Binary to Hexadecimal Converter
Convert binary numbers to hexadecimal numbers, supporting large numbers and decimal points
Binary Conversion
Conversion Result
Please enter a value and click the convert button to view the result
Usage Instructions
Select Conversion Type
Choose between binary to hexadecimal or hexadecimal to binary conversion.
Enter Value
Depending on the conversion type selected, enter binary digits (0 and 1) or hexadecimal digits (0-9 and A-F/a-f) in the input box.
Click Convert
Click the convert button, and the system will automatically calculate and display the conversion result.
Copy Result
After conversion is complete, you can click the copy button to copy the result to the clipboard.
Binary and Hexadecimal Conversion Knowledge
Basic Concepts of Number Systems
Binary
Binary is a base-2 number system that uses only the digits 0 and 1. It forms the foundation of how computers store and process data, as computer logic circuits have only two states: on (1) and off (0).
Hexadecimal
Hexadecimal is a base-16 number system that uses digits 0-9 and letters A-F (or a-f). Since one hexadecimal digit corresponds to four binary digits, it is commonly used to simplify binary representation in programming and system development.
Conversion Principles
Binary to Hexadecimal
Binary to hexadecimal conversion uses the grouping method, with the following steps:
- Group the binary number into sets of 4 digits from right to left
- Pad with leading zeros if the leftmost group has fewer than 4 digits
- Convert each group of 4 binary digits to its corresponding hexadecimal digit
Example:
Binary: 10110101 → Grouping: 1011 0101 → Conversion: B 5 → Hexadecimal: B5
Hexadecimal to Binary
Hexadecimal to binary conversion follows these steps:
- Convert each hexadecimal character to its corresponding 4-digit binary number
- Concatenate all binary numbers
- Remove leading zeros (for integer part) or trailing zeros (for decimal part)
Example:
Hexadecimal: A3 → Conversion: 1010 0011 → Binary: 10100011
Practical Application Scenarios
Computer Programming
In languages like C, C++, and Java, hexadecimal is used to represent memory addresses, color values, and byte data.
Hardware Development
In circuit design and embedded systems, hexadecimal is used for configuring registers and writing firmware.
Network Protocols
In network communication, binary representations of MAC and IP addresses are often abbreviated using hexadecimal.
Graphic Design
In web and graphic design, color values are typically represented in hexadecimal (e.g., #FF5733).
Encryption Algorithms
In cryptography, keys and hash values are often displayed and exchanged in hexadecimal format.
Debugging Analysis
During software debugging, hexadecimal is used to view and analyze memory data and binary files.
Binary-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 |
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