Binary to Hexadecimal Converter
Convert binary numbers to hexadecimal and vice versa with step-by-step explanations
Number System Converter
Binary numbers use only digits 0 and 1
Converted hexadecimal value
Binary-Hexadecimal Conversion Table
| Hexadecimal | Binary (4-bit) | Decimal |
|---|---|---|
| 0 | 0000 | 0 |
| 1 | 0001 | 1 |
| 2 | 0010 | 2 |
| 3 | 0011 | 3 |
| 4 | 0100 | 4 |
| 5 | 0101 | 5 |
| 6 | 0110 | 6 |
| 7 | 0111 | 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 |
Common Examples
Number Systems
Binary
Uses digits 0 and 1
Base 2 system
Hexadecimal
Uses digits 0-9, A-F
Base 16 system
Decimal
Uses digits 0-9
Base 10 system (standard)
Conversion Tips
Group binary digits in sets of 4 from right to left
Each hex digit represents exactly 4 binary digits
Hexadecimal is more compact than binary
A-F in hex represent decimal values 10-15
Pad binary numbers with leading zeros if needed
Understanding Binary and Hexadecimal Conversion
Why Use Hexadecimal?
Hexadecimal numbers provide a more compact way to represent binary data. Since one hexadecimal digit represents exactly 4 binary digits, it's much easier to read and write large binary numbers in hexadecimal format.
Applications
- •Computer memory addresses
- •Color codes in web design (e.g., #FF0000)
- •Machine code and assembly language
- •Network protocols and debugging
Conversion Methods
Binary to Hexadecimal:
- Group binary digits in sets of 4 from right to left
- Pad with leading zeros if needed
- Convert each group to hex (0-F)
- Combine the hex digits
Hexadecimal to Binary:
- Take each hex digit separately
- Convert to 4-bit binary representation
- Combine all binary groups
- Remove leading zeros if needed
Memory Tip: Remember that F (15 in decimal) is 1111 in binary - the highest value for a single hex digit.