Number Converter
Binary and Base-3 to Decimal Converter Tool
Discover the power of converting binary and base-3 numbers to decimal with our easy-to-use online tool. This versatile converter supports the conversion of both binary (base-2) and base-3 numbers to decimal, making it an essential resource for programmers, mathematicians, and anyone interested in number systems. With its user-friendly interface and instant results, our binary and base-3 to decimal converter is the perfect solution for anyone looking to explore the world of alternative number systems.
Binary to Decimal Converter
Base-3 to Decimal Converter
How it Works
The binary and base-3 to decimal converter uses a simple yet effective formula to convert numbers from one base to another. The formula for converting a binary number to decimal is:
Decimal = (an * 2n) + (an-1 * 2n-1) + ... + (a0 * 20), where ai represents the i-th digit of the binary number.
Similarly, the formula for converting a base-3 number to decimal is:
Decimal = (an * 3n) + (an-1 * 3n-1) + ... + (a0 * 30), where ai represents the i-th digit of the base-3 number.
Example Conversions
| Binary Number | Decimal Equivalent |
|---|---|
| 1010 | 10 |
| 1101 | 13 |
| 1111 | 15 |
| Base-3 Number | Decimal Equivalent |
|---|---|
| 101 | 10 |
| 120 | 15 |
| 201 | 19 |
10 Common Use Cases for the Binary and Base-3 to Decimal Converter
- Converting binary code from a programming project to decimal for easier debugging.
- Translating base-3 numbers to decimal for mathematical calculations.
- Supporting computer science education by providing an interactive tool for learning about number systems.
- Assisting in the conversion of binary data from a database to decimal for analysis.
- Facilitating the conversion of base-3 numbers to decimal for scientific research and experimentation.
- Providing an essential tool for cryptography and cybersecurity applications that require number system conversions.
- Enabling the conversion of binary numbers to decimal for use in web development and networking projects.
- Supporting the conversion of base-3 numbers to decimal for artificial intelligence and machine learning applications.
- Assisting in the conversion of binary data from sensors and IoT devices to decimal for data analysis and processing.
- Enabling the conversion of base-3 numbers to decimal for use in data compression and encryption algorithms.