Referring to the circuit in Figure 2 and the corresponding function table in Table 5 on page 5, answer the following questions: (a) Draw the state diagram of the circuit. (b) (c) (d) (5 Marks) Work out the logic circuit for the Output Block using only NAND gates and inverters. (5 Marks) Give a brief description on the functional characteristics of the circuit in Figure 2. (2 Marks) Redesign the circuit using only one flip-flop and some logic gates. You need to show only the Boolean equation of the decoding logic. (i) One D flip-flop plus logic gates. (ii) One T flip-flop plus logic gates. QD F QT X CLK Figure 2 Output Block (8 Marks) (e) Write the excitation table of the redesigned circuit in part (d). (5 Marks) Table 5 F(lip) X Pt Pt+1 0 0 0 0 0 0 1 0 0 1 0 1 0 1 1 1 1 0 0 0 1 0 1 1 1 1 0 1 1 1 1 0