The logic gate equivalent to the given circuit diagram is :
- OR
- NAND
- NOR
- AND
The Correct Option is B
Approach Solution - 1
The circuit diagram represents a NAND gate. Let’s analyze the behavior of the circuit:
- When both switches \( A \) and \( B \) are closed (ON state), the output is 0 (the bulb does not glow) because the current flows directly to the ground.
- In all other cases, the bulb glows, corresponding to an output of 1.
This behavior matches the truth table of a NAND gate:
\[ \begin{array}{|c|c|c|} \hline A & B & Y = \overline{A \cdot B} \\ \hline 0 & 0 & 1 \\ 0 & 1 & 1 \\ 1 & 0 & 1 \\ 1 & 1 & 0 \\ \hline \end{array} \]
Thus, the circuit corresponds to the logic of a NAND gate, with the output given by:
\[ Y = \overline{A \cdot B} \]
Approach Solution -2
The correct answer is (B) : NAND
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Concepts Used:
Logic Gates
AND Gate
It is the gate, where a circuit performs an AND operation. It has n number of input where (n >= 2) and one output.
OR Gate
It is the gate, where a circuit performs an OR operation. It has n number of input where (n >= 2) and one output.
NOT Gate
An inverter is also called NOT Gate. It has one input and one output where the input is A and the output is Y.
NAND Gate
A NAND operation is also called a NOT-AND operation. It has n number of input where (n >= 2) and one output.
NOR Gate
A NOR operation is also called a NOT-OR operation. It has n number of input where (n >= 2) and one output.
XOR Gate
XOR or Ex-OR gate is a specific type of gate that can be used in the half adder, full adder, and subtractor.
XNOR Gate
XNOR gate is a specific type of gate, which can be used in the half adder, full adder, and subtractor. The exclusive-NOR gate is flattened as an EX-NOR gate or sometimes as an X-NOR gate. It has n number of input (n >= 2) and one output.