(Solved): 1 (10 pts). Design a 3-bit counter using D F/Fs which counts in the sequence 001, 011, 010, 110, 1 ...

1 (10 pts). Design a 3-bit counter using D F/Fs which counts in the sequence 001, 011, 010, 110, 111, 101, 100 , (repeat) 001, 2 (10 pts). Design a JK F/F using a D F/F and minimum number of external gates. 3 (10 pts). Construct the state table for the following logic circuit. 4 (15 pts). A sequential circuit has two inputs \( \mathrm{X} 1 \) and \( \times 2 \) which represent a 2 -bit binary number and one output \( \mathrm{Z} \). The output \( \mathrm{Z}=1 \) iff the last 4 input sequence is \( 00,11,10,00 \). Derive a Moore state diagram. \( 5(30 \) pts). (a) Reduce the following state table to a minimum number of states. (b) Use guidelines to determine a suitable state assignment for the reduced table.