Design a $4-$bit sequential up counter using JK flipflop to count the sequences from $3$ to $9$

and all other states should reset to count $3.$

A$)$

B$)$ Design a sequence detector circuit to detect the sequence $1101$ from the input binary

data stream. Also it should be capable to detect the overlapped sequences.

C$)$ Construct a T flip$-$flop using basic NOR latches.