Question [1]: [10 marks] For the circuit shown below, determine the output function Z as minimum sums of products. (Also give the functions at points X and Y) 3-to 8 decoder ob- 1 A 0 2b 4 to-1 MUX Lo 3 b B 1 11 z 4 b 12 C 5b 2 C 6b 7 b AB Question [5]: [20 mark] Design a 3-bit synchronous counter which counts according to the following sequence 001 110 010 101 000 111 and repeats. Design the counter using Two D-FF and One JK-FF such that the JK is the middle flip flop. What is the next count if the counter started with 011 (unused state)