Hexadecimal to Binary converter

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Hexadecimal to binary converter

Definition:

It is a free online tool that converts hexadecimal numbers to binary numbers in seconds. It saves you from the anxiety of mathematical conversion that you do manually.

How to use this tool?

You can use our tool in a few simple steps.

  1. Enter your hexadecimal number into the text box.
  2. Click on the “Hex to Binary” button.
  3. You will get a binary number in the text box on the left side.

You can also use our binary to the hexadecimal converter to convert your numbers into the binary code.

Binary numbers and their uses:

A binary number is a number with base 2. Latin word bi stands for 2. This implies that it contains two numbers. These two numbers are 0 and 1. A binary number is formed by the combination of these two numbers.

Binary numbers are used as machine code in computers. These numbers are used for the manipulation and storage of data. Bit implies binary digit. These bits integrate to form Bytes, KBs, MBs, and GBs of data. Therefore, these bits are the basic units of a computer's storage.

Moreover, binary digits are used in electronic circuits to dictate “ON” and “OFF” operations.

Hexadecimal numbers and their uses:

Hexadecimal stands for sixteen. There are sixteen digits in it ranging from (1,2,3,4,5,6,7,8,9 and A, B, C, D, E, F, G). Last alphabets correspond to (10,11,12,13,14,15,16) in decimal system. Its base is 16 which means each upper hexadecimal is 16 digits greater than its lower one.

These numbers are used in computers to get MAC addresses, define primary colors such as red, blue, and green in computers, and display errors in the location of memory.

How to manually convert a hexadecimal number into a binary number?

Converting these numbers into each other is a hectic task as you have to perform a lot of calculations.

For example:

Convert A1B16 to binary number?

A1B16 = A * 162 + 1 *161 + B * 160 = 256* 10 +16 + 11 = 2587

Now 258710 is a decimal number; you have to convert into binary.

By dividing the number successively by 2, and getting remainder each time, you will end up getting your binary number = (101000011011)2

Now imagine how much time-consuming it is to convert hexadecimal to binary.

Uses of this converter:

This table shows the corresponding Hexadecimal numbers to their Binary numbers.

 

Hexadecimal number

 

Binary number

 

0

 

0

 

1

 

1

 

2

 

10

 

3

 

11

 

4

 

100

 

5

 

101

 

6

 

110

 

7

 

111

 

8

 

1000

 

9

 

1001

 

A

 

1010

 

B

 

1011

 

C

 

1100

 

D

 

1101

 

E

 

1110

 

F

 

1111

 

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