Definition
Hexadecimal (hex) is a base-16 number system using digits 0-9 and letters A-F (representing 10-15). It provides a more compact way to represent binary.
Key Point
| Hex | Decimal | 4-bit Binary |
|---|---|---|
| 0 | 0 | 0000 |
| 1 | 1 | 0001 |
| 2 | 2 | 0010 |
| 3 | 3 | 0011 |
| 4 | 4 | 0100 |
| 5 | 5 | 0101 |
| 6 | 6 | 0110 |
| 7 | 7 | 0111 |
| 8 | 8 | 1000 |
| 9 | 9 | 1001 |
| A | 10 | 1010 |
| B | 11 | 1011 |
| C | 12 | 1100 |
| D | 13 | 1101 |
| E | 14 | 1110 |
| F | 15 | 1111 |
Worked Example
Worked Example: Binary ↔ Hexadecimal
| Conversion | Working | Answer |
|---|---|---|
| Binary to Hex | 11010110 → 1101 0110 → D 6 | D6 |
| Hex to Binary | 4A → 4 = 0100, A = 1010 | 01001010 |
Worked Example
Worked Example: Hex ↔ Denary
| Conversion | Working | Answer |
|---|---|---|
| Hex to Denary | 2F = (2 × 16^1) + (15 × 16^0) = 32 + 15 | 47 |
| Denary to Hex | 200 ÷ 16 = 12 remainder 8; 12 = C | C8 |