PROBLEM $2(18$ PTS$)$ Sequence detector: The machine generates z $=1$ when it detects the sequence $0110.$ Once the sequence is detected, the circuit looks for a new sequence. The signal E is an input enable: It validates the input x$,$ i$.$e$.,$ if E$=1,$ x is valid, otherwise x is not valid. $.$ resetn $0110110101011010101101010111011010110$ x z FINTE STATE MACHINE E E clock z Draw the State Diagram $($any representation$)$ of this circuits with inputs E and x and output z$.(5$ pts$)$ Complete the State Table and the Excitation Table. $(4$ pts$)$ Provide the excitation equations and the Boolean output equation $($simplify your circuit: K$-$maps or Quine$-$McCluskey$)(5$ pts$)$ Sketch the circuit. $(3$ pts$)$ Which type is this FSM$?($Mealy$)($Moore$)$ Why? $1$ PROBLEM $3(35$ PTS$)$