Convert hexadecimal numbers to binary using direct digit-to-4-bit mapping. Essential for digital systems and programming.
Write down the hexadecimal number
Convert each hexadecimal digit to its 4-bit binary equivalent
Combine all the 4-bit groups to get the final binary number
Remove any leading zeros if desired (optional)
Step 1: Convert each digit
A₁₆ = 1010₂
3₁₆ = 0011₂
Step 2: Combine results
A3₁₆ = 10100011₂
| 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 |
Memory addresses in hex converted to binary for hardware access
HEX color values represent RGB components in binary
Hex values used as bitmasks in programming
