Binary to Decimal and Decimal to Base-12 Converter
Binary to Decimal and Decimal to Base-12 Converter Tool
Our binary to decimal and decimal to base-12 converter is a free online tool that allows you to easily convert between binary, decimal, and base-12 number systems. With its user-friendly interface and fast conversion capabilities, this tool is perfect for students, programmers, and anyone who needs to work with different number systems. Whether you're looking to convert binary to decimal, decimal to base-12, or perform other conversions, our tool has got you covered.
How the Tool Works
The binary to decimal conversion is performed using the formula: decimal = binary * 2^n, where n is the position of the binary digit starting from 0 on the right. 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.
The decimal to base-12 conversion is performed using the formula: base12 = decimal / 12, where the remainder is used to determine the next digit in the base-12 representation. For example, the decimal number 10 can be converted to base-12 as follows: 10 / 12 = 0 remainder 10, so the base-12 representation is A.
| Binary | Decimal | Base-12 |
|---|---|---|
| 1010 | 10 | A |
| 1100 | 12 | 10 |
| 1001 | 9 | 9 |
| 1111 | 15 | 13 |
| 1000 | 8 | 8 |
Common Use Cases
- Programming: Convert binary data to decimal or base-12 for easier manipulation and debugging.
- Computer Networking: Convert IP addresses from binary to decimal or base-12 for easier routing and configuration.
- Mathematics: Convert binary or decimal numbers to base-12 for mathematical calculations and problem-solving.
- Cryptography: Convert binary data to decimal or base-12 for secure encryption and decryption.
- Computer Science: Convert binary data to decimal or base-12 for algorithms and data structures implementation.
- Scientific Calculations: Convert binary or decimal numbers to base-12 for scientific calculations and data analysis.
- Education: Use the tool as a teaching aid to help students understand binary, decimal, and base-12 number systems.
- Research: Convert binary or decimal data to base-12 for research and analysis in various fields.
- Development: Use the tool to convert binary or decimal data to base-12 for software and application development.
- Testing and Quality Assurance: Convert binary or decimal data to base-12 for testing and quality assurance purposes.