What are the properties of Logic Gates?

Following are the properties of logic gates:

  • Annulment law: When a variable is used with AND gate gives 0 whereas when a variable is used with OR gate gives 1.

A.0 = 0

A + 1 = 1

  • Identity law: When a variable is used with AND gate or with OR gate, the value of the variable remains constant.

A.1 = A

A + 0 = A

  • Commutative law: The order of the variable does not matter when commutative law is applied.

A + B = B + A

A.B = B.A

  • Distributive law: This law is used for opening up of the brackets.

A.(B + C) = (A.B) + (A.C)

A + (B.C) = (A + B).(A + C)

  • Associative law: The order of the operation is not the as the priority is given to either multiplication or division of the variables.

A + (B + C) = (A + B) + C

A.(B.C) = (A.B).C

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