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The Gray code for decimal number 11 is equivalent to:

Question

The Gray code for decimal number 11 is equivalent to:

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Solution 1

To find the Gray code equivalent of the decimal number 11, follow these steps:

  1. Convert the decimal number to binary. The binary equivalent of 11 is 1011.

  2. To convert binary to Gray code, keep the most significant bit (MSB) as it is. In this case, it's 1.

  3. From the second bit onwards, perform an XOR operation on the current bit with the bit before it.

    • XOR of second bit (0) and first bit (1) is 1.
    • XOR of third bit (1) and second bit (0) is 1.
    • XOR of fourth bit (1) and third bit (1) is 0.

So, the Gray code equivalent of the decimal number 11 is 1110.

This problem has been solved

Solution 2

To find the Gray code equivalent of the decimal number 11, follow these steps:

  1. Convert the decimal number to binary. The binary equivalent of 11 is 1011.

  2. To convert binary to Gray code, keep the most significant bit (MSB) as it is. In this case, the MSB is 1.

  3. From the second bit onwards, perform an XOR operation on the current bit and the bit before it.

    • XOR of second bit (0) and first bit (1) is 1.
    • XOR of third bit (1) and second bit (0) is 1.
    • XOR of fourth bit (1) and third bit (1) is 0.

So, the Gray code equivalent of the decimal number 11 is 1110.

This problem has been solved

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