Problem 1: Working with Digital Circuits (10 Marks)

Suppose that you want to design a new flip-flop and name it as AM flip-flop. This AM flip-flop behaves as follows: If A = 1, the flip-flop complements the current state. If A = 0, the next state of the flip-flop is equal to the value of M.
a. Derive the characteristic table for the AM flip-flop.
b. From the characteristic tables of both flip-flops, the JK and the AM (that you have derived in part a), find the equivalent values of J & K for each of the AM states.
For example, if for A= 0, M=0, Q(t+1) was, say, x; then you should find the equivalent combination of J & K that produces the same output.
c. Based on the result that you have obtained in part b, show how a JK flip-flop can be converted to an AM flip-flop by adding gate(s) and inverter(s).

Problem 2: Working with Digital Circuits (10 Marks)

Consider the function: F(x,y,z) = xy+z’ .
a. Draw the logical diagram of F.
b. Using only NAND gates, represent F.
c. Draw the minimized logical representation of the function F found in part b.