Binary to Decimal and Decimal to Octal Converter
Binary to Decimal and Decimal to Octal Converter Tool
This online converter tool is designed to convert binary numbers to decimal and decimal numbers to octal, making it easy to work with different number systems. With its simple and intuitive interface, you can quickly and accurately convert between these number systems, making it a valuable resource for programmers, developers, and students alike. The tool is also optimized for search engines, allowing you to find it easily when searching for binary to decimal or decimal to octal conversion tools.
Binary to Decimal Converter
Decimal to Octal Converter
How the Converter Works
The binary to decimal converter works by using the following formula: decimal = binary * 2^n, where n is the position of the binary digit. 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.
| Binary Number | Decimal Equivalent |
|---|---|
| 1010 | 10 |
| 1101 | 13 |
| 1001 | 9 |
| 1111 | 15 |
| 1011 | 11 |
The decimal to octal converter works by using the following formula: octal = decimal / 8, where the remainder is the next digit in the octal number. For example, the decimal number 10 can be converted to octal as follows: 10 / 8 = 1 with a remainder of 2, so the octal equivalent is 12.
Common Use Cases for the Converter Tool
- Converting binary code from a programming language to decimal for debugging purposes.
- Converting decimal numbers to octal for use in Unix file permissions.
- Converting binary data from a sensor or other device to decimal for analysis.
- Converting decimal numbers to octal for use in embedded systems programming.
- Converting binary code from a microcontroller to decimal for debugging purposes.
- Converting decimal numbers to octal for use in network programming.
- Converting binary data from a database to decimal for analysis.
- Converting decimal numbers to octal for use in cryptography.
- Converting binary code from a compiler to decimal for optimization purposes.
- Converting decimal numbers to octal for use in data compression algorithms.