Hexadecimal to Decimal

Hexadecimal to Decimal Converter


A Hexadecimal to Decimal converter is a free online tool that converts a number from its hexadecimal (base-16) representation to its decimal (base-10) representation. Hexadecimal is a numbering system with 16 digits (0-9 followed by A-F), frequently used in computing and programming for its ability to represent binary data more compactly. Decimal, on the other hand, is the numbering system most commonly used by humans, with 10 digits (0 through 9).

Here's how you can manually convert a hexadecimal number to decimal:

  • Start from the rightmost digit of the hexadecimal number.
  • Assign a decimal value to each hexadecimal digit: 0-9 remain the same, and A=10, B=11, C=12, D=13, E=14, and F=15.
  • Multiply the value of the hexadecimal digit by 16 raised to the power of its position (starting from 0 for the rightmost digit).
  • Add up all these values.

For example, let's convert the hexadecimal number "1A3" to decimal:

  • Start from the rightmost digit, which is "3." Its decimal value is 3.
  • Move to the next digit, "A," which has a decimal value of 10.
  • Finally, the leftmost digit is "1," which has a decimal value of 1.

Now, calculate the decimal value:

3 * 16^0 + 10 * 16^1 + 1 * 16^2 = 3 + 160 + 256 = 419.

So, the hexadecimal number "1A3" is equal to the decimal number 419.

You can also use programming languages to perform hexadecimal to decimal conversions automatically. Most programming languages provide built-in functions or methods to make such conversions, which can be very convenient for more complex or large hexadecimal numbers.

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