Boolean Algebra in Digital Systems

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Description of Boolean Algebra in Digital Systems

What you'll learn
What is Boolean Algebra & who discovered it
Need of Boolean Algebra in Digital Electronics
Rules In Boole solve a given Boolean Algebraic expression (3 examples)
3 Test Questions
Requirements
You will learn everything you need to know . No Prior knowledge is required.
Descriptionlaws such as identity , idempotent , null , inverse , commutative , associative , distributive , principle of duality , the law of complement and also demorgan's theorems . All these you will study in depth in this course.
Boolean algebra, deals with zero, one and set of logic gates that operates upon binary numbers. With the knowledge of boolean algebra we can design an interconnection of logic gates which can give desired outputs for given inputs. This is the way adder, multipliers etc are made. Once we develop design we can implement it using transistors and embed it inside.
Who this course is for

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About this course
Boolean algebra is that branch of algebra in which the values of the variables are either true or false, usually denoted by zero and one respectively. Instead of elementary algebra, where the values of the variables are numbers and the prime operations are addition and multiplication, the main operations of boolean algebra are the conjunction (and) , the disjunction (or) , and the negation (not). It is thus a formalism for describing logical operations, in the same way that elementary algebra describes numerical operations. Boolean algebra was introduced by George Boole in his first book The Mathematical Analysis of Logic. In boolean algebra there exist various postulates an Algebra
Boolean Postulates
Associative Law along with its Proof
Distributive Law along with its Proof
Distributive Law along with its Proof
Principle of Duality along with solved questions
Complement Law along with explanation
ANDing Laws
ORing Laws
How to reduce