Which of the following gates is equivalent to an AND gate followed by a NOT gate?

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Q: Which of the following gates is equivalent to an AND gate followed by a NOT gate?

Solution: The output of an AND gate followed by a NOT gate is a NAND gate.

Steps: 6

Step 1: Understand what an AND gate does. An AND gate outputs true (1) only if both of its inputs are true (1).
Step 2: Understand what a NOT gate does. A NOT gate inverts the input; it outputs true (1) if the input is false (0), and vice versa.
Step 3: Combine the functions of the AND gate and the NOT gate. First, the AND gate takes two inputs and gives an output. Then, the NOT gate takes that output and inverts it.
Step 4: Analyze the output of the AND gate. If both inputs are true (1), the AND gate outputs true (1). The NOT gate then inverts this to false (0).
Step 5: Analyze the output of the AND gate when at least one input is false (0). The AND gate outputs false (0), and the NOT gate inverts this to true (1).
Step 6: Conclude that the combined output of an AND gate followed by a NOT gate is true (1) when the AND gate outputs false (0) and false (0) when the AND gate outputs true (1). This behavior is exactly what a NAND gate does.