# HEX to Decimal

## converting Hex data into Decimal format

## HEX to Decimal Converter

Hexadecimal numbers are used in many computer applications, but they can be difficult to work with. Our Hexadecimal to Decimal number tool makes it easy to convert Hexadecimal numbers to Decimal, with the best user-friendly interface.

below are simple steps:

- Enter the Hexadecimal numbers you want to convert in the text box.
- Press the “Convert” button.
- The utility will convert the Hexadecimal numbers immediately.
- Click “Copy” to save the Decimal numbers.

**☛Also Check:** How to Convert Hex to Decimal manually

## What is the hexadecimal number system?

Hexadecimal numbers are numbers that are represented with a base of 16. Unlike our normal decimal system, which uses a base of 10, the hexadecimal system uses a combination of the numbers 0-9 and the letters A-F to represent values.

The hexadecimal system is often used in computer science because it provides a more concise way of representing binary data. In binary, each digit can only be a 0 or 1, so four binary digits can represent 16 different combinations. In hexadecimal, each digit can be one of 16 different values, so two hexadecimal digits can represent 256 different combinations.

## How to convert hex to decimal numbers?

There are two ways to convert the hexadecimal number to a decimal number:

- Converting the hex number system to decimal numbers manually.
- Using our online free hex to decimal number converter tool.

## How to convert hex to decimal numbers manually?

Hex is a base 16 number and decimal is a base 10 number. We need to know the decimal equivalent of every hex number digit. See below of the page to check the hex to decimal chart.

Here are the steps to convert hex to decimal:

- Get the decimal equivalent of hex from table.
- Multiply every digit with 16 power of digit location.

(zero based, 7DE: E location is 0, D location is 1 and the 7 location is 2) - Sum all the multipliers.

Here is an example:

7DE is a hex number 7DE = (7 * 16^{2}) + (13 * 16^{1}) + (14 * 16^{0}) 7DE = (7 * 256) + (13 * 16) + (14 * 1) 7DE = 1792 + 208 + 14 7DE = 2014 (in decimal number)

## What is the formula to convert hex to decimal numbers?

Hexadecimal to decimal formula conversion uses the following method:

- The base of the number to be converted here is 16.
- Multiply each digit of the given number, starting from the rightmost digit, with the exponents of the base 16.
- The exponents should start with 0 and increase by 1 every time as we move from right to left.
- We just simplify each of the products and add them.

The hex to decimal conversion formula is given as:

d_{n-1} … d_{1} d_{0} (hex) = d_{n-1} × 16^{n-1} + … + d_{1} × 16^{1} + d_{0} × 16^{0} (decimal)