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Hex to Roman Converter



Converting a Hexadecimal Number to Roman Numerals

The hexadecimal system (base-16) uses digits from 0 to 9 and letters A to F to represent values. Roman numerals are an ancient numeral system that uses combinations of letters from the Latin alphabet: I, V, X, L, C, D, and M. Each of these letters has a specific value, and the total value of a Roman numeral is calculated by summing these values, with adjustments made according to specific rules.

To convert a hexadecimal number to its Roman numeral equivalent, the hexadecimal number is first converted to its decimal (base-10) equivalent. Once you have the decimal number, it is then converted to Roman numerals.

For example, the hexadecimal number 2F can be converted to decimal as follows:

2 × 16^1 + F × 16^0 = 32 + 15 = 47

The decimal number 47 is then converted to Roman numerals, which is XLVII.

Examples

Let’s explore some examples to understand how to convert hexadecimal numbers to their Roman numeral equivalents.

1. Convert the hexadecimal number 2F to Roman numerals.

Answer

First, we identify the given hexadecimal number:

Given:

  • Hexadecimal: 2F

Next, we convert the hexadecimal number to its decimal equivalent:

Steps:

  • 2 × 16^1 = 32
  • F = 15, so F × 16^0 = 15 × 1 = 15

The sum is:

Decimal Equivalent:

47

Finally, we convert the decimal number to Roman numerals:

Roman Numeral Equivalent:

XLVII

Result:

∴ The Roman numeral equivalent of the hexadecimal number 2F is XLVII.

2. Convert the hexadecimal number 1A to Roman numerals.

Answer

We start by identifying the hexadecimal number:

Given:

  • Hexadecimal: 1A

Next, we convert the hexadecimal number to its decimal equivalent:

Steps:

  • 1 × 16^1 = 16
  • A = 10, so A × 16^0 = 10 × 1 = 10

The sum is:

Decimal Equivalent:

26

Finally, we convert the decimal number to Roman numerals:

Roman Numeral Equivalent:

XXVI

Result:

∴ The Roman numeral equivalent of the hexadecimal number 1A is XXVI.

3. Determine the Roman numeral equivalent of the hexadecimal number 7B.

Answer

First, we identify the given hexadecimal number:

Given:

  • Hexadecimal: 7B

Next, we convert the hexadecimal number to its decimal equivalent:

Steps:

  • 7 × 16^1 = 112
  • B = 11, so B × 16^0 = 11 × 1 = 11

The sum is:

Decimal Equivalent:

123

Finally, we convert the decimal number to Roman numerals:

Roman Numeral Equivalent:

CXXIII

Result:

∴ The Roman numeral equivalent of the hexadecimal number 7B is CXXIII.

4. Convert the hexadecimal number 3C to Roman numerals.

Answer

We start by identifying the number:

Given:

  • Hexadecimal: 3C

Next, we convert the hexadecimal number to its decimal equivalent:

Steps:

  • 3 × 16^1 = 48
  • C = 12, so C × 16^0 = 12 × 1 = 12

The sum is:

Decimal Equivalent:

60

Finally, we convert the decimal number to Roman numerals:

Roman Numeral Equivalent:

LX

Result:

∴ The Roman numeral equivalent of the hexadecimal number 3C is LX.