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Question

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:

  1. OR Gate
  2. AND Gate
  3. NOT Gate
  4. 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=0A+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=AA+0=A

Commutative law

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

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


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