T Latch [4 marks] Consider the following three ways for obtaining a T latch. In each case, draw the logic diagram and verify the circuit operation. 1. Use NOR gates for the SR latch part and AND gates for the other two. An inverter may be needed. 2. Use NAND gates only (without an inverter). [2] [2] Hint: Verify circuit operation using algebraic expressions for both Q1 and Q2 JK Flip-flops [6 marks] 3. Discuss the problem in SR flip-flop using a truth table. Indicate the problem in truth table as well. Hint: Mention the states in the truth table [2] 4. How JK flip-flop solves this problem? Support your answer with a circuit diagram and truth table. Indicate in the truth table where the problem is solved. [3] Hint: Truth table must have two inputs, two previous states, two current states. Indicate respective SET, RESET and other two conditions in truth table. 5. Show that the characteristic equation for the complement output of a JK flip-flop is: Q'(t+1) = J'Q' + KQ Hint: Provide the truth table with J, K, Q. Q+ only. E [1]