What is the output of a AND gate when one input is false?

An AND gate in digital electronics is a fundamental logic gate that produces an output based on the logical conjunction of its inputs. It is designed to output a true value only when all of its inputs are true (or high).

When one of the inputs to an AND gate is false (or low), regardless of the state of the other input, the output will always be false. This is due to the defining characteristic of the AND operation, which requires all inputs to be true for the output to be true. Therefore, with at least one input being false, the output must logically be false as well.

This behavior is consistent with Boolean algebra, where the AND operation can be represented as A AND B = A · B. If either A or B is 0 (false), then the product (output) is also 0 (false). Thus, the reasoning leading to the conclusion that the output is false when one input is false aligns perfectly with the principles of digital logic design.