Design a circuit for a car alarm that activates (output = 1) if the door is open (D = 1) and the key is not in the ignition (K = 0).
Derive the logical expression for a full adder’s carry output and draw its circuit.
Explain the role of a feedback loop in a flip-flop and its significance in memory storage.
Design a circuit to detect if exactly two of three inputs (A, B, C) are high.
Simplify the expression F = A’BC + AB’C + ABC using Boolean algebra and verify with a K-map.
Answers and Descriptions for Group 2
Answer: Truth table: D AND K’. Circuit: AND gate with D and NOT K as inputs.
Description: This real-life application requires translating a scenario into a logic expression (D AND K’), reinforcing practical circuit design.
[Image Placeholder: Car alarm circuit diagram]Answer: Carry = AB + BCin + ACin. Circuit: Two AND gates (AB, (A XOR B) AND Cin), OR gate for final carry.
Description: The full adder’s carry output is derived from its truth table. This exercise connects CPU components to circuit design, enhancing understanding.
[Image Placeholder: Full adder carry circuit]Answer: A feedback loop in a flip-flop feeds the output back to the input, maintaining state until changed, enabling bit storage in memory.
Description: This explains sequential logic, contrasting with combinational circuits, and highlights flip-flops’ role in registers and RAM.Answer: F = A’BC + AB’C + ABC’. Circuit: Three AND gates for each term, OR gate for output.
Description: This requires analyzing a condition (exactly two 1s), creating a truth table, and designing a circuit, advancing combinational logic skills.
[Image Placeholder: Two-of-three detector circuit]Answer: F = BC + AC. K-map confirms simplification.
Description: Boolean algebra (factoring) and K-map both yield BC + AC, reinforcing dual approaches to simplification and verification.
[Image Placeholder: K-map for F]