The correct answer is B. NAND.
A NAND gate is a logic gate that produces a high output only if all of its inputs are low. It is the inverse of an AND gate, which produces a high output only if all of its inputs are high.
An inverter is a logic gate that inverts its input. It produces a high output if its input is low, and a low output if its input is high.
If we add an inverter to the inputs of an AND gate, we get a NAND gate. This is because the inverter inverts the inputs of the AND gate, so the NAND gate will only produce a high output if all of its inputs are low.
The other options are incorrect because they do not represent the logic function obtained by adding an inverter to the inputs of an AND gate.
- Option A is incorrect because an OR gate produces a high output if any of its inputs are high.
- Option C is incorrect because an XOR gate produces a high output if its inputs are different.
- Option D is incorrect because a NOR gate produces a high output only if all of its inputs are low.
- Option E is incorrect because it is not a valid logic function.