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Learn MoreFull Course in Fundamentals of logic design
Rating: 4.4 out of 54.4(75 ratings)
488 students
Full Course in Fundamentals of logic design
Digital Logic Design
Created byMoe Alqarain
Last updated 9/2020
English
What you'll learn
- Number System and conversion
- Boolean Algebra
- Applications of Boolean Algebra Miniterm and Maxterm Expansions
- Karnaugh Maps
- Multi-Level Gate Circuits NAND and NOR Gates
Explore related topics
Course content
10 sections • 150 lectures • 20h 7m total length
- Introduction3:47
In this course :
1- after watching section 1, students will be introduced to Different numerical systems such as Binary ,Decimal ,Octal ,Hexadecimal ,etc. . also students will learn how to convert from a base to another.
2-after watching section 2, students would be able to Add/Subtract/Multiply and Divide Unsigned numbers.
3- after studying section 3, Students would be able to Add/Subtract Signed numbers
4- After finishing Section 4, Students will learn the Basic Gates ( AND , OR , Inverter ) and be able to use the Theorems of Boolean algebra .
5- when completing section 5, Students should know from memory and be able to use any of the laws and theorems of Boolean algebra studied in section 4 by doing lots of problems.
6- after finishing section 6 , Students would be able to find the Miniterm (SOP) and a Maxterm (POS) of any expression or circuit for F and F' , and they will be introduced to the Don't Care term.
7- After studying section 7, Students will be able to add and subtract numbers using half and full adders , they will also be able to design them.
8- After watching section 8, Students would be able to use a k-map to obtain the most simplified form of any expression including 2,3,4 and 5 variables.
9- After watching section 9, Students will learn about the Universal gates (NAND and NOR ) and how to use them to represent any gate to design a two and multi level circuits
- 1.1 Numeral Systems9:10
this video introduce four main numerical systems which are Decimal ,Binary , Octal and Hexadecimal systems , and the logic behind them.
- 1.2.a Method 1 ----> Power Series Method5:46
by the end of this video students would be able to convert any base to a Decimal Base.
- Example 1 on Power Series Method ( Base 16 to Decimal )7:27
by the end of this video students would be able to apply the power series method.
- Example 2 on Power Series Method ( Binary to Decimal )9:14
by the end of this video students would be able to apply the power series method on Binary base , and generalize their understanding to convert any base to a decimal base.
- 1.2.b Method 2 ----> The Division Method with example 15:23
by the end of this video students would be able to convert a decimal base to any other base , ( this method is considered the exact opposite of the Power series method ) .
- Example 1---> Division method6:48
by the end of this video students would be able to convert a decimal base to any other base , ( this method is considered the exact opposite of the Power series method ) .
- 1.2.c Method 3 ---> Multiplication Method with example6:14
after watching this video the students would be able to convert a ( non-integer or decimal) base 10 to any other base.
- Example 2 on the Multiplication Method7:15
after watching this video the students would be able to convert a ( non-integer or decimal) base 10 to any other base.
- How to convert a non-10 base to a non-10 base12:39
after watching this video; students would be able to convert a ( non-10 Base) to a ( non-10 base)
ex. (base 6 to base 9 ) or ( base 13 to base 3 ) .....
- conversion from and to base 10
- Quiz 1 solution0:01
the solution of quiz 1
- Octal and Hexadecimal Tables7:11
after watching this video; students would be able to know how many digit any base needs to cover all combinations using Binary system , also students will be introduced to Octal and Hexadecimal tables.
- How to read and write a Binary number9:45
after watching this video; Students would be able to read and write Binary numbers by memory .
students will learn easy method of analyzing Binary numbers.
- 1.2.d Method 4 ----> Convert Octal and Hexadecimal to a Binary3:53
after watching this video; Students would be able to convert Octal and Hexadecimal Bases to a Binary Base
- 1.2.e Method 5 ----> Convert a Binary Base to Octal or Hexadecimal Bases4:51
after watching this video; students would be able to convert a Binary base( base 2 ) to an Octal or Hexadecimal bases ( base 8 or 16 ).
- Multiple of Base 2 Conversion
- Qui 2 Solution0:01
after doing this quiz, students would be able to convert a Binary base( base 2 ) to an Octal or Hexadecimal bases ( base 8 or 16 ).
- 1.3 Introduction to Signed and Unsigned numbers5:11
after watching this video; students would be introduced to the Unsigned and Signed ( the sign would be represented by a digit ; 1 for a negative and 0 for a positive ) numbers system.
- 1.3-a Addition of Unsigned numbers5:39
After watching this video; Students would be able to perform Addition with signed numbers
- 1.3-b Subtraction of Unsigned numbers4:14
After watching this video; Students would be able to perform Subtraction with signed numbers
- 1.3-c Multiplication of Unsigned numbers7:41
After watching this video; Students would be able to perform Multiplication with signed numbers
- 1.3-d Division of Unsigned numbers7:02
After watching this video; Students would be able to perform Long Division with signed numbers
- Division of Unsigned numbers Ex22:37
After watching this video; Students would be able to perform Long Division with signed numbers
- perform long division on Unsigned numbers
- Quiz 3 Solution0:01
After ding this quiz; Students would be able to perform Long Division with signed numbers
- Signed 2's Complement13:22
After watching this video; Students would understand the concept behind representing negative numbers using the 2's complement method , they will be able to convert from ( to read) and to (to write ) 2's complement .
- Signed 1's complement7:54
After watching this video; Students would understand the concept behind representing negative numbers using the 1's complement method , they will be able to convert from ( to read) and to (to write ) 1's complement .
- 2.4-a Add numbers in 2's complement6:47
After watching this video; Students would be able to define and Differentiate between Carry and overflow , also they will figure out a way to detect when the addition result is wrong
- Cases for Addition with 2's complement11:44
After watching this video; Students would be able to add same sign's and different sign's numbers , and will know all cases in organized manner.
- Example on Addition with 2's complement6:43
After watching this video; Students would be able to add numbers using the 2's complement method.
- 2.4-b Add numbers in 1's complement3:33
After watching this video; Students would be able to define and Differentiate between Carry and overflow , also they will figure out a way to detect when the addition result is wrong
- Cases for Addition with 1's complement13:25
After watching this video; Students would be able to add same sign's and different sign's numbers , and will know all cases in organized manner.
- Example Addition with 1's Complement11:16
After watching this video; Students would be able to add numbers using the 1's complement method.
- Adding two numbers using 1's/2's Complement
- Quiz 4 Solution0:01
After doing this quiz; Students would be able to add numbers using the 1's complement method.
- 1.5-a Weighted Codes 8-4-2-1 & 6-3-1-15:35
After watching this video; Students would be introduced to a new Codes with different weight than the normal binary system.
- 1.5-b Unweighted codes ( Excess-3 , 2-out of-5 and Gray codes)5:25
After watching this video; Students would be introduced to a new Codes but this time each bit doesn't have a specific weight.
- ASCII Code3:29
After watching this video; Students would be introduced to a new Alphanumeric Code named American Standard Code for Information Interchange where letters, numbers, and other symbols can be transmitted through computers.
- 2.1 Introduction to boolean algebra5:57
After watching this video; Students would be familiar with the objective and expectation of this Section.
- Definition of Boolean Algebra4:32
After watching this video; student will learn the difference between Boolean Algebra and Regular Algebra which taught in schools.
- 2.2 AND , OR , INVERTER Gates9:30
After watching this video; student will be familiar with the main Gates in Digital Design such as AND , OR and investors .
- Example 1 ---> Boolean Expressions and Truth tables12:40
After watching this video; students will learn how to find the truth table and represent a given Boolean expression with the logic Gates.
- Example 2 --->Validate a Boolean Equation5:27
After watching this video; students will learn how to Verify that an equation is valid by finding the truth table for the expressions of both sides of the equation.
- Example 3 --->Finding a Boolean Expression given a circuit Diagram6:27
After watching this video; Students be able to find a Boolean Expression given the Circuit Diagram , working in a reverse Direction if you compare this Example to Example 1
- Find the truth table of the expression then sketch the circuit Design
- Quiz 5 Solution0:01
After doing this quiz; students will learn how to find the truth table and represent a given Boolean expression using the logic Gates.
- 2.4 Basic theorems of boolean algebra6:58
After watching this video; Students would be introduced to the Basic theorem of Boolean Algebra and they will verify those theorems using switches.
- 2.5 Commutative,Associative, Distributive and DeMorgan's Law5:49
After watching this video; Students will learn the Commutative,Associative, Distributive and DeMorgan's Law.
- 2.6-a Simplification Theorems :Uniting and Absorption Theorems5:26
After watching this video; Students will be familiar with the Uniting and Absorption Theorems that used to eliminate terms in a Boolean expresssion.
- 2.6-b Simplification Theorems :Eliminations and Consensus Theorems7:33
After watching this video; Students will be familiar with the Eliminations theorem that is used to eliminate literals .
also they will be introduced to the Consensus theorem that is used to eliminate terms.
- Example 1 ----> Boolean algebra Theorems6:19
after watching this video; students would learn how to apply the absorption , uniting and elimination theorems.
- Example 2 ----> Boolean algebra Theorems5:38
after watching this video; students would learn how to apply the absorption ,commutative and some of the basic simplification theorems.
- 2.7 Multipling out and Factroing (POS , SOP)11:28
after watching this video; students would learn how to apply the Multiplying out and Factoring Theorems.
- Example 1 ---> SOP , POS9:32
after watching this video; students would be able to convert a Product of Sum (POS) to a Sum of Product and vice versa.
- 2.8 Complementing Boolean Expressions7:53
after watching this video; students would be able take a complement of an expression by applying Dmorgan Theorem.
- Example 1 ---> Simplification theorems.11:30
after watching this video; students would learn how to pick the right theorem for simplification.
- Example 2 ---> Simplification theorems.12:42
after doing this video students would be able to find an expression given a circuit then simplify it
- Example 3 ---> Simplification theorems.15:00
after watching this video; students would learn how to pick the right theorem for simplification.
- Simplification Theorems
- Quiz 6 Solution0:01
after doing this video students would be able to find an expression given a circuit then simplify it
- the Objectives of this section5:11
this video is an introduction to this section , its good to know in advance what you are expecting to learn.
- 3.1 Example 1 ---> Multiplying out and Factoring11:22
after watching this video students would be able to convert a POS (Product of sum ) to a SOP ( Sum of Product ).
- Example 2 ---> Multiplying out and Factoring12:56
after watching this video students would be able to convert a SOP ( Sum of Product ) to a POS (Product of sum ) .
- 3.2-a Exclusive-OR (XOR) and equivalence Operations7:40
After watching this video students will be introduced to the XOR gate, the truth table , the equivalent expression and the laws that govern the XOR gate.
- 3.2-b XNOR Gate and Example 113:32
After watching this video students will be introduced to the XNOR gate, the truth table , the equivalent expression and the laws that govern the XOR gate.
- Example 2 ---> XOR Gate8:55
After watching this video students will be able to simplify a XNOR/ XOR expression.
- 3.3 The Consensus Theorem8:17
after watching this video, students would learn how to apply the consensus theorem and would notice the importance of terms elimination order .
- Example 1 ---> Consensus Theorem8:50
after watching this video, students would learn how to apply the Consensus theorem , and they will understand that the order of terms elimination is important.
- Example 2 ---> Consensus Theorem9:05
after watching this video, students would learn how to apply the Consensus theorem by adding a redundant term first.
- Example 3 ---> Consensus Theorem9:52
after watching this video, students would learn how to apply the Consensus theorem
- Example 4 ---> Consensus Theorem5:45
after watching this video, students would learn how to apply the Consensus theorem
- The consensus theorem
- Quiz 7 Solution0:01
after doing this quiz, students would learn how to apply the Consensus theorem , and they will understand that the order of terms elimination is important.
- 3.4 Algebraic Simplification of switching Expressions15:30
after watching this video, students would learn the order in which simplification Theorems are applied.
- Example 1 ----> Algebraic Simplification7:56
after watching this video, Students will be able to apply Consensus and Eliminating Terms theorems .
- Example 2 ----> Algebraic Simplification21:27
after watching this video, Students will be able to apply the Four simplification theorems on a SOP in the right order.
- Example 3 ----> Algebraic Simplification6:26
after watching this video, Students will be able to apply the Four simplification theorems on a POS in the right order.
- Example 4 ----> Algebraic Simplification4:45
after watching this video, Students will be able to apply The eliminating literals and Combining Terms theorems .
- Example 5 ----> Algebraic Simplification7:52
after watching this video, Students will be able to apply the Four simplification theorems in the right order.
- Example 6 ----> Algebraic Simplification7:58
after watching this video, Students will be able to apply the Four simplification theorems in the right order.
- 3.5 Proving Validity of Equations7:43
after watching this video students would be able to prove that two expression are equivalent
- Example 1 ---> Proving Validity of Equations11:57
after watching this video, Students would be able to validate an equation by manipulating one side of the equation until it is identical to the other side.
- Example 2 ---> Proving Validity of Equations12:21
after watching this video, Students would be able to validate and equation by reducing both sides of the equation independently to the same expression.
- Example 3 ---> Proving Validity of Equations9:59
after watching this video, Students would be able to use the simplification theorems combined with their knowledge of the XOR gate to validate an equation .
- Simplification Theorems
- Quiz 8 Solution0:01
after solving this quiz, Students will be able to apply the Four simplification theorems in the right order.
- Section Objectives2:39
A description of Unit 4 content and some expectations from students.
- 4.1 Conversion of English sentences to Boolean Equations6:16
After watching this video, Students will be able to take an english sentence and translate to a boolean algebra language by highlight the inputs and outputs then establish an equation.
- Example --> Conversion of English sentences to Boolean Equations3:44
After watching this video, Students will be able to take an english sentence and translate to a boolean algebra language by highlight the inputs and outputs then establish an equation.
- Conversion of English sentences to Boolean Equations
- Quiz 9 Solution0:01
After doing this quiz, Students will be able to take an english sentence and translate to a boolean algebra language by highlight the inputs and outputs then establish an equation.
- 4.2 Combinational Logic Design Using a Truth Table17:52
After watching this video, Students will be able to represent a truth table as algebraic Expression.
- 7.3 Minterm and Maxterm Expansions8:40
After watching this video, Students will be able to define and identify Minterms and Maxterms, also will be able to expand any given expression to the Minterm and Maxterm form.
- 7.4 How to find the Minterm and Maxterm of F and F'11:02
After watching this video, Students will be able find a Minterm and Maxterm for a function and its compliment.
- Example 1 ---> How to find the Minterm expansion13:08
After watching this video, Students will be able find a Midterm expansion of a function with 4-variable.
- Example 2 ---> 78 How to Prove and Equation using Miniterm expansion5:44
After watching this video, Students will be prove that two expression are equivalent by finding the minterm expansion of both sides .
- Example 3 ---> 79 How to find the Miniterm/Maxterm expansion of F and F'7:12
After watching this video, Students will be able find a Midterm and Maxterm for a function and its compliment.
- Find the Minterm Expansion of the following expression
- Quiz 10 solution0:01
Student is required to review the previous video then try to expand the given expression to find the Minterm Expansion
- 4.5 Incompetely Specified Functions6:50
After watching this video, Students will understand the concept behind the don't care symbol and where it comes from.
- Example ---> Don't Care12:42
After watching this video, Students will be able to simplify expression including a don't care symbols .
- 4.6 Example 1 ---> of Truth Table Construction7:44
After watching this video, Students will be able to take a life problem and construct a truth table of it , then find an expression to represent that problem.
- Example 2 ---> of Truth Table Construction14:16
After watching this video, Students will be able to take a life problem and construct a truth table of it , then find an expression to represent that problem.
- Example 3 ---> of Truth Table Construction5:11
After watching this video, Students will be able to take a life problem and construct a truth table of it , then find an expression to represent that problem.
- Example 4 ---> of Truth Table Construction7:02
After watching this video, Students will be able to take a life problem and construct a truth table of it , then find an expression to represent that problem.
- Example 5 ---> of Truth Table Construction9:45
After watching this video, Students will be able to take a life problem and construct a truth table of it , then find an expression to represent that problem.
- Truth table construction
- Quiz 11 Solution0:01
After doing this quiz, Students will be able to take a life problem and construct a truth table of it , then find an expression to represent that problem.
- What is half adders?!8:11
After watching this video , students will learn about half adder and the main difference with Full adders.
- Everything you need to know about Full adders !18:35
After watching this video, Students will learn about Full adders and the main difference between then and half adders.
- 4-Bit Parallel Adder8:29
After watching this video, Students will learn how to add two 4-digits numbers using a 4-Bit Parallel adder.
- 4-Bit Parallel Subtractor using 1's Complement8:46
After watching this video, Students will learn how to subtract two 4-digits numbers using a 4-Bit Parallel Subtractor by the 1's complement approach
- 4-Bit Parallel Subtractor using 2's Complement8:59
After watching this video, Students will learn how to subtract two 4-digits numbers using a 4-Bit Parallel Subtractor by the 2's complement approach
- Example 4.40----> half adders12:20
After watching this video, Students will learn how to design a specific circuit using a half adders and some other gates.
- Why do we need to know about Karnaugh maps1:40
After watching this video, Students will learn the reason behind our interest in learning about k-maps.
- 5.1 Minimum Forms of Switching Functions4:47
After watching this video, students will learn the exact definition of Minimum SOP and POS
- 5.2 Two variables Karnaugh Map9:10
After watching this video, Students will learn how to use a 2-variables k-map to simplify functions.
- Three variables K-Ma12:11
After watching this video, Students will learn how to fill in a 3 variables k-map and how to group miniterms.
- Example1 ---> 3 variables K-Map9:00
After watching this video, Students will learn how to find a k-map of a truth table for 3-variables in order to find the most simplified expression.
- Example 2---> 3 variables K-Map7:46
After watching this video, Students will learn how to find the minimum expression given an algebraic expression .
- Example 3 ---> 3 variables K-Map5:56
After watching this video, Students will learn how to find all minimum expressions given a Sum of miniterms.
- Example 4 ---> 3 variables K-Map6:34
After watching this video, Students will learn how to find all minimum expressions given a product of maxterms.
- 3 Variable Karnaugh Map
- Quiz 12 Solution0:01
After doing this quiz, Students will learn how to plot a 3-variable function on a K-map without using minterm expansion or truth table , and how to find the minimum expression given a Sum of product expression.
- Four variables K-Map11:22
After watching this video, Students will learn how to fill in a 4 variables k-map and how to group miniterms.
- Example 1 ---> Variables K-Map10:26
After watching this video, Students will learn how to find the minimum expression given a Sum of miniterms.
- Example 2 ---> 4 variables K-Map4:11
After watching this video, Students will learn how to find the minimum expression given a Sum of miniterms and a sum of Don't Cares.
- Example 3 ---> 4 variables K-Map9:51
After watching this video, Students will learn how to find the minimum expressions given a product of maxterms.
- Example 4 ---> 4 variables K-Map13:14
After watching this video, Students will learn how to find the
1- Maxterm expression of F
2- the minimum SOP of F'
3- the minimum POP of F
given a SOP of F.
- Example 5 ---> Design problem14:55
After watching this video, Students will learn how to Design a circuit with control inputs.
- What is implicants and Prime implicants ?12:20
After watching this video, Students will learn the Definition of implicants and prime implicants and their importance .
- What is a Minimum Sum of Product?!13:01
After watching this video, Students will learn how to find the minimum of SOP and would know if the order of picking groups would affect the process.
- What is an Essential Term?12:19
After watching this video, Students will learn the Definition of essential Terms and how to distinguish those terms from prime implicants.
- The procedure of obaining essentials and Minimum SOP14:54
After watching this video, Students will learn the steps of obtaining essentials and minimum SOP
- Example 1 ---> Finding Minimum SOP's & Essential10:13
After watching this video, Students will learn by solving an example on how to find a SOP and essential terms given a 4-variables sum of minters function
- Example 2 ---> Finding Minimum SOP's & Essential8:44
After watching this video, Students will learn by solving an example on how to find a SOP and essential terms given a 4-variables product of maxterms and Don't cares.
- Example 3 ---> Finding Minimum SOP's & Essential9:03
After watching this video, Students will learn by solving an example on how to find a SOP and essential terms given a 4-variables sum of minters and don'ts cares function
- Example 4 ---> Finding Minimum SOP's & Essential4:29
After watching this video, Students will learn by solving an example on how to find a SOP and essential terms given a 4-variables a miniterm and a sum of Don't cares function
- Prime implicants and Minimum SOP's
- Quiz 13 Solution0:01
after doing this quiz, Students will be able to find all prime implicants and all minimum sum of Products expressions ?
- Five Variable K-Map8:11
After watching this video, Students will learn how to fill in a 5 variable k-map and all possibilities of group shapes .
- How to name terms in a 5 Variable K-Map7:02
After watching this video, Students will be able to name groups of 5 variables in a k-map.
- Example 1 ---> 5-Variables K-Map15:03
After watching this video, Students will learn by solving an example on how to find a minimum expression given a 5-variables sum of minters function
- Example 2 ---> 5-Variables K-Map19:48
After watching this video, Students will learn by solving an example on how to find
1- essential prime implecents
2- all minimum sum of products
3- all prime implicants
given a 5-variables sum of minters function
- Introduction to Multi-Level Gate Circuits NAND and NOR Gates4:39
After watching this video, Students will know the objective of this section which mainly talks about a new two gates that are introduced (NAND and NOR ) and the the eight basic two-level gates can be formed of all the gates that we learned so far.
then how to convert any circuit to only NAND or NOR and finally how to design a multi level circuits .
- Define a terminology used in this section5:59
After watching this video, Students will be able to distinguish between OR-AND , AND-OR ,OR-AND-OR and AND-OR-AND
- What is Level Gates? and why are we concerned about it?!4:13
After watching this video, Students will understand the reason behind our interest on number levels ,gates , and gate inputs.
- Example ---> Number of levels9:11
After watching this video, Students will be able to control the number of levels in any design using the two simplification rules ( Multiplying out and Factoring ).
- How to determine which Design is the best ?!17:51
After watching this video, Students will be able to pick the best design considering the cost and total time delay .
- And-Or vs Or-And-OR gates10:09
After watching this video, Students will learn how to find AND-OR design of a function then move to the OR-AND form.
- Nand and Nor Gates11:47
After watching this video, Students will be introduced to a new two gates called the universal gates ( NAND and NAND ) .
students will also know how to represent all gates using NAND and NOR gates.
- AND-OR --> NAND-NADN --> OR-NAND --> NOR-OR6:31
After watching this video, Students will learn how to maneuver between the first four basic forms of a two level circuits.
- OR-AND --> NOR-NOR --> AND-NOR --> NAND-AND7:43
After watching this video, Students will learn how to maneuver between the second four basic forms of a two level circuits.
- Example ---> The Basic 8 forms16:48
After watching this video, Students will learn by practice how to find the eight basic two level gates of a given expression.
- the eight basic forms
- Quiz 14 Solution0:01
After doing this quiz, students will be able to Implement a given expression as a two level gate circuit using a minimum number of gates.
ONLY by using AND gates and NAND gates .
- Design of Multi-level NAND- and Nor-Gate Circuits5:30
After watching this video, Students will learn how to convert AND and OR to NAND or NOR gates using the bubble convention .
- Example 1---> Convert a circuit to all NOR gates8:42
After watching this video, Students will be able to convert any circuit to all NOR Gates circuit
- Example 2 ---> Convert a circuit to all NAND gates8:47
After watching this video, Students will be able to convert any circuit to all NAND Gates circuit.
- Example 3 ---> Convert a SOP to all NOR gates circuit Method 15:30
After watching this video, Students will be able to design a minimum SOP using NOR gates ONLY.
- Example 3 ---> Convert a SOP to all NOR gates circuit Method 29:09
After watching this video, Students will be able to design a minimum SOP using NOR gates ONLY.
- Comprehensive Example of all chapters26:42
After watching this video, Students will review the entire material in one example!
- Convert a SOP to all NOR gates circuit
- Quiz 15 Solution0:01
After doing this quiz, Students will be able to convert any circuit to all NOR Gates circuit
Requirements
- this is the first course in the logic design of digital systems
- no prerequisites are needed to start this course with
Description
1- Number systems and Conversion
1.1 Digital Systems and Switching Circuits
1.2 Number Systems and Conversion
1.3 Binary Arithmetic
1.4 Representation of Negative Numbers using
a- sign and Magnitude Numbers
b- 2's Complement Numbers
c- 1's Compliment Numbers
and all the above addition
1.5 Binary Codes
2- Boolean Algebra
2.1 Introduction
2.2 Basic Operations
2.3 Boolean Expressions and Truth Tables
2.4 Basic Theorems
2.5 Commutative, Associative, Distributive, and DeMorgan's Laws
2.6 Simplification Theorems
2.7 Multiplying Out and Factoring
2.8 Complementing Boolean Expression
3-Boolean Algebra Theorems
3.1 Multiplying Out and Factoring Expression
3.2 Exclusive-OR and Equivalence Operations
3.3 The Consensus Theorem
3.4 Algebraic Simplification of Switching Expressions
3.5 Proving Validity and Equation
4- Applications of Boolean Algebra Minterm and Maxterm Expansions
4.1 Conversion of English Sentences to Boolean Equations
4.2 Combinational Logic Design Using a Truth Table
4.3 Minterm and Maxterm Expansions
4.4 General Minterm and Maxterm Functions
4.5 Incompletely Specified Functions
4.6 Examples of Truth Table Construction
4.7 Design of Binary Adders and Subtracters
5- Karnaugh Maps
5.1 Minimum Forms of Switching Functions
5.2 Two- and Three- Variable Karnaugh Maps
5.3 Four-Variable Karnaugh Maps
5.4 Determination of Minimum Expressions Using Essential Prime Implicant
5.5 five-Variable Karnaugh Maps
5.6 Other Uses of Karnaugh Maps
5.7 Other Forms of Karnaugh Maps
7-Multi-Level Gate Circuits NAND and NOR Gates.
7.1 Multi-Level Gate Circuits.
7.2 NAND and NOR Gates.
7.3 Design of Two-Level NAND- and NOR-Gate Circuits
7.4 Design of Multi-Level NAND- and NOR-Gate Circuits
7.5 Circuit Conversion Using Alternative Gate Symbols
7.6 Design of Two-Level, Multiple-Output Circuits
Who this course is for:
- Beginners in Computers who would like to understand the logic of computers language
- anyone who would like to learn the fundamental concepts of Boolean algebra to describe the signals and interconnections in a logic circuit