Difficulty: Easy
Correct Answer: Inverter (NOT)
Explanation:
Introduction / Context:
Composite logic functions can be described by combining simpler gates. Recognizing these equivalences helps with circuit minimization and technology mapping. NOR, a universal gate, is defined as the logical negation of OR.
Given Data / Assumptions:
Concept / Approach:
By definition, NOR(X, Y) = NOT(OR(X, Y)). Therefore, implement OR first, then invert its output using a single NOT (inverter). This identity is used widely when decomposing complex gates into primitive cells or CMOS pull-up/pull-down networks.
Step-by-Step Solution:
Verification / Alternative check:
Truth table comparison confirms that for inputs (0,0) → OR=0 → NOT=1; for any case with a 1 input → OR=1 → NOT=0, matching NOR behavior exactly.
Why Other Options Are Wrong:
Common Pitfalls:
Confusing NOR with NAND (which equals AND followed by NOT). Keep the pairings straight: NOR = OR then NOT; NAND = AND then NOT.
Final Answer:
Inverter (NOT)
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