______ is the digital 2-input logic gate whose output is HIGH only when both its inputs are the same.

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RRB ALP Mechanic Radio & TV 23 Jan 2019 Official Paper (Shift 3)
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  1. EX OR Gate
  2. EX NOR Gate
  3. AND gate
  4. NAND Gate

Answer (Detailed Solution Below)

Option 2 : EX NOR Gate
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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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