Logic Gates

Question

A two-input logic gate gives an output of logic 1 only when both of its inputs are simultaneously at logic 1, and a student names this gate.

RankGuru · Accepted Answer

NCERT introduces logic gates as the basic building blocks of digital electronics, each defined by a truth table relating outputs to inputs. The AND gate produces an output of logic 1 only when every input is at logic 1; if any input is 0, the output is 0. This matches the description exactly, since the gate outputs 1 solely when both inputs are simultaneously 1, expressed as $Y = A \cdot B$. The OR gate is wrong because it outputs 1 when at least one input is 1, not only when both are, so it would give 1 for a single high input. The NOR gate is wrong because it is the inverse of OR and outputs 1 only when both inputs are 0, the opposite pattern. The NAND gate is wrong because it outputs 0 only when both inputs are 1 and 1 otherwise, again the complement of the required behaviour. As stated in NCERT Class 12, Chapter 14, the AND gate implements logical multiplication of its inputs. A consistency check confirms that testing the two inputs both at 1 gives output 1 while any other combination gives 0, uniquely identifying the AND gate.

Logic Gates

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