Which logic gate inverts the output of an AND gate?

The NAND gate is designed specifically to invert the output of an AND gate. With an AND gate, the output is high (or true) only when both of its inputs are high. In contrast, the NAND gate gives a high output for all input combinations except when both inputs are high. This means that when both inputs to the NAND gate are true, the output becomes false, effectively inverting the AND gate's output.

This characteristic of the NAND gate makes it a fundamental building block in digital circuits, as it can be used to perform any logical function through combinations of such gates. The logic relation can be understood with the truth tables for both gates:

• For an AND gate:

• Inputs: 0, 0 → Output: 0

• Inputs: 0, 1 → Output: 0

• Inputs: 1, 0 → Output: 0

• Inputs: 1, 1 → Output: 1

• For a NAND gate:

• Inputs: 0, 0 → Output: 1

• Inputs: 0, 1 → Output: 1

• Inputs: 1, 0 → Output: 1