Describe the operation of a NAND gate with a truth table.

A NAND gate is a fundamental digital logic gate that performs the logical AND operation on its inputs and then negates the result, producing an output of true (1) only if both of its inputs are false (0). Here’s how a NAND gate operates along with its truth table:

Operation:

The NAND gate has two inputs, typically labeled as A and B.
If both inputs A and B are true (1), the output of the NAND gate is false (0).
If either input A or input B (or both) is false (0), the output of the NAND gate is true (1).
Mathematically, the output of a NAND gate (denoted as Y) can be expressed as:

In words, the output Y is the negation of the AND operation of inputs A and B.

Truth Table:

A B Y (Output)
0 0 1
0 1 1
1 0 1
1 1 0
In the truth table:

When both A and B are 0, the output (Y) is 1.
When either A or B (or both) is 1, the output (Y) is 1.
Only when both A and B are 1, the output (Y) is 0.
This truth table illustrates the behavior of a NAND gate, showing all possible combinations of inputs (A and B) and the corresponding output (Y).