Decimal to Gray Code Converter and Binary to Decimal Converter
Binary and Decimal Converter Tool - Convert Binary to Decimal and Decimal to Gray Code
This free online binary and decimal converter tool allows you to easily convert between binary, decimal, and gray code. The binary to decimal converter and decimal to gray code converter are useful for computer science, programming, and engineering applications. With this tool, you can quickly and accurately convert binary numbers to decimal numbers and decimal numbers to gray code, making it an essential resource for students, professionals, and hobbyists alike.
Decimal to Gray Code Converter
Binary to Decimal Converter
How the Binary and Decimal Converter Tool Works
The binary to decimal converter uses the following formula to convert binary numbers to decimal numbers: Decimal = Σ (bit × 2^n), where bit is the binary digit and n is the position of the bit, starting from 0.
The decimal to gray code converter uses the following formula to convert decimal numbers to gray code: Gray Code = Binary XOR (Binary >> 1), where >> is the right shift operator.
| Binary | Decimal | Gray Code |
|---|---|---|
| 1010 | 10 | 1110 |
| 1101 | 13 | 1001 |
| 1001 | 9 | 0111 |
Common Use Cases for the Binary and Decimal Converter Tool
- Computer science and programming: Binary and decimal conversion is essential in programming and computer science, and this tool makes it easy to perform these conversions.
- Engineering: Engineers often need to convert between binary and decimal numbers when working with digital systems and electronics.
- Data analysis: This tool is useful for data analysis, as it allows you to quickly convert between binary and decimal numbers.
- Cryptography: Binary and decimal conversion is used in cryptography to encrypt and decrypt messages.
- Networking: This tool is useful for networking, as it allows you to convert between binary and decimal numbers when working with IP addresses and subnet masks.
- Embedded systems: This tool is useful for embedded systems, as it allows you to convert between binary and decimal numbers when working with microcontrollers and other embedded devices.
- Robotics: This tool is useful for robotics, as it allows you to convert between binary and decimal numbers when working with robotic systems and sensors.
- Mathematics: This tool is useful for mathematics, as it allows you to explore the properties of binary and decimal numbers.
- Education: This tool is useful for education, as it allows students to learn about binary and decimal conversion in a interactive and engaging way.
- Research: This tool is useful for research, as it allows researchers to quickly convert between binary and decimal numbers when working with large datasets.