In Boolean algebra, what is the output of a NAND operation if both inputs are true?

In Boolean algebra, the NAND operation is a fundamental logical operation that stands for "NOT AND." It produces an output that is the opposite of the AND operation. To understand its behavior, consider the standard truth table for the AND operation:

• If both inputs are true, the output of AND is true.

• If at least one input is false, the output of AND is false.

The NAND operation negates the output of the AND operation. Therefore, if both inputs to the NAND are true (true AND true), the output would normally be true. However, because NAND negates this result, the output becomes false.

This means that when both inputs are true, the NAND operation results in a false output. Hence, the correct answer reflects that outcome accurately.

The other potential options do not fit the logical framework of Boolean operations. Neutral and Variable do not describe the fixed nature of logical outputs, and true does not apply in this case due to the negation introduced by NAND.