Sequence of counter given
$00-10-11-01-00$
From sequence given, we get the state table as
| $Q_2 $ |
$Q_1 $ |
$Q_2^+$ |
$Q_1^+$ |
|---|
| $0$ |
$0$ |
$1$ |
$0$ |
| $0$ |
$1$ |
$0$ |
$0$ |
| $1$ |
$0$ |
$1$ |
$1$ |
| $1$ |
$1$ |
$0$ |
$1$ |
Now we have present state and next state, use excitation table of T flip-flop
| $Q_2$ |
$Q_1$ |
$Q_2^+$ |
$Q_1^+$ |
$T_2$ |
$T_1$ |
|---|
| $0$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
| $0$ |
$1$ |
$0$ |
$0$ |
$0$ |
$1$ |
| $1$ |
$0$ |
$1$ |
$1$ |
$0$ |
$1$ |
| $1$ |
$1$ |
$0$ |
$1$ |
$1$ |
$0$ |
From table, $T_2= Q_2 \odot Q_1 $ and $T_1= Q_2 \oplus Q_1$
$G_1 = T_1 = Q_2 \oplus Q_1 $
$G_2 = T_2 = Q_2 \odot Q_1$
