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Table of Contents 1

Curriculum Curriculu m Analysis

2

1.1

Units

2

1.2

Number system with the goal

2

1.3

Logic gate with the goal

2

1.4

Boolean algebra with the goal

2

1.5

Boolean analysis of logic circuit with the goal

2

1.6

The general objectives of the unit

3

1.7

Before the lesson the trainees should be able to

3

1.8

At the end of the lesson of the Boolean algebra the trainees should be

3

able to 2

Content Analysis

4

2.1

The goal of the unit

4

2.2

The content by TVTC

5

2.3

The general content by F Hamer, M Lavelle & D McMullan

6

2.4

The general content by A. Anand Kumar

7

2.5

Compare between for the lesson

8

2.6

The TVTC as result from analyze

8

3

Didactic Analysis

11

3.1

Environment

11

3.2

Methodology Analysis

11

4

Lesson plan

12

4.2

General Information

12

4.2.1

General learning objectives

12

4.2.2

Specific learning objectives

12

4.3

Overview of the Intended Process

12

5

Reverences

12

6

Attachments

1

NOT-AND-OR Logic Gate

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1. Curriculum Analysis: The name of this Module is i s Programmable Control Technology "ELT 205" The contact hours for this Module is 52-hour.The hour of lecture is 2-hour. The hour of laboratory is 2-hour.this module consists four of units. units. 1.1.Units : 1.2Unit :Number system with the goals. 

Identify four of number system.



Identify the symbol and Basis of number number system



Convert each part of Number Systems.



Calculate the number system.

1.3Unit :Logic gate with the goals. 

Identify seven of Logic gates.



Write the Symbols.



Write the truth table.



write logic Boolean.



know Electric Logic.

1.4Unit :Boolean algebra with the goals. 

Known to rules of Boolean algebra.



Understand the laws of Boolean algebra.



Understand Boolean functions.



Minimize circuits .



Calculate the Boolean rules.

1.5Unit :Boolean analysis of logic circuit with the goals. 



Convert form Boolean to logic circuit. Be able to simplify Boolean expressions.

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Department:

Module Name: Prerequisites:

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Electrical Technology Programmable Programmable Control Technology Electric Circuit - 2

Electrical

Specialization:

Power

Module code:

ELT 205

Semester

3

Semester

5

Electrical Following

Programmable Programmable Control W/S

This unit two ''Logic Gate'' presents applied and experiment study for logic circuits and the

Credit 4 Hours

programmable logic controller. It also enables the student to draw the control circuits and programs the Program Logic Gate (PLC) using

Contact

the program required for industrial application.

Hours

It also train the trainees to test and maintain

(h/w)

L

2

P

2

T

control circuits.

1.6.The general objectives of the unit: The Boolean algebra algebra and logic gate gate aims to give give the trainees , the the basic mathematics needed for the logic design of digital systems and performance analysis and application of Logic gates. 1.7.Before the lesson the trainees should be are able to: 1. Types of Binary system. 2. Calculate the numbers system 3. Identify of Logic gate. 1.5.At the end of the lesson of the t he Boolean algebra the trainees should should be able to: 1. Understand the basic operations operations and laws of Boolean algebra. algebra. 2. Prove any of these laws using a truth table. 3. Identify of the the symbol, symbol, Boolean algebra, truth table, and electrical-circuit logic gates. 3


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4. Relate these operations and laws to circuits circuits composed composed of (AND, OR) gates. 5. add and multiply the the Boolean Boolean algebra. algebra. 2 Content Analysis: 2.1.The goal of the unit Boolean algebra that the trainees should be able to: 

Write the truth table



Write the symbols



Write logic Boolean.



Simulate control circuits.

2.2. The content by TVTC. http://www.tvtc.gov.sa/Arabic/Departments/Departments/cdd1/Tr/boo1/Pages/ default.aspx,page10 The AND gate follows the rule, “If input A AND input B are both a 1 then the output is a 1 otherwise the output is a 0.” The AND gate can have more more than two inputs. When it does, all inputs must be a 1 before the output is a 1. ( Figure 1 ) AND Gate

Sours : http://mcs.uwsuper.edu/sb/461/PDF/gates.html The OR gate follows the rule, “If either input A OR i nput B is a 1 then the output is a 1 otherwise if both inputs are a 0 t hen the output is a 0.” The OR gate can also have more more than two inputs. When it does only one input has to be a 1 before the output will be a 1

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( Figure 1.2 ) OR Gate

Sours : http://mcs.uwsuper.edu/sb/461/PDF/gates.html 2.3. The general content by F Hamer, M Lavelle & D McMullan: (Boolean Algebra and Logic, F Hamer, M Lavelle & D McMullan) ,p 3,2006

http://www.tech.plym.ac.uk/maths/resources/pdflatex/boolean_alg2.pdf, The package Truth Tables and Boolean Algebra set out the basic principles of logic. Any Boolean algebra operation can be associated with an electronic circuit in which the inputs and outputs represent the statements of Boolean algebra. Although these circuits may be complex, they may all be constructed from basic devices. These are the AND gate, the OR gate. gate. In the case of logic gates, a different notation is used: x ^ y, the logical AND operation, is replaced by x · y, or xy. x ˇ y, the logical OR operation, i s replaced by x + y. 1. Boolean multiplication The commutative law of multiplication for two variables is A.B = B.A This law states that the order in which the variables are AND makes no difference. this this law as applied to the AND gate. Application of commutative commutative law of multiplication ( Figure 2)

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2. Boolean Addition The commutative law of addition for two variables is written as A+B = B+A B+A This law states that the order in which the variables are OR makes no difference. Remember, in Boolean algebra as applied to logic circuits, addition and the OR operation are the same. same. law as applied applied to the OR gate and shows that it doesn't matter to which input each variable is applied. Application of commutative commutative of addition ( Figure 2.1)

. 2.4. The general content by A. Anand Kumar, (Switching Theory and Logic Design, A. Anand Kumar), P104,2009, http://books.google.com.sa/books http://books.googl e.com.sa/books?id=Tv6gRvU ?id=Tv6gRvUtBcoC&pg=PA tBcoC&pg=PA104&dq#v=one 104&dq#v=onepage&q page&q &f=false

1.The Boolean multiplication is equivalent to the AND operation. In Boolean algebra, a product term is the product of literals. In logic circuits, a product term is produced by an AND . Some Some examples examples of product t AB=Q A product term is equal to 1 only if each of the literals in the term is 1. A product term is equal to 0 when one or more of the literals are 0. AND Gate ( Figure 3)

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Sours: http://www.allaboutcircuits.com http://www.allaboutcircuits.com/vol_4/chpt_7/2.html /vol_4/chpt_7/2.html 2.The Boolean addition is equivalent to the OR operation. In Boolean algebra,

a sum term is a sum of literals. In logic circuits, a sum term is produced by an OR Some examples examples of sum terms are A+B=Q OR Gate ( Figure 3.1)

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Sours: http://www.allaboutcircuits.com http://www.allaboutcircuits.com/vol_4/chpt_7/2.html /vol_4/chpt_7/2.html 2.4. Compare between for the TVTC lesson .and F Hamer, M Lavelle Lavelle & D McMullan lesson and A. Anand Anand Kumar lesson. F Hamer, M Lavelle & D A. Anand Kumar

TVTC

McMullan ___

There are writ formula f ormula

There are writ formula

of Boolean algebra.

of Boolean algebra.

There are two logic There are two logic There are two logic gate

gate

gate

There are logic circuit There are truth table There are logic circuit for (AND , OR ) gate

for (AND , OR ) gate.

for (AND , OR ) gate.

2.5. The TVTC as result from analyze. In this lesson talk Boolean algebra is a mathematical structure that is similar to a Boolean ring, ri ng, types and theory of operation of logic gates the construction for logic gates. Four steps logic gates in this from this lesson talk about the symbol, Students should be encouraged to Boolean algebra, truth table, and electrical-circuit logic gates. 1.The Boolean multiplication The Logic AND Function states that two t wo or more events must occur together and at the same time for an output action to occur. The order in which these actions occur is unimportant as it does not affect the final result. For example, 8


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A & B = B & A. In Boolean algebra the Logic AND Function follows the Commutative Law which allows a change in position of either variable. The AND function is represented in electronics by the dot or full full stop symbol ( . ) Thus a 2-input (A B) AND Gate has an output term represented by t he Boolean expression A.B or just AB. ( Figure 4)AND Function Truth Table Switch A

Switch B

Output

Description

0

0

0

A and B are both open, lamp OFF

0

1

0

A is open and B is is closed, lamp lamp OFF

1

0

0

A is closed and B is open, lamp OFF

1

1

1

A is closed and B is closed, lamp ON

Boolean Expression (A AND B)

A . B

( Figure 4.1)Schematic Symbol of AND gate

( Figure 4.2)Electrical Circuit:

Here the two switches, A and B are connected together to form a series circuit. Therefore, in the circuit above, both switch A AND switch B must be closed (Logic “1″) in order to put the lamp on. In other words, both switches must be closed, or at logic “1″ for the lamp to be “ ON”. 9


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2.The Boolean addition The OR function is sometimes called by its full name of “Inclusive OR” The logic or Boolean expression given for a logic OR gate is that for Logical Addition which is denoted by a plus sign, (+). Thus a 2-input (A B) Logic OR Gate has an output output term represented by the Boolean expression expression of: A+B = Q. ( Figure 5)OR Function Truth Table Switch A

Switch B

Output

Description

0

0

0

A and B are both open, lamp OFF

0

1

1

A is open and B is is closed, lamp lamp ON

1

0

1

A is closed and B is open, lamp lamp ON

1

1

1

A is closed and B is closed, lamp lamp ON

Boolean Expression (A OR B)

A + B

( Figure 5.1)Schematic Symbol of OR gate

( Figure 5.2)Electrical Circuit:

Here the two switches A and B are connected in parallel and either Switch A OR Switch B can be closed in order to put the lamp on. In other words, either switch can be closed, or at logic “1″ for the lamp to be “ON”. 10


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3. Didactic Analysis: 3.1Environment There can be 22 trainees expected in the classroom. The average age of the students will be from 19 to 22 years. Grades ranging from 60% to 88% in the college. Each of them has a Certificate secondary high school, All trainees are studying the Diploma, Specialty Electric Power .All trainees from the Riyadh region. There have to be 30 chaises, two whiteboards, projector, compute, test board and marker. The present of this lesson on Sunday 27 April at 10:40 am in 19.F27.The Classroom in the Electrical building at Riyadh College of Technology. First of all, will use whiteboard to explain types of gates. Then, PowerPoint Program to present the time ti me diagram and solution the task.

3.2 Methodology Analysis: Start the lesson choose example for real life to improve the trainees. Also to know some information about the lesson. Then, there are different methods.

1. Using the lecture on the power point and white board: 

To explain explain the logic gates (AND, OR) and give exercise. exercise.



Mind map: This is new method for the RCT.

2. Using the class class room conversion for the task task ,work ,work sheet and exercise to: 

Give trainees questions and worksheets.



Discuss about the solution of the exercise.



Make the trainees trainees solve the worksheet on the whiteboard.

3. Using individual individual work work with the worksheet worksheet to: 

Motivate the trainees to work.



Individually thinking and problem solving .



Assess the trainees.

4. Using the group working to: 

Solve task 11


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4. Lesson Plan 4.1 General Information: Topic: NOT-AND-OR Logic Gate o Name and Student Number: Hatem Ali AL-Ahm AL- Ahmadi adi (202333315) o

Module code: ELT 205

o

Date and Time: 27.04.2014

4.2 Learning Objectives: 4.2.1:General Learning Objectives: The Trainees … 1. Analyze to salve . 2. Will understand the Boolean multiply and add. 4.2.2:Specific Learning Objectives: The Trainees will be able to… to… 1. Explain 2 logic gates (AND, OR,) (Reorganization). 2. Calculate Boolean algebra (Cognitive). 3. Draw the symbols and truth table (Transfer, Psychomotor). Psychomotor). 4.3 Overview of the Intended Process: Opening / Entrance / Motivation Expected Trainer-

Expected Trainee-

action

action

Welcomes the trainees and takes the

Time Methodology Media

Minutes

_ -

-

1 min

attendance. Inductive Trainer give the example form real life.

-

approach

Test

Classroom

board

conversation

12


5 min

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Projector

Video of the Boolean the Boolean algebra.( algebra.( AND , OR )

Presentation

video

Classroom

White

conversation

board

5 min

*Reference (9) Ask the trainee what did learn this video ?

Answer The trainees

Body (Information / Elaboration)

2 min

Time Media

Expected Trainer-

Expected Trainee-

Methodolog

action

action

y

es

Lecture

2

Write the mind map

------

Minut

-----min

AND logic gates on the whiteboard about Truth table, Boolean

Whiteboard

6

Slide 2

min

Lecture

algebra , symbol, and electrical circuits. solve the question on Give the trainees example

the whiteboard by write

Classroom conversation Whiteboard

the Boolean algebra

3 min Slide 3

and truth table for (AND) solve the questions on

worksheet about the


Boolean algebra .

the symbol, truth table

Classroom Conversation Individual

for (AND)

Whiteboard 7min Slide 4

OR logic gates on the whiteboard about Truth table, Boolean

Whiteboard

6

Slide 5

min

Lecture

algebra , symbol, and electrical circuits. Give the trainees

solve the question on

Classroom

Whiteboard 3 min

the whiteboard by write 13


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example

the Boolean algebra

conversation

Slide 6

and truth table for(OR) solve the questions on worksheet about the


Boolean algebra .

the symbol, truth table

Classroom Conversation

Whiteboard

Individual

for (OR)

7 min Slide 7

Close (Reflection, Exercises, Homework, Feedback)

Methodology

Expected Trainer-

Expected Trainee-

action

action

Time Media Minutes

Classroom Give the trainees some questions

the trainees answer the questions.

Conversation

3 min

Feedback

5.Reverences 1. Programmable Logic Logic Controllers, J. w .Wabb and R. A. Reis, Reis, 1994. 2. Programmable Logic Controllers, Controllers, C. Simpson, 1993. 3. Programmable Logic Logic Controller and and their Engineering Engineering Application, Application, A. Crispin, 1990. 4. The PLC workbook, Clement Jewery, 1993. 5. See Resources 6. Boolean Algebra and Logic, F Hamer, M Lavelle & D McMullan 2006, http://www.tech.plym.ac.uk/maths/resources/pdflatex/boolean_alg

2.pdf, 7. TVTC,http://www.tvtc.gov.sa/Arabic/Departments/Departments/cdd1/Tr /boo1/Pages/default.aspx, 8. (Switching Theory and Logic Design, A. Anand Kumar), Kumar),http://books.googl http://books.google.com.sa/books e.com.sa/books?id=Tv6gRvU ?id=Tv6gRvUtBcoC&pg=PA tBcoC&pg=PA104&dq# 104&dq# v=onepage&q&f=false

9. watch video Boolean Logic, Logic, Operators & Expressions , http://educationhttp://educationportal.com/academy/lesson/boolean-logic-operatorsexpressions.html#lesson 14


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6. ATTACHMENTS

15


logic gate - -

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