Convert from Roman (Rom) to Hexadecimal (Base 16)

¿How to convert from Roman (Rom) to Hexadecimal (Base 16)?

Note: To convert a number in the Roman numeral system to any other base, we first need to convert the Roman numeral to decimal (base 10). Follow these steps:

Roman Numerals and Their Basic Rules.

1. The Roman numerals I, X, C, and M can be repeated up to three times when writing a composite Roman numeral.
2. The Roman numerals V, L, and D cannot be repeated.
3. If a composite Roman numeral has a smaller number to the right than to the left, then both are added. Example: XI: The number on the right (I = 1) is smaller than on the left (X = 10), so they are added, i.e., XI = 11.
4. If a composite Roman numeral has a larger number to the right and it is I, X, or C, then the left is subtracted from the right. Example: IX: The number on the right (X = 10) is larger than on the left (I = 1), and it's I, so the left is subtracted from the right, i.e., IX = 9.
5. If a Roman numeral has a line over it, its value is multiplied by a thousand. Example: IX

   : the number is 9,000, as it's the Roman numeral representing 9 and the line over it multiplies it by a thousand.

Applying the steps to the Roman numeral "CLIX":

1. C = 100, L = 50, I = 1, X = 10
2. We observe I = 1 before X = 10, so I is subtracted from X;
3. Add 100 + 50 + (10 - 1) = 159.

The Roman numeral "CLIX" is equivalent to 159 in decimal.

To convert a decimal number (base 10) to hexadecimal (base 16), follow these steps:

1. Divide the decimal number by 16.
2. Take the quotient and divide it by 16 again.
3. Repeat this process until the quotient is less than 16.
4. Assign a letter to each remainder if the remainder is greater than 9.
5. Numbers 10, 11, 12, 13, 14, and 15 are represented by the letters A, B, C, D, E, and F, respectively.
6. Write down the remainders obtained in reverse order to how they were calculated.

Applying these steps to the decimal number 159:

1. 159 / 16 = 9 with a remainder of 15.
2. 9 / 16 = 0 with a remainder of 9.
3. 15 is represented as F.
4. 9 is represented as 9.