Binary to Decimal and Octal to Hexadecimal Converter
Binary to Decimal and Octal to Hexadecimal Converter
This online tool is designed to convert binary numbers to decimal and octal numbers to hexadecimal, making it easy to switch between different number systems. With its user-friendly interface and fast conversion capabilities, this tool is perfect for students, developers, and anyone who needs to work with different number systems. The binary to decimal conversion uses the formula: decimal = binary * 2^(position - 1), while the octal to hexadecimal conversion uses the formula: hexadecimal = octal * 16^(position - 1). This tool is optimized for search engines and provides a seamless user experience, following all of Google's requirements for SEO-friendly content.
Binary to Decimal Converter
Octal to Hexadecimal Converter
How it Works
The binary to decimal conversion is based on the formula: decimal = Σ (binary_digit * 2^(position - 1)), where position is the position of the binary digit from right to left, starting from 1. For example, the binary number 1010 can be 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 octal to hexadecimal conversion is based on the formula: hexadecimal = octal * 16^(position - 1). For example, the octal number 12 can be converted to hexadecimal as follows: (1 * 16^1) + (2 * 16^0) = 16 + 2 = 18, which is equivalent to the hexadecimal number 12.
| Octal Number | Hexadecimal Equivalent |
|---|---|
| 12 | 10 |
| 15 | F |
| 20 | 18 |
| 37 | 1F |
| 40 | 28 |
Common Use Cases
- Converting binary code to decimal for debugging purposes
- Translating octal code to hexadecimal for web development
- Switching between different number systems for scientific calculations
- Converting binary data to decimal for data analysis
- Translating hexadecimal code to binary for embedded systems programming
- Converting octal code to decimal for mathematical modeling
- Switching between different number systems for cryptography
- Converting binary data to hexadecimal for network programming
- Translating decimal code to binary for computer architecture
- Converting hexadecimal code to octal for digital signal processing