Question

Which logic gate is represented by the following combination of logic gates?

• A. OR
• B. NAND
• C. AND
• D. NOR

Hint:

In logic circuits, a NAND gate is the combination of a NOT gate followed by an AND gate. It produces the inverse of the AND operation.

Answer 1

The Correct Option is B

To determine which logic gate is represented by the given combination of logic gates, let's analyze the operation of a NAND gate:

• The NAND gate is a combination of an AND gate followed by a NOT gate.
• Its output is true (1) unless both inputs are true (1).
• In terms of a truth table:

Input A	Input B	AND Output	NAND Output
0	0	0	1
0	1	0	1
1	0	0	1
1	1	1	0

• The truth table demonstrates that the NAND gate produces an output of false (0) only when both inputs are true (1), characteristic of its operation.
• This confirms the given logic gate is the NAND gate.

Answer 2

The given problem requires identifying the logic gate formed by a combination of other logic gates.

Understanding Logic Gates:

• OR Gate: The output is 1 if at least one input is 1.
• AND Gate: The output is 1 only if all inputs are 1.
• NAND Gate: This is the negation of an AND Gate. The output is 0 only if all inputs are 1. Otherwise, the output is 1.
• NOR Gate: This is the negation of an OR Gate. The output is 1 only if all inputs are 0.

The NAND gate is a universal gate and can be used to create any other gate. In this problem, we are likely given a combination that simplifies to a NAND gate.

Combination Analysis:

If we consider a typical representation, applying two inputs to a NAND gate results in an output of 1 if at least one input is 0, which is exactly the opposite of how an AND gate functions. Hence, it matches the behavior of a NAND gate directly.

Thus, based on the configuration, the given combination of logic gates represents a NAND gate.