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Previous Year Question (PYQs)
1
Consider a $3$-bit counter, designed using $T$ flip flops as shown below.
Assume the initial state of the counter given by $PQR$ as $000$, what are the next three states?
Solution
From the circuit,
$T_P=R$
$T_Q=P'$
$T_R=Q'$
For $T$ flip-flop:
If $T=0$, output remains same.
If $T=1$, output toggles.
Initial state:
$PQR=000$
Step 1:
$T_P=R=0,\ T_Q=P'=1,\ T_R=Q'=1$
So,
$PQR=011$
Step 2:
For $PQR=011$,
$T_P=R=1,\ T_Q=P'=1,\ T_R=Q'=0$
So,
$PQR=101$
Step 3:
For $PQR=101$,
$T_P=R=1,\ T_Q=P'=0,\ T_R=Q'=1$
So,
$PQR=000$
Therefore, next three states are:
$011, 101, 000$
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