Design and draw the state-graph of an FSM that detects the input sequence '11011' including overlaps. The sequence appears at the input from left to...

Design and draw the state-graph of an FSM that detects the input sequence '11011' including overlaps. The sequence appears at the input from left to right. Suggest two different designs and compare them by listing the advantage and disadvantage of each. For both designs provide a state diagram, state-table, K-Maps, equations, and the circuit.