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As Per Boolean Algebra, Inputs Can Be Interchanged In

By BYJU'S Exam Prep

Updated on: September 25th, 2023

Choose the right answer to the question. As per Boolean algebra, inputs can be interchanged from the following options and a detailed explanation.

  1. OR gates
  2. AND gates
  3. both OR and AND gates
  4. none of the above

 Answer – C.  both OR and AND gates

The answer to the question, As per Boolean algebra, inputs can be interchanged in both OR and AND gates. 

Solution

The detailed solution to the question As per Boolean algebra, inputs can be interchanged is provided here. 

  • The property of interchanging inputs is called the Commutative property.

For AND gate-

A B

A.B.

B.A.

0,0

0

0

0,1

0

0

1,0

0

0

1,1

1

1

For OR gate-

A B

A+B

B+A

0,0

0

0

0,1

1

1

1,0

1

1

1,1

1

1

  • So, ‘AND’ and ‘OR’ both gates follow the commutative property.
  • All digital logic gates follow the Commutative property except NAND and NOR gates.

Therefore, the answer to the question As per Boolean algebra, inputs can be interchanged in both OR and AND gates.

Hence, Option (C) is correct.

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