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# Hex Calculator

**Hex Calculator** converts the hexadecimal number to a decimal number. A number system is a system of representing numbers, also called the system of numeration. It defines a set of values to represent a quantity.

## What is Hex Calculator?

Hex Calculator is an online tool that helps to convert the hexadecimal number to a decimal number. This online hex calculator helps you to convert the hexadecimal number to a decimal number in a few seconds. To use this hex calculator, enter the hexadecimal value in the given input box.

### Hex Calculator

## How to Use Hex Calculator?

Please follow the steps below to convert the hexadecimal number to a decimal number using an online hex calculator:

**Step 1:**Go to Cuemath’s online hex calculator.**Step 2:**Enter the hexadecimal value in the given input box of the hex calculator.**Step 3:**Click on the**"Convert"**button to convert the hexadecimal to a decimal number.**Step 4:**Click on the**"Reset"**button to clear the field and enter the new values.

## How does Hex Calculator work?

The hexadecimal number system uses sixteen digits/alphabets: The digits 0,1, 2, 3, 4, 5, 6, 7, 8, 9 and the letters A, B, C, D, E, F, thus having a

base16. The hex to decimal formula helps in converting a number given in base 16 to base 10

Please follow the below steps to convert hexadecimal value to a decimal number:

**Step 1:**The base of the number to be converted here is 16**Step 2:**Multiply each digit of the given number, starting from the rightmost digit, with the exponents of the base.**Step 3:**The exponents should start with 0 and increase by 1 every time as we move from right to left.**Step 4:**We just simplify each of the products and add them.

The formula to convert the hexadecimal to decimal number is given by

d_{n - 1} ...d_{3}d_{2}d_{1}d_{0}(hex) = d_{n - 1} × 16^{n - 1} + ... + d_{3} × 16^{3} + d_{2} × 16^{2} + d_{1} × 16^{1} + d_{0} × 16^{0}(decimal)

The conversion table for the numbers from hexadecimal to decimal is given below:

Let us understand this with the help of the following example.

**Solved Examples on Hex Calculator**

**Example 1:**

Covert (5AD)_{16 }into the decimal system and verify it using the hex calculator?

**Solution**:

In Hexadecimal system,

5 = 5

A = 10

D = 13

Using hex to decimal formula,

(5AD)_{16} = ( 5 × 16^{2} + 10 × 16^{1} + 13 × 16^{0} )

= 5 × 256 + 10 × 16 + 13× 1

= (1453)_{10}

Now, try the hex calculator and convert the hexadecimal to the decimal system for:

- (6AB)
_{16} - (8CF)
_{16}

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