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

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

Note: To convert a hexadecimal number (base 16) to any other base, first convert the hexadecimal value to decimal (base 10). Follow these steps:

1. Identify each digit of the hexadecimal number.
2. Calculate the position of each digit. Start from the rightmost digit, which will have a position of 0. Each digit to the left will have an incremental position (1, 2, 3, etc.).
3. Calculate the decimal value of each digit by multiplying it by the base (16) raised to the position of the digit. For example: digit * 16^position.
4. Add up the values obtained in the previous step to get the equivalent decimal number.

Applying these steps to the hexadecimal number 9F:

1. 9 and F are the digits.
2. Starting from the rightmost, the positions are 0 and 1.
3. 9 * 16^1 = 144; F (which is 15 in decimal) * 16^0 = 15.
4. 144 + 15 = 159 decimal.

So, 9F hexadecimal = 159 decimal.

To convert a decimal number to a Roman numeral, you need to follow a series of rules:

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.

Steps to convert the decimal number 159 into a Roman numeral:

1. Break down the number into units, in this case: 100, 50, and 9.
2. Translate using the table, each decimal number to its equivalent Roman numeral. In this case: C=100, L=50, and IX=9.
3. Write the result from largest to smallest unit or from left to right: CLIX.

As a result, the decimal number 159 is equal to CLIX in Roman numerals.