Step-by-Step Solution
The block diagrams of the JK flip flops are shown in Figure 1.
(a)
Write the expression of the output of the J-K flipflop for the first flip-flop.
…… (1)
Substitute 
for 
, 
for 
, and 
for 
for the first flip flop in equation (1).
Write the expression of the output of the J-K flipflop for the second flip-flop.
…… (2)
Substitute 
for 
, 
for 
, and 
for 
for the second flip flop in equation (1).
NOTE: Here, 
is input not the don’t care.
The state table for the sequential circuit is shown in Table 1.
The next state can also be determined from the characteristic table of J-K flipflop.
The JK flip-flop characteristic table is shown in Table 2.
From the state table of Table 1, the next state 
of the JK flip-flop A is,
The next state 
of the JK flip-flop B is,
Therefore, the state equations 
and 
are 
and
.
Draw the corresponding state diagram is shown in Figure 2.
Thus, state diagram of the circuit is implemented.
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