Design a sequential circuit with two JK flip$-$flops A and B and one input X$.$When X $=0,$the circuit goes through count down states: $0001101100$then repeats. When X $=1,$the circuit goes repeatedly through count up states: $0011100100$Knowing that the transition table of the J$-$K flip$-$flop is as follows:

Q Q$+|$J K

$-------------$

$00|0$X

$01|1$X

$10|$X $1$

$11|$X $0$

Draw the pin diagram for the synchronous counter.