Question Details

Which logic gate is given in the figure?



Options

A

XOR

B

NOR


C

NAND


D

OR


Show Answer

Correct Answer :

Option C

NAND


NAND

Solution :

To identify the logic gate represented by the given circuit diagram, we can analyze the output step-by-step from the inputs to the output:

1. Input NOT Gates:
Both inputs A and B are first passed through individual NOT gates.
The outputs of these NOT gates are:
- For input A: A¯
- For input B: B¯

2. NOR Gate:
The signals A¯ and B¯ are then fed into a NOR gate. The output of a NOR gate is the negation of the sum (OR) of its inputs:
NOR Output=A¯+B¯¯

3. Applying De Morgan's Law:
According to De Morgan's Law, the complement of the sum of two variables is equal to the product of their complements:
X+Y¯=X¯·Y¯
Substituting X=A¯ and Y=B¯ into this law:
A¯+B¯¯=A¯¯·B¯¯=A·B

4. Final NOT Gate:
The output of the NOR gate, which is A·B (equivalent to an AND gate configuration), is finally passed through a NOT gate to produce output C:
C=A·B¯

The expression A·B¯ represents a NAND gate.

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