What is the function of a NAND gate?

The function of a NAND gate is to perform a combination of AND and NOT functions. A NAND gate takes two or more input signals and produces an output that is the negation of the AND operation of those inputs. In simple terms, it outputs a low signal (0) only when all its inputs are high (1); otherwise, it outputs a high signal (1).

This characteristic makes the NAND gate a fundamental component in digital logic, as it can be used to create other types of gates through combinations, including AND, OR, and NOT gates. In Boolean algebra, the NAND operation can be expressed as:

[ \text{Output} = \neg (A \land B) ]

where ( \land ) represents the AND operation and ( \neg ) denotes NOT. Hence, the correct choice reflects the NAND gate's unique combination of performing the AND operation followed by negation.

The other options do not accurately describe the function of a NAND gate. For instance, a combination of AND and OR functions does not capture the negating aspect that is vital to the NAND function. A single condition check refers to more straightforward logic checks without considering combinations of inputs. Lastly, a form of series logic suggests arrangements that aren’t explicitly