Binary to Decimal Converter
Binary to Decimal and IEEE 754 to Binary Converter Tool
This tool is designed to convert binary numbers to decimal and IEEE 754 floating-point numbers to binary. It's a useful resource for computer science students, programmers, and anyone working with binary and decimal conversions. With this tool, you can easily convert between binary and decimal, as well as IEEE 754 floating-point numbers to binary, and vice versa. Our converter tool is free, easy to use, and provides accurate results, making it an essential resource for anyone working with binary and decimal conversions.
IEEE 754 to Binary Converter
How the Tool Works
The binary to decimal conversion is done using the formula: decimal = binary * 2^position, where position starts from 0 and increases from right to left.
The IEEE 754 to binary conversion is done by first converting the floating-point number to a binary representation using the IEEE 754 floating-point format, which consists of a sign bit, an exponent, and a mantissa.
| Binary Number | Decimal Equivalent |
|---|---|
| 1010 | 10 |
| 1101 | 13 |
| 1111 | 15 |
For example, the binary number 1010 can be converted to decimal using the formula: decimal = 1*2^3 + 0*2^2 + 1*2^1 + 0*2^0 = 8 + 0 + 2 + 0 = 10.
Common Use Cases for the Tool
- Converting binary numbers to decimal for programming and computer science applications
- Converting IEEE 754 floating-point numbers to binary for embedded systems and microcontroller programming
- Debugging binary code and understanding binary representations of data
- Testing and verifying binary conversion algorithms and functions
- Converting binary data to decimal for data analysis and visualization
- Understanding binary arithmetic and bitwise operations
- Converting text and string data to binary for encryption and decryption
- Converting image and video data to binary for compression and transmission
- Converting audio data to binary for digital signal processing and analysis
- Converting scientific and mathematical data to binary for numerical computations and simulations