UPSE CLASS

What is Gray Code? Gray code is a non-weighted and cyclic code. It is also known as the unit distance code. Unlike other codes, Gray code does not follow the position weighting principle. In Gray code, two successive codes differ by only one digit. Applications of Gray Code • Position Encoders: Gray code is used in position encoders to track the linear or angular position of objects. It minimizes position errors during transitions. • Rotary Encoders: Gray code is used in rotary encoders to measure angular positions. • Digital Communication: Gray code is used in digital communication systems to reduce errors. Binary to Gray Code Conversion To convert a binary number to Gray code, follow these steps: 1. Write down the binary number. 2. Copy the most significant bit (MSB) as it is in the Gray code. 3. For the remaining bits, perform an XOR operation between consecutive bits to obtain the Gray code bits. Example: Let's convert the binary number 1010 to Gray code: • Binary number: 1010 • Gray code: 1111 Another example: Let's convert the binary number 0100 to Gray code: • Binary number: 0100 • Gray code: 0110 Conclusion Gray code is a useful code in various applications, especially in position encoders. It minimizes position errors and provides a reliable representation of positions. It is also used in rotary encoders and digital communication systems. Binary to Gray Code Conversion To convert a binary number to its equivalent gray code, follow these steps: 1. Start with the most significant bit (MSB) of the binary number. 2. The MSB of the gray code is the same as the MSB of the binary number. 3. For each subsequent bit, perform an XOR operation between the previous bit of the binary number and the current bit of the gray code. 4. Write down the result as the next bit of the gray code. 5. Repeat steps 3 and 4 until all bits have been processed. For example, let's convert the binary number 1010 into its equivalent gray code: Binary number: 1 0 1 0 Gray code: 1 1 1 1 Therefore, the gray code equivalent of the binary number 1010 is 1111. Gray Code to Binary Conversion To convert a gray code to its equivalent binary number, follow these steps: 1. Start with the MSB of the gray code. 2. The MSB of the binary number is the same as the MSB of the gray code. 3. For each subsequent bit, perform an XOR operation between the previous bit of the binary number and the current bit of the gray code. 4. Write down the result as the next bit of the binary number. 5. Repeat steps 3 and 4 until all bits have been processed. For example, let's convert the gray code 1110 into its equivalent binary number: Gray code: 1 1 1 0 Binary number: 1 0 1 1 Therefore, the binary equivalent of the gray code 1110 is 1011. Example 1 Let's find the binary equivalent of the gray code 0101: Gray code: 0 1 0 1 Binary number: 0 1 1 0 Example 2 Let's find the binary equivalent of the gray code 1101: Gray code: 1 1 0 1 Binary number: 1 0 1 1 Now you can try to find the binary equivalent of other gray codes and let me know your answers in the comments section below. I hope you found this video helpful in understanding gray code and how to perform binary to gray code and gray code to binary conversions. If you have any questions or suggestions, feel free to leave them in the comments. Don't forget to like this video and subscribe to the channel for more educational content.