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Q1 Q0 D1=$Q1\bigoplus X$ D0=$Q0\bigoplus Q1$ Y=X'Q1'+Q0
0 0 0 0 1
0 0 1 0 0
1 0 1 1 0
1 1 0 0 1

First write equations for two D-flipflops.

D1=Q1$\bigoplus X$ .every time LSB value is consider for X.

D0=$Q0\bigoplus Q1$.

Y=X'Q1'+Q0   // Column values of Y is the required o/p.

Hence the O/P should be  ${\color{Blue}1001}$

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