1.Create a truth table for an AND gate with three inputs (A, B, C).
2.How can a NAND gate’s truth table be derived using AND and NOT gates?
3.What is the truth table for a NOR gate with three inputs (A, B, C)?
4.Why does the NAND gate output 1 for most input combinations compared to AND?
5.What happens to an OR gate’s output if one input is always 1, regardless of the second input?
Ruwan Suraweera Changed status to publish 2 days ago
1.
Answer: Truth table:
- A=0, B=0, C=0 → 0
- A=0, B=0, C=1 → 0
- A=0, B=1, C=0 → 0
- A=0, B=1, C=1 → 0
- A=1, B=0, C=0 → 0
- A=1, B=0, C=1 → 0
- A=1, B=1, C=0 → 0
- A=1, B=1, C=1 → 1
Description: Extending to three inputs tests deeper understanding of AND logic, requiring all inputs to be 1 for a 1 output, preparing students for complex systems.
2.
Answer: NAND = NOT(AND). For A, B inputs: AND (A=1, B=1 → 1), then NOT (1 → 0). Full table matches NAND’s.
Description: This question links gate relationships, showing NAND as a composite operation, enhancing logical reasoning and gate interdependence skills.
Description: This question links gate relationships, showing NAND as a composite operation, enhancing logical reasoning and gate interdependence skills.
3.
Answer: Truth table:
- A=0, B=0, C=0 → 1
- A=0, B=0, C=1 → 0
- A=0, B=1, C=0 → 0
- A=0, B=1, C=1 → 0
- A=1, B=0, C=0 → 0
- A=1, B=0, C=1 → 0
- A=1, B=1, C=0 → 0
- A=1, B=1, C=1 → 0
Description: A three-input NOR outputs 1 only when all inputs are 0, challenging students to extend basic NOR logic to more variables.
4.
Answer: NAND inverts AND’s output. AND is 1 only when all inputs are 1, so NAND is 0 only then, giving 1 elsewhere.
Description: This analytical question deepens understanding of gate behavior by comparing NAND and AND, encouraging critical thinking about inversion.
Description: This analytical question deepens understanding of gate behavior by comparing NAND and AND, encouraging critical thinking about inversion.
5.
Answer: The output is always 1, as OR needs only one 1 (e.g., A=1, B=0 → 1; A=1, B=1 → 1).
Description: This explores edge cases in OR logic, teaching students to predict outcomes in fixed-input scenarios, a key skill in troubleshooting.
Description: This explores edge cases in OR logic, teaching students to predict outcomes in fixed-input scenarios, a key skill in troubleshooting.
Ruwan Suraweera Changed status to publish 2 days ago
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