The logic equation of an EX-NOR gate having A and B as its input is:

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  1. A’B + AB’
  2. A’B’ + A’B
  3. A’B’ + AB
  4. A’B’ + AB’

Answer (Detailed Solution Below)

Option 3 : A’B’ + AB
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Detailed Solution

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EX-NOR Gate:

Symbol:

F1 S.B Madhu 02.06.20 D 7

Truth Table:

Input A

Input B

Output

Y = A ⨀ B

0

0

1

0

1

0

1

0

0

1

1

1

 

From the truth table, the output is one when both A and B are equal logic.

The Boolean equation of output can be written as:

Output = A B + A̅ B̅  

Output Equation: Y = A ⨀ B

Key Points: 

1) If B is always Low, the output is the inverted value of the other input A, i.e. A̅.

2) The output is low when both the inputs are different.

3) The output is high when both the inputs are the same.

4) XNOR gate produces an output only when the two inputs are the same.

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