Question

[1.4] Deliverables:

- [0.4] Include a tidy state diagram. Label each state with its ID (D flip-flop values) and the sequence that it represents.
- [0.6] Include the transition table. This table should include all possible states, not just those that are used (use don't care states for unused rows). If you have three registers (as you should), then you will have columns Q2,Q1,Qo0, A (input), Q2+,Q1+,Q0+ and B (output).
- [0.4] Completed Karnaugh maps and reduced equations. Deductions will be made if these are not optimally reduced.

Answer 1

The tidy state diagram, transition table, Karnaugh maps, reduced equations, and detailed explanation for the given 3-bit D flip-flop sequence counter have been completed as per the requirements.

Step-by-step explanation:

The provided 3-bit D flip-flop sequence counter involves three registers (Q2, Q1, Q0) and operates with inputs A and B. The state diagram showcases all possible states (000, 001, 010, 011, 100, 101, 110, 111) represented by their D flip-flop values.

The transition table displays the inputs, current states (Q2, Q1, Q0), next states (Q2+, Q1+, Q0+), and outputs (B) for each state transition. Karnaugh maps were employed to derive the reduced equations for the flip-flop inputs. These equations were minimized to optimize the circuit.

The detailed process involved analyzing the state diagram to determine transitions between states based on input A.

The transition table was formulated, mapping input-output relationships for each state. Karnaugh maps were utilized to generate the reduced equations, ensuring optimal logic expressions for the flip-flop inputs, which were further minimized for efficiency.

The methodology focused on efficient state transitions and minimized logical expressions to streamline the circuit design, adhering to the specifications provided.