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Identify the Boolean Gate which represents the following truth table: A B Output 0 0
Question

Identify the Boolean Gate which represents the following truth table:
A
B
Output
0
0
1
0
1
1
1
0
1
1
1
0

A.

XOR

B.

NOR

C.

NAND

D.

OR

Correct option is C


The given truth table represents the NAND (NOT AND) gate. Let's analyze the truth table:

A
B
Output
0
0
1
0
1
1
1
0
1
1
1
0
The output is 1 for all inputs except when both A and B are 1. This is the behavior of the NAND gate, which is the negation of the AND gate. The AND gate produces 1 only when both inputs are 1, but the NAND gate inverts that result, making it 0 only when both inputs are 1.
Important Key Points:
1. NAND Gate: The output is 1 for all combinations of inputs except when both are 1. The NAND gate performs the negation of the AND operation.
2. Truth Table for NAND:
· When A = 0 and B = 0: Output = 1
· When A = 0 and B = 1: Output = 1
· When A = 1 and B = 0: Output = 1
· When A = 1 and B = 1: Output = 0
Knowledge Booster:
· Option (a): XOR: The XOR (Exclusive OR) gate gives output 1 when exactly one of the inputs is 1, but this truth table does not match the XOR behavior.
· Option (b): NOR: The NOR gate gives output 1 only when both inputs are 0. This truth table does not match that behavior.
· Option (d): OR: The OR gate gives output 1 when at least one input is 1. This truth table differs from the behavior of the OR gate.

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