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Examples on SOP and POS

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Examples on SOP and POS

Digital Logic Design Examples on SOP and POS

Examples on SOP and POS

In this class we will solve Examples on SOP and POS.

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Number System

Introduction to Decimal Number System

Understanding how to do 9’s and 10’s complement of a decimal number

Subtraction of Decimal Numbers using 9’s and 10’s Complement

Logic Behind 9’s and 10’s Complement Subtraction

Solving Examples on 9’s and 10’s Complement Subtraction

Introduction to Binary Number System

How to convert a Binary number to Decimal Number

How to Convert a Decimal Number to Binary Number

Solving More Examples on Binary to Decimal and Decimal to Binary Number Conversion

How to do Binary Addition The Easy Way

How to do Binary Subtraction The Easy Way

How to Multiply Two Binary Numbers The Easy Way

How to Divide Two Binary Numbers

How to find 1’s and 2’s Complement with Shortcut

Methods for Representation of Negative Numbers in Binary Understanding

Range of Negative Numbers in Different Representations

Binary Numbers Subtraction Using Complement Method

Octal Number System Detailed Explanation

Hexadecimal Number System Detailed Explanation

Different Types of Number System Conversions

Conversion from any Base Number to Base 10

Converting Numbers from Base 10 to Other Bases

Conversion of Numbers from One Base to Other

Converting a Power of 2 Base to Another Power of 2 Base Number

Minimum Number of Bits Required for Conversion The Easy Way

GATE Bits 01, 02 Number System

GATE Bits 03 04 Number System

GATE Bits 05 06 Number System

GATE Bits 07 08 Number System

GATE Bits 09 10 Number System

GATE Bits 11 12 Number System

GATE Bits 13 14 Number System

GATE Bits 15 16 Number System

GATE Bits 17, 18 Number System

Binary Codes and it’s Classification

Classification of Numeric Codes

Properties of Numeric Codes Sequential, Self Complementing and Cyclic Codes

Gray Code Explained With Example

Binary to Gray and Gray to Binary Conversion

Boolean Algebra

Introduction to Logic Gates

Basic Logic Gates AND, OR, NOT Gates

Understanding NAND and NOR Gates and Why They are called Universal Gates

Producing AND OR NOT Gates Using NAND Gates

Producing AND OR NOT Gates Using NOR Gates

Properties of EX OR and EX NOR Gates

Introduction to Boolean Algebra Explained

AND OR Commutative Associative and Distributive laws

Double Negation Identity Idempotance Absorption Consensus Transposition Laws

De Morgan’s Law and Demorganization in Boolean Algebra

Examples on De Morgans Law

Canonical Sum of Products

Canonical Product of Sums

Examples on SOP and POS

Number of Switching Functions Possible 1

Number of Switching Functions Possible 2

Principle of Duality in Boolean Algebra

Self Dual Functions in Boolean Algebra

Boolean Expression and Symbols for EX OR and EX NOR explained

Functional Completeness in Boolean Algebra

Examples on Functional Completeness

GATE Bits 19 20 Logic Gates and Boolean Algebra

GATE Bits 21 22 Logic Gates and Boolean Algebra

GATE Bits 23 24 Logic Gates and Boolean Algebra

GATE Bits 25 26 Logic Gates and Boolean Algebra

GATE Bits 27 28 Logic Gates and Boolean Algebra

GATE Bits 29 30 Logic Gates and Boolean Algebra

GATE Bits 31 32 Logic Gates and Boolean Algebra

Minimization

Introduction to Minimization

Minimization by Boolean Laws and Rules

Problems in Minimization by Boolean Laws and Rules

Minimization by using K Map in Digital Logic -1

Minimization by using K Map in Digital Logic -2

Examples on Minimization using 2 Variable K Map

Examples on Minimization using 4 Variable K Map 1

Examples on Minimization using 4 Variable K Map 2

Implicant, Prime Implicant, Essential Prime Implicant, Redundant Prime Implicant

Prime Implicant Essential Prime Implicant Redundant Prime Implicant

Need of Prime Implicant Chart for Minimization

Examples of Minimization by Using Prime Implicant Chart 1

Examples of Minimization using Prime Implicant Chart 2

Examples of Minimization using Prime Implicant Chart 3

Don’t Care Conditions in K Map with Example

Examples on Don’t Care Conditions

Examples on Minimization of POS Expression using K Map

Understanding Variable Entrant Map

Minimization by using Variable Entrant Map 1

Minimization by using Variable Entrant Map 2

Branching Technique to Minimize Cyclic Functions

Examples on Minimization

GATE Bits 33 34 Minimization

GATE Bits 35 36 Minimization

GATE Bits 37 38 Minimization

GATE Bits 41 42 Minimization

Combinational Circuits

Introduction to Combinational Circuits

Understanding Half Adder Circuit Diagram and Truth table

Full Adder Design and Truth Table

Full Adder by Using two Half Adders and a OR Gate

Ripple Carry Adder or Parallel Adder

Carry Propagation Delay in Ripple Carry Adder

Understanding Carry Look Ahead Adder

Four Bit Parallel Adder cum Subtractor

Introduction to Magnitude Comparator

1 Bit Magnitude Comparator Combinational Circuit

2 Bit Magnitude Comparator Combinational Circuit

4 Bit Magnitude Comparator Combinational Circuit

Introduction to Multiplexer Definition and Applications

Design of 2X1 4X1 8X1 Multiplexer

Design of 16×1 Multiplexer by Using 2×1 Multiplexer

Number of Levels and Number of Multiplexers Required

Logic Behind the Implementation of 32×1 Multiplexer by Using 4×1 Multiplexer

Functional Completeness of Multiplexers

Implementing Boolean Functions by Using Multiplexer 1

Implementing Boolean Functions by Using Multiplexer 2

Examples Solved on Cascading Multiplexers

Introduction to De Multiplexer

Applications of Multiplexer and Demultiplexer

Implementation of 2×4 Decoder by Using 1×2 Decoder

Number of Levels and Number of Decoders Required

Implementation of Boolean Functions by Using Decoder 1

Implementation of Boolean Functions by Using Decoder 2

Implementation of ROM Using Decoder

Introduction to Encoder

GATE Bits 43 44 Combinational Circuits

GATE Bits 45 46 Combinational Circuits

GATE Bits 47, 48 Combinational Circuits

GATE Bits 49 50 Combinational Circuits

GATE Bits 51 52 Combinational Circuits

Sequential Circuis

Introduction to Sequential Circuits

Understanding SR Latch in Sequential Circuits

Clocked SR Latch or SR Flip Flop

Excitation Table for S R Flip Flop

Understanding D Flip Flop Characteristics Table, Function and Excitation Table

Understanding J K Flip Flop Characteristic Table Function and Excitation Table

Understanding T Flip Flop Characteristic Table Function and Excitation Table

Steps for the Conversion of Flip Flops

Conversion of T Flip Flop to S R Flip Flop

Examples on Conversion of Flip Flops

Understanding Clock and Types of Clock Triggering

Understanding Triggering Mechanism of Flip Flop

Introduction to Counters in Digital Electronics

Understanding Types of Counters

Mod 2 Ring Counter in Digital Electronics

Ring Counter with Three D Flip Flops

Understanding Mod 4 Johnson Counter

Understanding Mod 6 Johnson Counter

UP and DOWN Asynchronous Counters

Introduction to Registers

How Shift Register Works the Logic and Circuit

GATE Bits 53, 54 Sequential Circuits

GATE Bits 55, 56 Sequential Circuits

GATE Bits 57, 58 Sequential Circuits

Return to Digital Logic Design

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