the output of a 2-input AND gate is fed to a NOT gate. give name of the combination and its logic symbol. write down its truth table.

When you connect the output of a 2-input AND gate to a NOT gate, you create a logic circuit known as a NAND gate. The NAND gate is a fundamental building block in digital electronics, combining the functions of both AND and NOT gates. Let's break this down further.

Understanding the NAND Gate

The NAND gate performs the operation of an AND gate followed by a NOT gate. This means that the output is true (or 1) unless both inputs are true (or 1). The logic symbol for a NAND gate looks like an AND gate symbol with a small circle (representing NOT) at the output. Here’s how it can be represented:

• Logic Symbol: 

Truth Table for a NAND Gate

The truth table for a NAND gate is quite straightforward. It lists all possible combinations of the inputs and their corresponding output:

Breaking Down the Truth Table

Let’s analyze the truth table step by step:

• When both inputs A and B are 0, the output is 1. This means that if neither condition is met, the NAND gate outputs a true signal.
• If one of the inputs is 1 (either A or B), the output remains 1. This indicates that the NAND gate is permissive as long as not both inputs are true.
• Only when both inputs A and B are 1 does the output drop to 0. This is the only scenario where the NAND gate does not allow a true output.

In summary, the NAND gate is a versatile and widely used logic gate in digital circuits, serving as a fundamental component in various applications, including memory storage and arithmetic operations. Its ability to produce a true output in most cases makes it particularly valuable in designing complex logic systems.