
'IX'
>>> convert_to_roman(27)
'XXVII'
>>> convert_to_roman(89)
'LXXXIX'
>>> convert_to_roman(1972)
'MCMLXXII'
>>> convert_to_roman(2022)
'MMXXII'
Note that this function only works for positive integers up to 3999, which is the largest number that can be represented with Roman numerals using the symbols and rules commonly used in modern times.