Binary to Decimal and Base-9 to Binary Converter
Binary to Decimal and Base-9 to Binary Converter Tool
This free online tool is designed to convert binary numbers to decimal and base-9 numbers to binary, making it easy to work with different number systems. With its user-friendly interface, you can quickly and easily perform conversions and get the results you need. Whether you're a student, programmer, or simply looking to learn more about number systems, this tool is perfect for you. Try it out today and discover how easy it is to convert between binary, decimal, and base-9 numbers.
How it Works
The conversion process is based on the following formulas:
- Binary to Decimal: decimal = ∑(binary_digit * 2^position), where position starts from 0 and increases from right to left.
- Base-9 to Decimal: decimal = ∑(base9_digit * 9^position), where position starts from 0 and increases from right to left.
- Decimal to Binary: binary = decimal.toString(2), where toString(2) converts the decimal number to a binary string.
Here is a table showing some examples of binary to decimal conversions:
| Binary Number | Decimal Equivalent |
|---|---|
| 1010 | 10 |
| 1101 | 13 |
| 1001 | 9 |
| 1111 | 15 |
| 1000 | 8 |
And here is a table showing some examples of base-9 to binary conversions:
| Base-9 Number | Binary Equivalent |
|---|---|
| 12 | 1010 |
| 23 | 10011 |
| 34 | 11110 |
| 45 | 100011 |
| 56 | 101110 |
Use Cases
This tool has a wide range of applications in various fields, including:
- Computer Programming: Convert binary numbers to decimal and vice versa when working with programming languages such as C, Java, and Python.
- Computer Networking: Use binary numbers to represent IP addresses, subnet masks, and other network configurations.
- Cryptography: Convert binary numbers to decimal and vice versa when working with encryption algorithms such as AES and RSA.
- Data Compression: Use binary numbers to represent compressed data and convert it to decimal for analysis.
- Error Detection and Correction: Convert binary numbers to decimal and vice versa when working with error detection and correction algorithms such as CRC and checksum.
- Embedded Systems: Use binary numbers to represent sensor data, convert it to decimal for analysis, and control the system accordingly.
- Game Development: Convert binary numbers to decimal and vice versa when working with game development frameworks such as Unity and Unreal Engine.
- Mathematics and Statistics: Use binary numbers to represent mathematical concepts such as Boolean algebra and convert it to decimal for analysis.
- Networking Protocols: Convert binary numbers to decimal and vice versa when working with networking protocols such as TCP/IP and HTTP.
- Robotics and Automation: Use binary numbers to represent sensor data, convert it to decimal for analysis, and control the robot accordingly.