Number Converter
Binary to Decimal and Base-3 to Binary Converter
The Binary to Decimal and Base-3 to Binary Converter is a free online tool that converts binary numbers to decimal and base-3 numbers to binary. This tool is designed to simplify the process of converting between different number systems, making it easier for students, programmers, and engineers to work with different numerical representations. With its user-friendly interface and fast conversion capabilities, this tool is an essential resource for anyone working with binary, decimal, and base-3 numbers.
Binary to Decimal Converter
Base-3 to Binary Converter
How the Tool Works
The Binary to Decimal Converter uses the following formula to convert binary numbers to decimal: Decimal = (Binary Number) in base 2, where the binary number is a string of 0s and 1s. For example, the binary number 1010 can be converted to decimal as follows: Decimal = (1*2^3) + (0*2^2) + (1*2^1) + (0*2^0) = 8 + 0 + 2 + 0 = 10.
The Base-3 to Binary Converter uses the following formula to convert base-3 numbers to binary: Decimal = (Base-3 Number) in base 3, where the base-3 number is a string of 0s, 1s, and 2s. Then, the decimal number is converted to binary using the same method as above. For example, the base-3 number 1120 can be converted to decimal as follows: Decimal = (1*3^3) + (1*3^2) + (2*3^1) + (0*3^0) = 27 + 9 + 6 + 0 = 42, and then converted to binary as follows: Binary = 101010.
Binary Number | Decimal Equivalent |
---|---|
1010 | 10 |
1101 | 13 |
1001 | 9 |
1111 | 15 |
1000 | 8 |
Base-3 Number | Binary Equivalent |
---|---|
1120 | 101010 |
2121 | 100001 |
1212 | 100100 |
2222 | 100111 |
1111 | 100010 |
Common Use Cases for the Binary to Decimal and Base-3 to Binary Converter
- Converting binary code from a programming project to decimal for easier debugging
- Translating base-3 numbers from a mathematical equation to binary for further analysis
- Generating binary code for a computer program using base-3 numbers as input
- Verifying the accuracy of binary to decimal conversions in a software application
- Converting binary data from a sensor or device to decimal for data analysis
- Teaching students about different number systems and conversion methods
- Validating the correctness of base-3 to binary conversions in a research paper
- Developing algorithms for converting between binary, decimal, and base-3 numbers
- Testing the performance of a binary to decimal converter in a real-world application
- Creating a binary to decimal converter for a specific industry or use case, such as finance or cryptography