Binary to Decimal and Decimal to Base-7 Converter
Binary to Decimal and Decimal to Base-7 Converter Tool
This free online binary to decimal and decimal to base-7 converter tool is designed to convert binary numbers to decimal and decimal numbers to base-7 with ease. Whether you're a student, a programmer, or a math enthusiast, this tool is perfect for converting numbers between different number systems, including binary, decimal, and base-7. With its simple and intuitive interface, you can quickly and accurately perform conversions and get the results you need.
Binary to Decimal Converter
Decimal to Base-7 Converter
How the Binary to Decimal and Decimal to Base-7 Converter Works
The binary to decimal conversion is based on the formula: decimal = 2^n * b_n + 2^(n-1) * b_(n-1) + ... + 2^0 * b_0, where b_i is the i-th bit of the binary number and n is the number of bits.
For example, the binary number 1010 can be converted to decimal as follows:
| Binary Number | Decimal Equivalent |
|---|---|
| 1010 | 10 |
| 1100 | 12 |
| 1111 | 15 |
| 1000 | 8 |
| 1001 | 9 |
The decimal to base-7 conversion uses the following formula: base-7 = decimal % 7 + (integer division of decimal by 7). This process is repeated until the decimal number is less than 7.
For example, the decimal number 10 can be converted to base-7 as follows: 10 % 7 = 3, 10 / 7 = 1, so the base-7 equivalent is 13.
Common Use Cases for the Binary to Decimal and Decimal to Base-7 Converter Tool
- Converting binary code to decimal for programming and development purposes.
- Converting decimal numbers to base-7 for mathematical and scientific applications.
- Verifying the correctness of binary and decimal conversions.
- Educational purposes, such as teaching students about different number systems and conversions.
- Converting binary data to decimal for data analysis and processing.
- Converting decimal numbers to base-7 for cryptography and encryption purposes.
- Converting binary numbers to decimal for computer networking and telecommunications.
- Converting decimal numbers to base-7 for financial and accounting applications.
- Converting binary code to decimal for embedded systems and microcontrollers.
- Converting decimal numbers to base-7 for research and development in mathematics and computer science.