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A synchronous counter using two J-K flip flops that goes through the sequence of states: $Q_1Q_2=00\rightarrow10\rightarrow01\rightarrow11\rightarrow00 \dots$ is required. To achive this, the inputs to the flip flops are

  1. $J_1=Q_2,\;\;\;K_1=0\;\;\;\;;\;J_2={Q_1}’, \;\;K_2=Q_1$
  2. $J_1=1,\;\;\;\;\;K_1=1\;\;\;\;\;;\;J_2={Q_1}, \;K_2=Q_1$
  3. $J_1=Q_2,\;\;K_1={Q_2}’\;;\;J_2=1, \;\;\;\;K_2=1$
  4. $J_1={Q_2}’,\;K_1=Q_2\;\;;\;J_2={Q_1}, \;K_2={Q_1}’$
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