Binary to Decimal and Hex to Quaternary Converter
Binary to Decimal and Hex to Quaternary Converter
This online tool allows you to convert binary numbers to decimal and hexadecimal numbers to quaternary, providing a seamless way to switch between different number systems. With its user-friendly interface, you can easily perform conversions and get the results in real-time, making it an essential resource for students, programmers, and professionals alike.
Binary to Decimal Converter
Hex to Quaternary Converter
How it Works
The binary to decimal conversion is based on the formula: decimal = binary2 * 2n-1 + binary1 * 2n-2 + ... + binaryn * 20, where n is the number of bits in the binary number.
The hexadecimal to quaternary conversion is a two-step process. First, the hexadecimal number is converted to decimal using the formula: decimal = hexadecimal16 * 16n-1 + hexadecimal1 * 16n-2 + ... + hexadecimaln * 160, where n is the number of digits in the hexadecimal number. Then, the decimal number is converted to quaternary using the formula: quaternary = decimal % 4 + (decimal / 4) % 4 + ... + (decimal / 4n-1) % 4, where n is the number of digits in the quaternary number.
| Binary Number | Decimal Equivalent |
|---|---|
| 1010 | 10 |
| 1101 | 13 |
| 1111 | 15 |
| Hexadecimal Number | Quaternary Representation |
|---|---|
| A2C | 2103 |
| FF | 333 |
| 100 | 1000 |
Common Use Cases
- Converting binary numbers to decimal for programming purposes
- Converting hexadecimal numbers to quaternary for data analysis
- Teaching number systems to students
- Performing calculations in computer science and mathematics
- Converting between different number systems for research and development
- Simplifying complex calculations using different number systems
- Converting binary data to decimal for data storage and retrieval
- Converting hexadecimal codes to quaternary for cryptography and security
- Performing conversions between number systems for scientific simulations
- Converting between different number systems for artificial intelligence and machine learning