Final answer:
The statement about an AND gate being the same as an OR gate with its inputs complemented is true, in accordance with De Morgan's theorem.
Step-by-step explanation:
The statement that an AND gate is the same as an OR gate with its inputs complemented is true. This is known as De Morgan's theorem. In logical terms, this means if you invert the inputs of an AND gate, you effectively get the operation of an OR gate with complemented outputs (known as a NOR gate) and vice versa. For example, if A and B are two inputs, then the output of an AND gate is true only if both A and B are true. However, if you invert the inputs (A' and B' where ' represents complementation), an OR gate will give a true output only if both A' and B' are false, which corresponds to the case where both A and B would have been true in the AND gate.