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    What would be the gray code equal to the number 14 ?
    Question

    What would be the gray code equal to the number 14 ?

    A.

    1000

    B.

    1110

    C.

    1111

    D.

    1001

    Correct option is D

    Let the input to the circuit be 14Binary value of 14 is 1110For an input 1110, we get the output as:y1=1y2=11=0y3=11=0y4=10=1Hence the gray code for 14 is 1001\text{Let the input to the circuit be 14} \\ \text{Binary value of 14 is } 1110 \\ \\ \therefore \text{For an input } 1110, \text{ we get the output as:} \\ y_1 = 1 \\ y_2 = 1 \oplus 1 = 0 \\ y_3 = 1 \oplus 1 = 0 \\ y_4 = 1 \oplus 0 = 1 \\ \\ \text{Hence the gray code for 14 is } 1001​​

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