āx3 is associated with which logic gate?

āx3 is associated with which logic gate?

• A. Inverter
• B. Buffer
• C. NOR gate
• D. AND gate

Answer: (D)

The expression āx3 represents a product of literals, where a bar over a variable means NOT. So āx3 is NOT a AND x3. That means the output is 1 only when a is 0 and x3 is 1. That behavior matches an AND gate with two inputs: the first input is the negation of a, the second input is x3. An inverter handles only a single input, a buffer just passes a signal through, and a NOR gate is OR followed by NOT—producing a different truth table. So the operation described by āx3 corresponds to an AND gate.

The expression āx3 represents a product of literals, where a bar over a variable means NOT. So āx3 is NOT a AND x3. That means the output is 1 only when a is 0 and x3 is 1. That behavior matches an AND gate with two inputs: the first input is the negation of a, the second input is x3. An inverter handles only a single input, a buffer just passes a signal through, and a NOR gate is OR followed by NOT—producing a different truth table. So the operation described by āx3 corresponds to an AND gate.