Question

Explain advantages of using gray codes instead of using binary code. Show the code pattern for the encoder disk for the 4-bit pattern of 0010 for gray code and binary code.

Answer 1

Gray codes are advantageous over binary codes due to smoother transitions between values, utility in analog to digital conversion to prevent errors from noise, and aiding in error correction. For the 4-bit binary pattern 0010, the respective Gray code pattern is 0111.

Step-by-step explanation:

The advantages of using Gray codes over binary code include:

• Reduced chance of error when moving between successive values, as Gray codes only change one bit at a time.
• Particularly useful in analog to digital conversion, like in shaft encoders, to prevent spurious output due to small changes or noise.
• Advantageous in error correction in digital communications.

For the 4-bit pattern 0010 in Gray code, we have to convert the binary number to Gray code. To do this, we keep the first binary digit as is and then for every subsequent digit, we apply an XOR operation with the previous binary digit. Thus, for the binary 0010, the equivalent Gray code is 0111.

The encoder disk pattern:

BinaryGray Code00100111