LOGIC DESIGN OF SWITCHING CIRCUITS
INTRODUCTION
This video presents the contents of the 18 chapters of the Course Logic Design of Switching Circuits based in the book with the same name. This book is a text book for Electrical and Electronics Engineering and Technology Courses
LOGIC DESIGN OF SWITCHING CIRCUITS
CHAPTER 1 PART 1
Counting Systems
Number Bases
Decimal Base (10)
Binary Base (2)
Octal Base (8)
Hexadecimal Base (16)
Bit, Byte, Nibble, Word
LOGIC DESIGN OF SWITCHING CIRCUITS
CHAPTER 1 PART 2
Definition of Numerical Base
Conversion from Any Base to Base 10
Conversion from Base 10 to Any Base
Union of Integer and Fractional Part of Converted Number
LOGIC DESIGN OF SWITCHING CIRCUITS
CHAPTER 1 PART 3
Equivalence between Bases
Binary and Octal
Binary and Hexadecimal
Octal and Binary
Hexadecimal and Binary
Definition of Logic – Physical and Logical Level
https://www.youtube.com/watch?v=vrCsO9pq3wU
LOGIC DESIGN OF SWITCHING CIRCUITS
CHAPTER 1 PART 4
Codification Systems:
BCD
Excess 3 Code
Gray Code
ASCII Tables
(American Standard Code for Information Interchange)
LOGIC DESIGN OF SWITCHING CIRCUITS
CHAPTER 1 PART 5
Codes Conversion
Decimal do Gray Code
Gray Code to Decimal
LOGIC DESIGN OF SWITCHING CIRCUITS
CHAPTER 1 PART 6
Operations using Binary Numbers
Sum Operation
Subtraction Operation
Conversion Binary Positive to Binary Negative
Conversion Binary Negative to Binary Positive
LOGIC DESIGN OF SWITCHING CIRCUITS
CHAPTER 1 PART 7
Solved Problems
Problem 1
Problem 2
Problem 3
Problem 4
Problem 5
Problem 6
LOGIC DESIGN OF SWITCHING CIRCUITS
CHAPTER 2 PART 1
Combinational Switching Circuits
Definition of Combinacional Switching Circuits
Adder Complete Circuit
Subtractor Complete Circuit
LOGIC DESIGN OF SWITCHING CIRCUITS
CHAPTER 2 PART 2
Input Symbol of a Combinational Circuit
Input Alphabet of a Combinational Circuit
Output Symbol of a Combinational Circuit
Output Alphabet of a Combinational Circuit
Mapping or True Table
LOGIC DESIGN OF SWITCHING CIRCUITS
CHAPTER 2 PART 3
Algebraic Operations
DUO Operation
TRI Operation
Commutative Property of Operations
Associative Property of Operations
LOGIC DESIGN OF SWITCHING CIRCUITS
CHAPTER 2 PART 4
Boolean Algebra Operations
Unary Operations of Boolean Algebra
Boolean Operations with two Inputs
LOGIC DESIGN OF SWITCHING CIRCUITS
CHAPTER 2 PART 5
Definitions of Boolean Algebra
Definitions of Digital Boolean Algebra
LOGIC DESIGN OF SWITCHING CIRCUITS
CHAPTER 2 PART 6
Boolean Forms
Equivalence of Boolean Forms
LOGIC DESIGN OF SWITCHING CIRCUITS
CHAPTER 2 PART 7
Theorems of Boolean Algebra
Theorem 1
Theorem 2
Theorem 3
LOGIC DESIGN OF SWITCHING CIRCUITS
CHAPTER 2 PART 8
Theorems of Boolean Algebra
Theorem 4
Theorem 5
Theorem 6
LOGIC DESIGN OF SWITCHING CIRCUITS
CHAPTER 2 PART 9
Theorems of Boolean Algebra
Theorem 7
Theorem 8
Theorem 9
LOGIC DESIGN OF SWITCHING CIRCUITS
CHAPTER 2 PART 10
Theorems of Boolean Algebra
Theorem 10 – De Morgan
Theorem 11 – De Morgan – Extension
Theorem12 – Associativity Property of Operations AND and OR
LOGIC DESIGN OF SWITCHING CIRCUITS
CHAPTER 2 PART 11
Operation XOR
Operation XNOR
LOGIC DESIGN OF SWITCHING CIRCUITS
CHAPTER 2 PART 12
Solved Problems
Problem 1
Problem 2
BASIC GEOMETRY – INTRODUCTION
Presentation of the Contents of Each of the Chapters of the Course of Basic Geometry
Introduction
Chapter 1 – Basic Elements of Plane Geometry
Chapter 2 – Postulates of Plane Geometry
Chapter 3 – This Chapter shows the Definitions, Properties and Construction of the Triangles:
Chapter 4 – This Chapter Show the Definitions, Properties, and Construction of Quadrilaterals
Chapter 5 – This Chapter Show the Definitions, Properties, and Construction of Circumferences, Circles, and their Elements
Chapter 6 – This Chapter Shows the Definitions, Properties, and Construction of Various Types of Regular Polygons
Chapter 7 – This Chapter Shows the Definitions, Properties, and Construction of Ellipse, Hyperbola, and Parable Conic Curves
BASIC GEOMETRY
CHAPTER 1 – PART 1
Representation of Points, Lines and Plans
Symbols of Relations
Relations between Points, Lines and Plans
Definitions of Basic Elements of Lines and Plans
Definitions of Basic Elements of Circumference and Circle
BASIC GEOMETRY
CHAPTER 1 PART 2
Definitions of Angle and Types of Angles
Definitions of Complementary and Supplementary Angles
Definitions of Acute, Right, and Obtuse Angles
Definitions of bisector of an angle and bisector of a line
Equivalence of Angle Measurements
BASIC GEOMETRY
CHAPTER 2 – PART 1
Definitions Related to Points, Lines and Plans
Definitions of a Plane by Three-Point
Relations between Points with Lines and Plans
Definition of Semi Plane
Congruent Lines
Definitions of Concurrent and Parallel Lines
Perpendicular Lines
BASIC GEOMETRY
CHAPTER 2 – PART 2
Euclid’s Postulate for no Parallel Straight Lines
Euclid’s Postulate of Parallelism
Theorem on Definition of Plane by Line and Point
Theorem on Definition of Plane by Concurrent Straight Lines
Theorem on Definition of Plane by Parallel Lines
Method for Division of a Segment of Line in Sub Segments with same dimension
Proportionality of Line Sub Segments between Parallel Lines
BASIC GEOMETRY
CHAPTER 3 – PART 1
Basic Triangle Definitions
Definition of Triangle Perimeter
Equilateral Triangle definition
Building a Triangle Equilateral
Isosceles triangle definition
Definition of a Scalene Triangle
Definitions of Triangle Types based on angle values
Rectangle Triangle Definition
Similar Triangles
BASIC GEOMETRY
CHAPTER 3 – PART 2
Sum of the three Interior Angles of a Triangle
Conditions for Congruence of Triangles
Construction of Triangle given One Side and Two Angles
Definition of Exterior Angles of a Triangle
Relations between Interior and Exterior angles of a Triangle
BASIC GEOMETRY
CHAPTER 3 – PART 3
Definitions of Height and Orthocenter of a Triangle
Definition of Circumcenter of a Triangle and of a Circumference Exterior Circumscribed to a Triangle
Definition of a Centroid and Median of a Triangle
Relations between Median segments and Centroid
Relations between dimensions of the Hypotenuse and dimensions of the Median, in a Rectangle Triangle
BASIC GEOMETRY
CHAPTER 3 – PART 4
Concept of the bisector of an angle and Inscribed Circumference
Definition of Incenter of a Triangle
Calculation of the Area of an Acute Triangle
Calculation of the Area for a Right Triangle
Calculation of the Area of a Obtuse Triangle
BASIC GEOMETRY
CHAPTER 3 – PART 5
Theorem of Equivalence of the Areas of Parallelograms and Triangles between Parallel Lines
Theorem of Pythagoras of Samos, that proves the relation between the Hypotenuse and the Catheti or legs in a Rectangle Triangle.
BASIC GEOMETRY
CHAPTER 4 – PART 1
Definition of Quadrilaterals
Quadrilaterals Convex and Concave
Perimeter of a Quadrilateral
Sum of the Interior Angles of Quadrilaterals
Sum of Exterior Angles of Quadrilaterals
Definition of a Square Quadrilateral
Calculation of Area of a Square Quadrilateral
Definition of Inscribed and Circumscribed Circumferences of a Square Quadrilateral
Definition of a Rectangle Quadrilateral
Area of a Rectangular Quadrilateral
BASIC GEOMETRY
CHAPTER 4 PART 2
Definition of Parallelograms
Area of a Quadrilateral Parallelogram
Definition of a Rhomboid Parallelogram
Area of a Rhomboid Parallelogram
Definition of the Scalene Trapezoid Quadrilateral
Definition of Isosceles Trapezoid Quadrilateral
BASIC GEOMETRY
CHAPTER 4 – PART 3
Area of Quadrilateral Trapezoid
Theorem of Equivalence of the Areas of a Triangle and a Parallelogram Constructed between Parallel Lines using the Same Base
Definition and Properties of the Golden Segment and Golden Rectangle
Definition of Golden Ratio or Golden Number
Construction of Golden Segment and Golden Rectangle
BASIC GEOMETRY
CHAPTER 5 –PART1
Basic Definitions of Circumference and Circles
Radio and Diameter Definitions
Definitions on Half Circumference and Semicircle
Definitions of Internal and External Points to a Circumference
Perimeter of a Circle or Length of a Circumference
Area of a Circle
Circle Sector or Circular Sector
Definitions of Arc, Circular Segment, Sagitta and Chord
Circular Segment of One Chord
Circular Segment of two Chords
Definitions of Circular Crown
Definition of Circular Crown Sector
BASIC GEOMETRY
CHAPTER 5 – PART 2
Relative Positions of Two Circumferences Secants
Relative Positions of Two Circumferences Tangents
Relative Positions of Two Circumferences no Tangents and no Secants
Positions of Straight Lines Tangents to the Circumference
Positions of Straight Lines regarding a Circumference or Circle
Properties of Straight Lines Secants to the Circumference
Tangent Segments
Chords Equidistant in a Circumference or Circle
BASIC GEOMETRY
CHAPTER 5 – PART 3
Circumference Inscribed in a Triangle
Circumference Inscribed in a Quadrilateral
Circumscribed Circumference of a Triangle
Circumference Circumscribed in a Quadrilateral
Arc Minor and Arc Major
Inscribed Angle
Right Angle
Tangent Chord Angle
BASIC GEOMETRY
CHAPTER 5 – PART 4
Arc Capable
Power of a Point P internal to a Circumference
Power of a Point P External to a Circumference
Power of a Point P External to a Circumference with a Tangent Line
Fibonacci Spiral and Logarithmic Spiral
BASIC GEOMETRY
CHAPTER 6 – PART 1
Definitions of Polygons Concave and Convex
Definitions of Polygons Regular and no Regular
Types of Regular Polygons
Important Entities and Structures of Regular Polygons
BASIC GEOMETRY
CHAPTER 6 – PART 2
Formulas of Relationships between Elements of Circumscribed Circumference and the Side Triangle
Table of Values for the Central Angle, Sine and Cosine
Calculation of the value of the side, apothem and area of the side triangle
Sum of the External Angles of a Polygon
Sum of Internal Angles of a Polygon
Number of Diagonals of a Polygon
Values of angles in a Regular Polygon
BASIC GEOMETRY
CHAPTER 6 – PART 3
Polygon Regular Hexagon
Polygon Regular Triangle
Polygon Regular Dodecagon
Polygon Regular Square
Polygon Regular Octagon
BASIC GEOMETRY
CHAPTER 6 – PART 4
Polygon Regular Decagon
Polygon Regular Pentagon
Polygon Regular Heptagon
BASIC GEOMETRY
CHAPTER 6 – PART 5
Polygon Regular Nonagon
Polygon Regular Undecagon
Final Considerations on Regular Polygons
Problems to be solved
BASIC GEOMETRY
CHAPTER 7 – PART 1
Definitions about Ellipse Curve
Eccentricity de la Ellipse
Construction of am Ellipse
Tangent to point of an Ellipse
Inner and Outer Concentric Circles
Length Latus Rectum (LR)
Circles Director of Ellipse
Other Definitions for the Ellipse
BASIC GEOMETRY
CHAPTER 7 – PART 2
Definitions about the Hyperbola Curve
Eccentricity of Hyperbola
https://www.youtube.com/watch?v=1Bl-d6gqKAc
BASIC GEOMETRY
CHAPTER 7 – PART 3
Construction of Hyperbola
Tangent to a point of Hyperbola
Auxiliary Circle of Hyperbola
Director Circles of Hyperbola
Asymptotes of a Hyperbola
Other Definitions for Hyperbola
BASIC GEOMETRY
CHAPTER 7 – PART 4
Definitions of the Parabola Curve
Construction of the Parabola
Tangent to the Curve of Parabola
Other Definitions about the Parabola Curve