Enter a hex number below to convert it to binary.

## Binary Number:

### Steps to Convert to Binary

Learn how we calculated this below

## How to Convert Hex to Binary

Hexadecimal (or hex) and binary numbers are foundational to computing systems, networking, and software engineering. Converting from a hexadecimal number to a binary number is very common because base 16 offers a clean way to express four base 2 digits for each base 16 used, making it much easier to read.

Binary numbers, or base 2 numbers, consist of two digits: 0 and 1. Hexadecimal numbers, or base 16 numbers, consist of 16 digits: 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, a, b, c, d, e & f.

To convert hex to binary, convert each digit to the equivalent binary number. Each hex digit is equal to four binary digits or bits, also referred to as a nibble.

## Hex Personality Nibble Values

This chart shows the binary nibble value for each hexadecimal digit.

Binary nibble values for each hexadecimal digit.
0 0000
1 0001
2 0010
3 0011
4 0100
5 0101
6 0110
7 0111
8 1000
9 1001
a 1010
b 1011
c 1100
d 1101
e 1110
f 1111

After converting each hex digit to a nibble, place the nibbles together to get the final number. For example, let’s convert f3b716 to binary.

f16 = 11112
316 = 00112
b16 = 10112
716 = 01112

Putting it all together the final binary value is:

1111 0011 1011 0111

Removing the spaces we end up with:

11110011101101112

## Hex to Binary Conversion Table

The table below shows a list of hexadecimal numbers converted to binary.

Hexadecimal numbers converted to the equivalent binary values
Hexadecimal Number Binary Number Decimal Number
0 0 0
1 1 1
2 10 2
3 11 3
4 100 4
5 101 5
6 110 6
7 111 7
8 1000 8
9 1001 9
a 1010 10
b 1011 11
c 1100 12
d 1101 13
e 1110 14
f 1111 15
10 10000 16
11 10001 17
12 10010 18
13 10011 19
14 10100 20
15 10101 21
16 10110 22
17 10111 23
18 11000 24
19 11001 25
1a 11010 26
1b 11011 27
1c 11100 28
1d 11101 29
1e 11110 30
1f 11111 31
20 100000 32
40 1000000 64
80 10000000 128
100 100000000 256
200 1000000000 512
400 10000000000 1024
800 100000000000 2048