Final answer:
To draw the logic diagram for the sequential circuit, use the given next-state and output equations. List the state table by determining possible combinations of states for A and B. Draw the corresponding state diagram by representing each state as a circle and using arrows to show transitions based on inputs.
Step-by-step explanation:
a) To draw the logic diagram for the sequential circuit, we can use the given next-state and output equations. The circuit will have two D flip-flops A and B, two inputs x and y, and one output z. According to the next-state equations, A(T+1) = x'y + xB and B(T+1) = x'A + xB. Based on these equations, we can draw the logic diagram showing the connections between the inputs, flip-flops, and output.
b) To list the state table for the sequential circuit, we need to determine the possible combinations of states for A and B. Since each flip-flop has two possible states (0 and 1), the total number of combinations is 2^2 = 4. We can then assign a binary value to each combination (00, 01, 10, 11) and list the corresponding inputs (x and y) and outputs (z) for each state.
c) To draw the corresponding state diagram, we can represent each state as a circle and use arrows to show the transitions between states based on the inputs. Each state is labeled with a binary value (00, 01, 10, 11) and each arrow represents a possible transition. The state diagram shows the flow of states based on the inputs and outputs of the sequential circuit.