Hexadecimal to Binary Converter

Do you need to convert an Hexadecimal number to Binary number?

There is a free Hex to Binary Converter below, that allows you to convert hexadecimal numbers to their binary representation.

And if you want to learn How to Convert Hexadecimal to Binary, read or watch our tutorial about the process of converting hex to binary.

Hex to binary conversion result in base numbers

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How to use the Hex to Binary Converter

  1. Enter an Hexadecimal Number in the first field.
  2. Press the Convert button.
  3. The Binary Number output will appear in the second field.
  4. Optionally, you can Copy the output to clipboard, or Save it as a file on your device.
  5. Optionally, review the results of the conversion in base numbers.

Try the Binary to Hex Converter too!

HEXADECIMAL NUMBERS

For your reference, here is a list of the first 255 Hexadecimal numbers:

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

Also you can check out the first hundred numbers in Binary.

ALPHABET IN HEXADECIMAL AND BINARY, CAPITAL LETTERS

LetterHexadecimalBinary
A4101000001
B4201000010
C4301000011
D4401000100
E4501000101
F4601000110
G4701000111
H4801001000
I4901001001
J4A01001010
K4B01001011
L4C01001100
M4D01001101
N4E01001110
O4F01001111
P5001010000
Q5101010001
R5201010010
S5301010011
T5401010100
U5501010101
V5601010110
W5701010111
X5801011000
Y5901011001
Z5A01011010

ALPHABET IN HEXADECIMAL AND BINARY, LOWER CASE

LetterHexadecimalBinary
a6101100001
b6201100010
c6301100011
d6401100100
e6501100101
f6601100110
g6701100111
h6801101000
i6901101001
j6A01101010
k6B01101011
l6C01101100
m6D01101101
n6E01101110
o6F01101111
p7001110000
q7101110001
r7201110010
s7301110011
t7401110100
u7501110101
v7601110110
w7701110111
x7801111000
y7901111001
z7A01111010

How to Convert Hexadecimal to Binary

Hexadecimal, or simply hex, is a base 16 system.  Binary uses base 2.  You might be intimidated about converting hex to binary, but the method is actually quite straightforward.  For short hex figures, you don’t even need a calculator – these conversions are easy enough you can do them in your head.  But you can always use the hexadecimal to binary converter found at the top of this page.

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Sixteen Symbols

Hex uses just sixteen symbols to represent binary and decimal figures.  If you’ve read (or seen) The Martian, you’ll recall astronaut Mark Watney used hexadecimal to communicate with Earth.  It was a good choice, because hexadecimal is surprisingly simple.  If you can already convert decimal to binary, you can convert hex to binary.

From 0-9, hexadecimal and decimals are the same.  Once we reach 10, hex changes things up a bit by using text letters.  10-15 in hex are represented by A-F.

Hex to decimal partial chart

A hexadecimal table can be helpful to convert hexadecimal to binary – although if you do it often enough, you might find you’ve memorized a lot of it.  Keep in mind that hexadecimal “numbers” can be a string of just letters, just numbers, or a combination of both.

Let’s look at a short “number” – 5A –  and convert it from hex to binary.  The first thing we need to do is separate 5 and A.  We need to find the binary equivalent of the decimal 5, which you can do with the decimal to binary converter.

As a quick reminder, converting from decimal to binary requires breaking your decimal into sums of powers of 2.

5 in binary is 101.  Now, we’ll find the binary equivalent to A.  First, we need to know its decimal equivalent.  Remember, in hexadecimal, once we reached 10, we switched to letters.  So we can consider A = 10, and convert the decimal 10 to binary, which is 1010.

Now put them together:  5A in hexadecimal is 1011010 in binary.

Hex to binary 1

You might encounter longer hexadecimal numbers.  Hex to binary conversion can work exactly the same way, no matter how long the figure.  Let’s try with B8CF.  If you guessed this will give us a longer binary figure, you guessed right.

We’ll separate each individual letter or digit, and find the decimal equivalent for the letters.  In this case, we can think of B 8 C F as 11 8 12 15. Now, just find the binary equivalent for each of those decimals.

Hex to binary 2

So the binary output for B8CF is 1011100011001111 – quite a string of ones and zeros!

What might an even longer binary string look like in hexadecimal?  The more digits and letters, the bigger the binary output.  Take 789ABC for example.  We’ll rewrite it as 7 8 9 10 11 12, and then find the binary output for each number.

hex to binary 3

789ABC in hex is 11110001001101010111100!  That’s a lot of ones and zeros to keep track of.  Hexadecimal to binary conversion can get tedious if you’re dealing in larger hex numbers.  You can always plug your numbers into the hex to binary converter on this website – but at least you have a basic understanding of how to convert hex to binary yourself.  You know, in case that trip to Mars doesn’t go as planned.

Questions and Answers about Hexadecimal to Binary numbers conversion

👉 How do you use the Hexadecimal to Binary Converter?

The Hexadecimal to Binary Converter at ConvertBinary.com is really easy to use.

Just follow these steps: enter your Hex number in the first field, then push the “Convert” button.

The binary representation for your hexadecimal number will immediately appear in the field below.

✏️ How do you Convert Hexadecimal to Binary?

To convert hexadecimal numbers to their binary equivalent, you have two options: you can either use an online converter (like the one provided for free by ConvertBinary.com), or you can do it manually.

If you want to learn how to convert hexadecimal to binary manually, you can read this guide, or watch the associated tutorial.

⚙️ How does the Hexadecimal to Binary Converter work?

It uses a programming function that decodes a binary string when it is encoded in hexadecimal.

Then it passes the output of such function to a second function, that returns a string containing a binary representation of the given number argument.

Checks are in place to ensure that the inputs and outputs are always of numeric type.

🔢 Can I convert numbers from Binary to Hexadecimal?

Of course! If you want to convert any number represented in binary to hexadecimal, you can use the Binary to Hexadecimal Converter at ConvertBinary.com.

❓ What is the binary value of the Hex number 1234567890ABCDEF?

It’s 1001000110100010101100111100010010000101010111100110111101111 (which is 19,088,743 in Decimal, as you can verify with the Binary to Decimal Converter)