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