The Gray code for decimal number 11 is equivalent to:
Question
The Gray code for decimal number 11 is equivalent to:
Solution 1
To find the Gray code equivalent of the decimal number 11, follow these steps:
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Convert the decimal number to binary. The binary equivalent of 11 is 1011.
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To convert binary to Gray code, keep the most significant bit (MSB) as it is. In this case, it's 1.
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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.
Solution 2
To find the Gray code equivalent of the decimal number 11, follow these steps:
-
Convert the decimal number to binary. The binary equivalent of 11 is 1011.
-
To convert binary to Gray code, keep the most significant bit (MSB) as it is. In this case, the MSB is 1.
-
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.
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