Hexadecimal to Binary Converter
Enter a hex number below to convert it to binary.
Binary Number:
Steps to Convert to Binary
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How to Convert Hex to Binary
Hexadecimal and binary numbers are foundational to computing systems, networking, and software engineering. Converting from a hexadecimal 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 Character Nibble Values
This chart shows the binary nibble value for each hexadecimal digit.
| Hexadecimal Digit | Binary Nibble |
|---|---|
| 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 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 |