Binary to Hexadecimal Conversion
- It is important before revising how to convert from binary to hexadecimal and vice versa that you fully understand the binary and hexadecimal number systems.
How do you convert from binary to hexadecimal?
| 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | 13 | 14 | 15 |
| 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | A | B | C | D | E | F |
Example 1
- To convert the binary number 10110111 to hexadecimal, first split the 8 bit number into 2 binary nibbles
| 8 | 4 | 2 | 1 | 8 | 4 | 2 | 1 | |
| 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 |
- For each nibble, convert the binary to it’s denary value
- (1 x 8) + (1 x 2) + (1 x 1) = 11 (B)
- (1 x 4) + (1 x 2) + (1 x 1) = 7
- Join them together to make a 2 digit hexadecimal number
- Binary 10110111 is B7 in hexadecimal
Example 2
- To convert the binary number 00111001 to hexadecimal, first split the 8 bit number into 2 binary nibbles
| 8 | 4 | 2 | 1 | 8 | 4 | 2 | 1 | |
| 0 | 0 | 1 | 1 | 1 | 0 | 0 | 1 |
- For each nibble, convert the binary to it’s denary value
- (1 x 2) + (1 x 1) = 3
- (1 x 8) + (1 x 1) = 9
- Join them together to make a 2 digit hexadecimal number
- Binary 00111001 is 39 in hexadecimal
