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 ${\color{Blue}1001}$