Binary to Hex Converter
Convert binary (base-2) to hexadecimal (base-16) instantly. Free and accurate conversion with options for different formats.
Example Binary to Hex Conversions
How Binary to Hexadecimal Conversion Works
Converting binary to hexadecimal is a fundamental operation in computer science and digital electronics. The process follows these steps:
- Group the binary digits into sets of 4 bits (starting from the right)
- If needed, pad the leftmost group with leading zeros to make a complete group of 4
- Convert each 4-bit binary group to its hexadecimal equivalent (0-F)
- Concatenate the hexadecimal digits to form the final result
This works because 24 = 16, which means that 4 binary digits can represent exactly 16 different values (0-15), which is the range of a single hexadecimal digit (0-F).
Binary to Hexadecimal Conversion Table
| Binary | Hexadecimal | Decimal |
|---|---|---|
| 0000 | 0 | 0 |
| 0001 | 1 | 1 |
| 0010 | 2 | 2 |
| 0011 | 3 | 3 |
| 0100 | 4 | 4 |
| 0101 | 5 | 5 |
| 0110 | 6 | 6 |
| 0111 | 7 | 7 |
| 1000 | 8 | 8 |
| 1001 | 9 | 9 |
| 1010 | A | 10 |
| 1011 | B | 11 |
| 1100 | C | 12 |
| 1101 | D | 13 |
| 1110 | E | 14 |
| 1111 | F | 15 |
Practical Applications
Hexadecimal is widely used in programming languages to represent binary values in a more compact and readable form. Memory addresses, color codes, and byte values are commonly expressed in hexadecimal.
Engineers use hexadecimal to represent binary patterns when designing and debugging digital circuits, microcontrollers, and embedded systems.
MAC addresses, IPv6 addresses, and network protocol specifications often use hexadecimal notation to represent binary data efficiently.
Color codes in web design use hexadecimal notation (e.g., #FF0000 for red) to specify RGB color values in a compact format.
Frequently Asked Questions
Hexadecimal is used because it's much more compact than binary while maintaining a direct mapping to binary values. One hexadecimal digit represents 4 binary digits, making large binary numbers much easier to read and write. For example, the binary number 1111111111111111 can be written simply as FFFF in hexadecimal.
The '0x' prefix is a convention used in programming languages (like C, Java, JavaScript) to indicate that a number is in hexadecimal format. Without this prefix, a number like "FF" could be interpreted as letters rather than the hexadecimal representation of 255.
For large binary numbers, follow the same process of grouping bits in sets of 4, starting from the right. If the leftmost group has fewer than 4 bits, pad it with leading zeros. Then convert each group to its hexadecimal equivalent and concatenate the results. Our converter automates this process for you, handling numbers of any length.
Yes, you can convert hexadecimal back to binary using our Hex to Binary Converter. The process is the reverse of binary to hex conversion: each hexadecimal digit is converted to its 4-bit binary equivalent.
Converting 10110111 to Hexadecimal
- 1. Group into 4 bits: 1011 0111
- 2. Convert each group:1011 = B0111 = 7
- 3. Combine the digits: B7
- 4. Add prefix (optional): 0xB7
Therefore, 10110111 in binary equals 0xB7 in hexadecimal.