Design a synchronous counter of Mod 5 with three inputs (q1, q2, q3) using a negative edge-triggered JK flip flop that goes through the following sequence (Figure 1). Show the design steps using the excitation table of JK flip-flop, circuit excitation table, K-map reduction, and circuit diagram. (30 Marks)
000
100
001
011
010
Figure 1
2.
a) Implement the Boolean function f(A, B, C) = 1, 2, 3, 7 using a 1:8 De-Multiplexer. (10 Marks)
b) The logic diagram shown in Figure 2 shows the 2 to 1 MUX. What will be the Boolean expression of Z in the given diagram? (10 Marks)
D
Z
D
Y
Figure 2