What are the properties of logic gates?

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Solution

Logic gates :
A kind of the basic building block of a digital circuit having two inputs and one output is known as logic gates.
Types of logic gates:
There are several logic gates, such as:
OR Gate
AND Gate
NOT Gate
XOR Gate
Properties of logic gates:
Properties
Definition
Example
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 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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