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Hex to Decimal



This converter converts the given hex number to decimal number.

Hex to Decimal

Hexadecimal to decimal conversion is the process of converting a hexadecimal (base-16) number into its decimal (base-10) representation.

In the hexadecimal system, numbers are represented using the digits 0 through 9 and the letters A to F.

Steps to Convert Hexadecimal to Decimal

Here are the steps to convert a hexadecimal number to decimal:

  1. Assign decimal values to each hexadecimal digit (0-9 have their regular values, A is 10, B is 11, and so on).
  2. Multiply each digit by 16 raised to the power of its position (starting from the right, with the rightmost digit at position 0).
  3. Sum up all the results to get the final decimal equivalent.

Example

Let's take an example to illustrate the process. Suppose we want to convert the hexadecimal number 1A3 to decimal:

  1. Convert each hexadecimal digit to its decimal value: 1 hex is 1 decimal, A hex is 10 decimal, and 3 hex is 3 decimal.
  2. Multiply each digit by 16 raised to the power of its position: 1 × 162 + 10 × 161 + 3 × 160.
  3. Sum up the results: 1 × 256 + 10 × 16 + 3 × 1 = 256 + 160 + 3 = 419.

The decimal equivalent is 419.

Therefore, 1A3 in hexadecimal is equal to 419 in decimal.