What is Hexadecimal?
Hexadecimal (hex) is a base-16 number system. It uses 16 symbols 0-9 and A-F (A=10, B=11, C=12, D=13, E=14, F=15).
What is Binary?
Binary is a base-2 number system. It uses only two digits 0 and 1. It's the basic language of computers.
How to Convert Hex to Binary
- Split the hex number into single digits
- Convert each hex digit to its 4-bit binary equivalent
- Join the binary groups
This Is How To Convert "A3F" to Binary
| Hex Digit | Binary Equivalent |
|---|---|
| A | 1010 |
| 3 | 0011 |
| F | 1111 |
Result: A3F in hex = 101000111111 in binary
Another Example: "2D8" to Binary
- 2 = 0010
- D = 1101
- 8 = 1000
Result: 2D8 in hex = 001011011000 in binary
Hex to Binary Conversion Table
| Hex | Binary | Hex | Binary |
|---|---|---|---|
| 0 | 0000 | 8 | 1000 |
| 1 | 0001 | 9 | 1001 |
| 2 | 0010 | A | 1010 |
| 3 | 0011 | B | 1011 |
| 4 | 0100 | C | 1100 |
| 5 | 0101 | D | 1101 |
| 6 | 0110 | E | 1110 |
| 7 | 0111 | F | 1111 |
Key Points
- Hex digit converts to 4 binary digits
- Hex is a compact way to write binary numbers
- Converting hex to binary can be faster than decimal to binary