Question 6 [20 points] Design a 3-bit shift register circuit A (represented as A AA) using T flip-flops. The shift register should shift right after each clock. The serial input of the shift register is x. Please provide necessary intermediate steps, such as state diagram, state table, and input equations. Draw the circuit diagram. (hint: the circuit is a synchronous sequential circuit) Question 7 [10 points] Using D flip-flops, design a sequential circuit that will detect a sequence 1101 in a string of bits. For example Input sequence X 01010110101101101100100.... 00000000100001001000000 Output sequence y Draw the circuit. (Hint: Use shift register)