Hex to Decimal Converter

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Hex to decimal converter

Are you looking for a tool to convert hexadecimal numbers to decimal? No doubt, there are a number of online tools that would do the job for you but before using a converter you need to learn how to do these conversions on paper manually. 

After reading this post, you will be able to do the hex to decimal conversion by using a converter or even in your head.

What is a hexadecimal number system? 

It is basically used in mathematics and computer sciences and refers to a system with base 16 or hex. 

In simpler terms, it is a positional numeral system that has a base of 16. Hex means 16 thus, the hexadecimal system carries 16 distinct numbers or symbols from 0 to 16. 

These sixteen symbols represent number values from 0 to 9 and then from A to f that are used to represent the values from 10 to fifteen. 

Hexadecimal are represented as 0 1 2 3 4 5 6 7 8 9 A B C D E and F.

What is the decimal number system? 

It is the most common number system in mathematics that refers to a system with a base of 10.

Decimal means 10 so this system has ten as its base and carries 10 symbols from 0 to 9.

Decimals are represented as 0 1 2 3 4 5 6 7 8 and 9. 

Converting hexadecimal to decimal

To convert hex to decimal, using hexadecimal place value and then adding it to every digit of base 16 value is an important step.

The next step is adding up the place values of every single digit. 

The following example will further explain this conversion method. 

How 3c8 can be converted from hex to decimal. 

Step 1 

Put down the place value that will be written as

162 161 160
256 16 1

As C is equal to 12 

3 12 8

Step 2 

Multiplying the place values and then adding up with each digit. 

256 × 3 + 16 × c + 1 × 8

= 768 + 192 + 8 

= 968 

So 3c8 in hexadecimal will be equal to 968 in decimal and it can also be written as: 

(3c8)16 = (968)10

Using the online Hex to decimal converter 

Other than the manual method, you can use an online Hex to the decimal converter to save your time. 

Utilities online Hex to decimal converter not only converts hexadecimal to decimal numbers but at the same time it will change hex into binary numbers as well. 

Moreover, this converter shows the complete decimal calculation that will make your concept more clear.