Question # $1$

Design a FSM which detects a sequence of $0010$ in a serial input. Draw complete circuit diagram, you should use least circuit components. You should use D flip flops.

Question # $2$

Design a counter that counts the following sequence:

$0100,1111,1110,1010,1011,1101,0110,0010,0111,0011,0101,0000,0001,1100,1000,$

$1001,$ after that it goes back to $0100$

a$)$ Make the next state table for this counter.

b$)$ Design a digital circuit using JK flip flops and minimum circuit components $($show complete working of Kmaps$).$

Question # $3$

Repeat Question # $2$ by using D flip flops.