In a two-input AND gate, when is the output true?

In a two-input AND gate, when is the output true?

• A. True if at least one input is true
• B. True if both inputs are true
• C. True if exactly one input is true
• D. Inverted output of a single input

Answer: (B)

For a two-input AND gate, the output is true only when both inputs are true. An AND gate performs a logical conjunction, so every input must be high for the result to be high. If both inputs are high, the output is high; if either input is low (or both are low), the output is low. This distinguishes it from options that describe OR behavior (true when at least one input is true) or XOR behavior (true when exactly one input is true). The idea of an inverted output of a single input describes a NOT operation on one input, which still doesn’t reflect the requirement that both inputs must be true for the output to be true.

For a two-input AND gate, the output is true only when both inputs are true. An AND gate performs a logical conjunction, so every input must be high for the result to be high. If both inputs are high, the output is high; if either input is low (or both are low), the output is low. This distinguishes it from options that describe OR behavior (true when at least one input is true) or XOR behavior (true when exactly one input is true). The idea of an inverted output of a single input describes a NOT operation on one input, which still doesn’t reflect the requirement that both inputs must be true for the output to be true.