Binary and IEEE 754 Converter
Binary and IEEE 754 Converter Tool
This free online Binary and IEEE 754 Converter tool allows you to convert binary numbers to decimal and IEEE 754 floating-point numbers to hexadecimal. It supports both 32-bit and 64-bit formats, making it a versatile tool for developers, programmers, and students. With its user-friendly interface and rapid conversion capabilities, this tool is an essential resource for anyone working with binary and IEEE 754 numbers.
Enter a binary number to convert to decimal.
The decimal equivalent of the binary number.
IEEE 754 Converter
Enter an IEEE 754 floating-point number to convert to hexadecimal.
Select the format of the IEEE 754 floating-point number.
The hexadecimal representation of the IEEE 754 floating-point number.
How it Works
The Binary to Decimal conversion is based on the formula: decimal = binary_number (base 2). For example, the binary number 1010 is converted to decimal as follows: (1 * 2^3) + (0 * 2^2) + (1 * 2^1) + (0 * 2^0) = 8 + 0 + 2 + 0 = 10.
| Binary Number | Decimal Equivalent |
|---|---|
| 1010 | 10 |
| 1101 | 13 |
| 1001 | 9 |
| 1111 | 15 |
| 1000 | 8 |
The IEEE 754 conversion uses the following steps:
- Parse the input IEEE 754 floating-point number.
- Choose the format (32-bit or 64-bit).
- Use a DataView to set the floating-point number in the chosen format.
- Convert the resulting binary data to a hexadecimal string.
Common Use Cases
- Binary Debugging: Convert binary numbers to decimal for easier debugging and troubleshooting.
- IEEE 754 Floating-Point Development: Convert IEEE 754 floating-point numbers to hexadecimal for use in development and testing.
- Embedded Systems Programming: Use this tool to convert binary and IEEE 754 numbers for embedded systems development.
- Cryptography: Convert binary numbers to decimal for cryptographic applications.
- Scientific Computing: Convert IEEE 754 floating-point numbers to hexadecimal for scientific simulations and data analysis.
- Computer Networking: Convert binary numbers to decimal for network protocol development and testing.
- Data Compression: Convert binary numbers to decimal for data compression and encoding algorithms.
- Artificial Intelligence and Machine Learning: Use this tool to convert binary and IEEE 754 numbers for AI and ML applications.
- Digital Signal Processing: Convert IEEE 754 floating-point numbers to hexadecimal for digital signal processing applications.
- Education and Research: Use this tool to convert binary and IEEE 754 numbers for educational and research purposes.