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Digital Circuits, Digital Logic Design, Switching Theory and Logic Design , Digital Electronics, logic Gates

What you will learn

Be able to learn the Basic concepts of Digital circuits.

Be able to learn the basic concept of binary number system, number system conversion Binary codes.

Be able to learn the basic concept of Boolean Algebra and Theorems.

Be able to learn the basic concept of logic gates and design of circuits.

Be able to learn the basic concept of K- Map and simplification methods.

Description

This Course deals with the basic number system ( types of number system, conversions, BCD code, Gray code, Excess-3 code and binary data representation) .

This Course Explains Boolean operations, Sum Of Product and Product Of Sum, Boolean theorems and Logic Gates(NAND,NOR).

This course deals with Boolean expression simplification methods ( K-MAP and tabulation method )

you will learn:


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1. Number Systems, Conversions, Gray code, BCD code,Excess-3 code, Binary Data Representation, different Binary codes.

2. Boolean Algebra : Boolean Theorems, SOP & POS, Venn diagrams, Duality Theorem, De-Morgan’s Theorem, residue theorem, absorption theorem.ย  ( The concept of Boolean algebra was first introduced by George Boole in his book, The Mathematical Analysis of Logic, and further expanded upon in his book, An Investigation of the Laws of Thought. Since its concept has been detailed, Boolean algebra’s primary use has been in computer programming languages. Its mathematical purposes are used in set theory and statistics.)

3. Logic Gates : AND,OR, NOT, NAND, NOR, EX-OR, EX-NOR Gates, Design of digital circuits using NANDย gates and NORย Gates, Implementation of all the gates using NANDย & NOR gates. ( Logic gates are the basic building blocks of any digital system. It is an electronic circuit having one or more than one input and only one output. The relationship between the input and the output is based on a certain logic ).

4. K-Map( 2 – variable, 3 – variable, 4 – variable ). A Karnaugh map (K-map) is a pictorial method used to minimize Boolean expressions without having to use Boolean algebra theorems and equation manipulations. A K-map can be thought of as a special version of a truth table .

English
language

Content

Number System

Number System introduction
Number System Conversion ( Decimal to Others )
Number System Conversion ( Others to Decimal )
Number System Conversion ( Others to Others )
Weighted Number System
Binary Number System
Binary to Octal conversion
Number System Types
Number System Conversion Problems
Binary Arithmetical operations ( addition )
Binary Arithmetical operations ( SUB )
BCD (Binary Coded Decimal ) Code
BCD Conversion
Excess – 3 Code Conversion
Binary to Gray conversion
Compliments of number system
Problems on Binary number system
Binary Data Representation
Unsigned and Signed Binary Data Representation
Problems on Binary Data Representation
Floating Point Binary Data Representation
Assignment – 1
Assignment – 1_Solutions

Boolean Algebra

Introduction
Boolean Algebra
Boolean Algebra( Canonical Form)
Boolean Algebra( Canonical Form) – 01
Boolean Algebra( Consensus OR Redundancy Theorem)
Boolean Algebra( Duality Theorem)
Boolean Theorems (All)

Boolean Theorems – 02

SOP AND POS ( Boolean expression representation)
SOP AND POS – 2 ( Boolean expression representation)
Logic Gates( special)
Logic Gates( basic gates)
Logic Gates ( universal gates)

Logic Gates

Logic Gates
Logic Gates- 01
Logic Gates -( Bubbled Gates)
NOR – NOR logic
Logic Gates using NAND and NOR Gates
Digital Circuits Using NAND Gates
Digital circuit using NAND Gates – 01
Basic Gates using Diodes

K – MAP

K- MAP Inroduction
K-Map
3 – variable K-Map problems
3 – variable K-Map with don’t care combinations