Explain the operation of a NAND gate.

Here's how a NAND gate operates:

Inputs: The NAND gate takes two binary inputs, A and B. Each input can have a value of 0 or 1, representing logic low and logic high, respectively.

AND Operation: The NAND gate performs a logical AND operation on its inputs (A and B). This means that it checks if both inputs are HIGH (1). If both inputs are HIGH, the output of the AND operation will be HIGH (1); otherwise, the output will be LOW (0).

NOT Operation: After performing the AND operation, the NAND gate then performs a logical NOT operation on the result of the AND operation. This means that if the AND operation result is HIGH (1), the NOT operation will change it to LOW (0), and if the AND operation result is LOW (0), the NOT operation will change it to HIGH (1).

Output: The final result of these operations is the output of the NAND gate. It will be a binary value that's the opposite of the result of the AND operation. So, if the AND operation output was HIGH (1), the NAND gate's output will be LOW (0); if the AND operation output was LOW (0), the NAND gate's output will be HIGH (1).

In summary, a NAND gate produces a LOW (0) output only when both of its inputs are HIGH (1), and it produces a HIGH (1) output for all other combinations of inputs (i.e., when at least one input is LOW, the output is HIGH). This behavior makes NAND gates particularly important in digital logic design, as they can be used to create other types of logic gates and build more complex circuits.