lesson plan - menifee.k12.ky.us · lesson plan course title: computer maintenance session title:...

IT: Computer Maintenance: Numbering Systems Plan UNT in partnership with TEA, Copyright © . All rights reserved

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Lesson Plan Course Title: Computer Maintenance

Session Title: Numbering Systems

Lesson Duration: Lesson length is subjective and will vary from instructor to instructor

Performance Objective: Upon completion of this assignment, the student will be able to identify the places in binary, decimal, and hexadecimal numbers and know the value of each. The student will work with powers of 16 and relate them to hexadecimal places, powers of 10 and relate them to decimal places, as well as powers of 2 and relate them to binary places. Specific Objectives:

· Demonstrate the ability to convert decimal numbers into binary and hexadecimal numbers. · Demonstrate the ability to convert binary numbers into decimal and hexadecimal numbers. · Demonstrate the ability to convert hexadecimal numbers into decimal and binary numbers.

Preparation

TEKS Correlations: §130.273. Computer Maintenance (4) The student acquires an understanding of computer technologies. The student is expected to: (F) explain the relationships relative to data-communications theory

Instructor/Trainer References:

1. Cisco Systems Networking Academy Program: IT Essentials I: PC Hardware and Software, Chapter 1: Information Technology Basics.

2. Cisco Systems Networking Academy Program: CCNA Semester 1, Chapter 1: Computing Basics, and Chapter 6: Layer 2 Concepts.

3. JES and Co., A+ Certification: Introduction to Computer Hardware, Lesson 8: System Settings: BIOS, IRQ, I/O, and DMA.

Instructional Aids:

1. PowerPoint Presentation: Numbering Systems 2. PowerPoint Presentation Handouts: Numbering Systems 3. Worksheet exercise: Binary numbers (and key) 4. Worksheet exercise: Binary to decimal conversion (and key) 5. Worksheet exercise: Decimal to binary conversion (and key) 6. Worksheet exercise: Hexadecimal conversion (and key) 7. Numbering Systems Exam (and key)

Materials Needed:

1. Copies of Worksheets for each student 2. Copies of Exam for each student


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Equipment Needed: 1. A projection system to display the PowerPoint presentation [PC/Monitor, PC/Projector, etc.]

Learner Students should read the appropriate curriculum material for Numbering Systems [depending on the text/curriculum being used for this course]. This lesson can be taught with only the PowerPoint presentation and worksheet handouts.

Introduction

MI Introduction (LSI Quadrant I):

Having sharp skills in number systems will aid you in your career as an IT professional. With the ability to convert numbers without the use of a calculator, you will be able to quickly and easily solve problems that may arise. Computer systems use the binary numbering system to operate. Why do you think binary is referred to as the “natural” numbering system for computers to accomplish their tasks? [Computers and networking equipment use binary numbers, a series of BITS (short for binary digits) that are either ON (a binary 1) or OFF (a binary 0). They are encoded internally in the PC on microchips and on the computer motherboard’s bus as electrical voltages]. Understanding binary numbers and how they relate to decimal numbers is critical to understanding how computers work internally.

Outline

MI Outline (LSI Quadrant II): Instructor Notes:

1. Introduce numbering systems to students using a

PowerPoint presentation. a. Introduce the students to the base 10 numbering

system (decimal). b. Introduce the students to the base 2 numbering

system (binary). c. Introduce the students to the base 16 numbering

system (hexadecimal). d. Compare and contrast decimal and binary counting. e. Demonstrate decimal to binary conversion [two

methods]. f. Demonstrate binary to decimal conversion [two

methods]. g. Introduce hexadecimal to decimal conversion. h. Discuss basic hexadecimal numbering. i. Demonstrate hexadecimal to binary conversion. j. Demonstrate decimal to hexadecimal conversion. k. Demonstrate hexadecimal to decimal conversion. l. Demonstrate binary to hexadecimal conversion.

2. Students practice number conversion exercise using


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worksheets. a. Students complete the worksheet exercise for binary

numbers. b. Students complete the worksheet exercise for binary

to decimal conversion. c. Students complete the worksheet exercise for

decimal to binary conversion. d. Students complete the worksheet exercise for

hexadecimal conversion.

Application

MI Guided Practice (LSI Quadrant III):

1. Teacher works through the first conversion problem on each worksheet prior to assigning the worksheet to the student for individual completion.

2. Have the students work through the second conversion problem on each worksheet with their peers; rework if necessary.

3. Teacher assists student pairs, providing guidance as necessary or has students

volunteer to work/explain problem 2 for the class.

MI Independent Practice (LSI Quadrant III):

1. Students work independently to complete number system worksheets: a. Students complete the worksheet exercise for binary numbers b. Students complete the worksheet exercise for binary to decimal conversion c. Students complete the worksheet exercise for decimal to binary conversion d. Students complete the worksheet exercise for hexadecimal conversion

Summary

MI Review (LSI Quadrants I and IV):

1. Ask students summary questions. a. What are the symbols used by base 2? [0, 1] b. What are the symbols used by base 10? [0, 1, 2, 3, 4, 5, 6, 7, 8, 9] c. What are the symbols used by base 16? [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, A, B, C,

D, E, F] d. Can you describe a method of converting a decimal number to binary? e. Can you describe a method of converting a binary number to decimal?

2. Demonstrate [one more time] the conversion procedures the students have just

experienced. a. Binary to decimal example b. Decimal to binary example c. Binary to hexadecimal example d. Hexadecimal to binary example


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Evaluation

MI Informal Assessment (LSI Quadrant III):

The teacher will monitor student progress during independent practice and provide independent re-teach/redirection as needed.

MI Formal Assessment (LSI Quadrant III, IV):

Administer the Numbering Systems Exam.

Extension

MI Extension/Enrichment (LSI Quadrant IV):

1. Students that have mastered the conversion techniques can peer-tutor students [one-on-one] that are having difficulty solving the conversions.

2. Students can show their conversion techniques on the board for the entire class to observe.

3. Students can observe their computer’s network interface card (NIC) MAC address in hexadecimal, and convert the MAC address to binary and decimal.


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Icon MI Teaching Strategies Personal Development Strategies

Verbal/ Linguistic

Lecture, discussion, journal writing, cooperative learning, word origins

Reading, highlighting, outlining, teaching others, reciting information

Logical/ Mathematical

Problem-solving, number games, critical thinking, classifying and organizing, Socratic questioning

Organizing material logically, explaining things sequentially, finding patterns, developing systems, outlining, charting, graphing, analyzing information

Visual/Spatial

Mind-mapping, reflective time, graphic organizers, color-coding systems, drawings, designs, video, DVD, charts, maps

Developing graphic organizers, mind-mapping, charting, graphing, organizing with color, mental imagery (drawing in the mind’s eye)

Musical/ Rhythmic

Use music, compose songs or raps, use musical language or metaphors

Creating rhythms out of words, creating rhythms with instruments, playing an instrument, putting words to existing songs

Bodily/ Kinesthetic

Use manipulatives, hand signals, pantomime, real life situations, puzzles and board games, activities, role-playing, action problems

Moving while learning, pacing while reciting, acting out scripts of material, designing games, moving fingers under words while reading

Intrapersonal

Reflective teaching, interviews, reflective listening, KWL charts

Reflecting on personal meaning of information, studying in quiet settings, imagining experiments, visualizing information, journaling

Interpersonal

Cooperative learning, role-playing, group brainstorming, cross-cultural interactions

Studying in a group, discussing information, using flash cards with others, teaching others

Naturalist

Natural objects as manipulatives and as a background for learning

Connecting with nature, forming study groups with like-minded people

Existentialist

Socratic questions, real life situations, global problems/questions

Considering the personal relationship to the larger context

Student Name: Date:

Computer Maintenance I: Numbering Systems Binary to Decimal Worksheet UNT in partnership with TEA, Copyright © . All rights reserved

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1 2 48326412827 26 25 24 23 22 21 20

1 1 1 1 1 1 1 1

= 255+ 16+ + + + + +

This binary number...

Equals this decimal number

1 0 400012827 26 25 24 23 22 21 20

1 0 0 1 0 1 0 1

= 14 9+ 16+ + + + + +

This binary number...

Equals this decimal number

Binary t o Decimal

1 1 0 0 1 0 0 1

0 1 0 0 0 1 1 1

1 0 0 0 0 1 1 0

0 0 0 1 0 0 0 1

1 0 0 0 1 0 0 0

0 0 1 1 1 1 1 0

0 1 0 1 0 1 0 1

1 0 1 0 1 0 1 0

=

=

=

=

=

=

=

=

1.

2.

3.

4.

5.

6.

7.

8.

0 1 1 0 1 1 1 0

0 0 0 1 0 1 1 1

1 1 1 1 1 0 0 0

1 1 1 0 0 0 1 0

0 0 0 1 1 1 0 1

0 1 1 0 1 1 1 1

1 0 0 1 0 1 1 1

1 1 1 0 0 1 0 1

=

=

=

=

=

=

=

=

9.

10.

11.

12.

13.

14.

15.

16.

Convert each binary number into a decimal number.

Computer Maintenance I: Numbering Systems Binary to Decimal Key UNT in partnership with TEA, Copyright © . All rights reserved

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Binary to Decimal Key

1 1 0 0 1 0 0 1 201 0 1 1 0 1 1 1 0 1100 1 0 0 0 1 1 1 71 0 0 0 1 0 1 1 1 231 0 0 0 0 1 1 0 134 1 1 1 1 1 0 0 0 2480 0 0 1 0 0 0 1 17 1 1 1 0 0 0 1 0 2261 0 0 0 1 0 0 0 136 0 0 0 1 1 1 0 1 290 0 1 1 1 1 1 0 62 0 1 1 0 1 1 1 1 1110 1 0 1 0 1 0 1 85 1 0 0 1 0 1 1 1 1511 0 1 0 1 0 1 0 170 1 1 1 0 0 1 0 1 229

Student Name: Date:

Computer Maintenance I: Numbering Systems Decimal to Binary Worksheet UNT in partnership with TEA, Copyright © . All rights reserved

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1. 137=

2. 128=

3. 63=

4. 213=

5. 49 =

6. 111=

7. 242 =

8. 192 =

9. 89 =

10. 2 =

Decimal t o Binary15112823 167

43

21

10

151

20 21 2223252627

1 0 0 1 0 1 124

This decim al num ber...

128 64 32 16 8 4 1

12

Equals t h is b inary num ber128? YE S

16? YE S

4 ? YE S

2? YE S

1? YE S

64 ? NO32? NO

8? NO

Convert each decimal number into a binary number.

11. 200 =

12. 171=

13. 150 =

14. 27=

15. 19 =

16. 189 =

17. 222 =

18. 79 =

19. 73=

20. 136 =

=

Computer Maintenance I: Numbering Systems Decimal to Binary Key UNT in partnership with TEA, Copyright © . All rights reserved

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Decimal to Binary Key

137 1 0 0 0 1 0 0 1 200 1 1 0 0 1 0 0 0 128 1 0 0 0 0 0 0 0 171 1 0 1 0 1 0 1 1 63 0 0 1 1 1 1 1 1 150 1 0 0 1 0 1 1 0

213 1 1 0 1 0 1 0 1 27 0 0 0 1 1 0 1 1 49 0 0 1 1 0 0 0 1 19 0 0 0 1 0 0 1 1

111 0 1 1 0 1 1 1 1 189 1 0 1 1 1 1 0 1 242 1 1 1 1 0 0 1 0 222 1 1 0 1 1 1 1 0 192 1 1 0 0 0 0 0 0 79 0 1 0 0 1 1 1 1 89 0 1 0 1 1 0 0 1 73 0 1 0 0 1 0 0 1 2 0 0 0 0 0 0 1 0 136 1 0 0 0 1 0 0 0

Student Name: Date:

Computer Maintenance I: Numbering Systems Hexadecimal Conversions UNT in partnership with TEA, Copyright © . All rights reserved

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HEXADECIMAL CONVERSIONS INSTRUCTIONS: Convert the following numbers to their appropriate base forms. Record your answers in the spaces provided in the table.

BASE 10 BASE 2 BASE 16

243

10101100

AE

110110

131

3F

98

10010001

146

11000011

4D

11110001

172

E2

100100

195

31

1001111

7B

146

5A

11100000

223

Computer Maintenance I: Numbering Systems Hexadecimal Conversions Key UNT in partnership with TEA, Copyright © . All rights reserved

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HEXADECIMAL CONVERSIONS INSTRUCTIONS: Convert the following numbers to their appropriate base forms

BASE 10 BASE 2 BASE 16

243 11110011 F3

172 10101100 AC

174 10101110 AE

54 110110 36

131 10000011 83

63 111111 3F

98 11000010 62

145 10010001 91

146 10010010 92

195 11000011 C3

77 1001101 4D

241 11110001 F1

172 10101100 AC

226 11100010 E2

36 100100 24

195 11000011 C3

49 110001 31

79 1001111 4F

123 1111010 7B

146 10010010 92

90 1011010 5A

224 11100000 E0

223 11011111 DF

Student Name: Date:

Computer Maintenance I: Numbering Systems Introduction to Binary Systems UNT in partnership with TEA, Copyright © . All rights reserved

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In t roduct ion to Binary N um bers

01

32

64

128

Decimal BinaryFill in the rest of t he numbers, in order.

Part 1 Part 2N ow write the binary number for each decimal number

Decimal Binary

Part 3Fill in t he decimal and binary equivalent s of each exponent .

20=21=22=23=24=25=26=27=

Computer Maintenance I: Numbering Systems Introduction to Binary Systems Key UNT in partnership with TEA, Copyright © . All rights reserved

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Introduction to Binary Numbers Key

Part 1 Part 2 Part 3 Decimal Binary Decimal Binary

0 0 20 1 1 1 1 21 2 10 2 10 21 4 100 3 11 23 8 1000 4 100 24 16 10000 5 101 25 32 100000 6 110 26 64 1000000 7 111 27 128 10000000 8 1000 9 1001 10 1010 11 1011 12 1100 13 1101 14 1110 15 1111 16 10000 32 100000 64 1000000 128 10000000

Student Name:

Date:

Computer Maintenance I: Numbering Systems ExamUNT in partnership with TEA, Copyright © . All rights reserved

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NUMBERING SYSTEMS EXAM DIRECTIONS: Circle the letter that corresponds to the one (1) best answer for each of the questions below. Question 1: All functions of a computer are based upon the use and manipulation of numbers. Which number system is most native to a computer?

A. binary B. decimal C. hexadecimal D. octal

Question 2: What is the decimal conversion of the binary number 11011001?

A. 221 B. 193 C. 217 D. 192

Question 3: What is the hexadecimal conversion of the decimal number 224?

A. F0 B. E0 C. 92 D. 9E

Question 4: What is the decimal conversion of the hexadecimal number 7F?

A. 115 B. 134 C. 201 D. 127

Question 5: What is the binary conversion of the hexadecimal number CB?

A. 10111001 B. 11100001 C. 11000100 D. 11001011

Question 6: Which binary number represents the decimal number 133?

A. 10001011 B. 11000001 C. 10000111 D. 10000101

Computer Maintenance I: Numbering Systems ExamUNT in partnership with TEA, Copyright © . All rights reserved

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Question 7: What is the hexadecimal equivalent of the decimal number 241?

A. E7 B. D3 C. F1 D. A9

Question 8: What is the decimal value of the binary number 11111111?

A. 0 B. 64 C. 192 D. 255

Question 9: What is the definition of a bit?

A. the section of a network that is bounded by bridges, routers, or switches B. a binary digit used in the binary number system, either 0 or 1 C. the interface on an internetworking device, such as a router D. the network areas within which data packets that have collided are propagated

Question 10: Which of the following phrases best describes the decimal numbering system?

A. It is also called the Base 100 Number System. B. It is based on powers of 1. C. It uses the 10 symbols 0 - 9. D. It is the same as the ASCII numbering system.

Question 11: Which numbering system is based on powers of 2?

A. octal B. hexadecimal C. binary D. ASCII

Question 12: What is the decimal number 151 in binary?

A. 10010111 B. 10010110 C. 10101011 D. 10010011

Question 13: What is the binary number 11011010 in decimal?

A. 218 B. 202 C. 222 D. 186

Computer Maintenance I: Numbering Systems Exam UNT in partnership with TEA, Copyright © . All rights reserved

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Question 14: Convert the decimal number 43 to Hex.

A. 2B B. 1F C. EF D. 1A

Question 15: Hexadecimal is used to represent what kind of addresses?

A. IP B. Octal C. MAC D. Digital

Question 16: What is 16 raised to the first power (16 1 )?

A. decimal 1 B. decimal 16 C. hex FF D. hex 16


A. FDD1 B. BAD C. ED D. CAD

Question 18: What is the decimal value of the hex number ABE?

A. 2750 B. 5027 C. 2570 D. 7250

Question 19: What is the hex value of the binary number 11100010?

A. D2 B. E2 C. G2 D. H20


A. octal B. hexadecimal C. binary D. decimal

Computer Maintenance I: Numbering Systems Exam Key UNT in partnership with TEA, Copyright © . All rights reserved

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Numbering Systems Exam Key Question 1: All functions of a computer are based upon the use and manipulation of numbers. Which number system is most native to a computer?

A. binary B. decimal C. hexadecimal D. octal

Question 2: What is the decimal conversion of the binary number 11011001?

A. 221 B. 193 C. 217 D. 192

Question 3: What is the hexadecimal conversion of the decimal number 224?

A. F0 B. E0 C. 92 D. 9E

Question 4: What is the decimal conversion of the hexadecimal number 7F?

A. 115 B. 134 C. 201 D. 127

Question 5: What is the binary conversion of the hexadecimal number CB?

A. 10111001 B. 11100001 C. 11000100 D. 11001011

Question 6: Which binary number represents the decimal number 133?

A. 10001011 B. 11000001 C. 10000111 D. 10000101

Question 7: What is the hexadecimal equivalent of the decimal number 241?

A. E7 B. D3 C. F1 D. A9


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Question 8: What is the decimal value of the binary number 11111111?

A. 0 B. 64 C. 192 D. 255

Question 9: What is the definition of a bit?

A. the section of a network that is bounded by bridges, routers, or switches B. a binary digit used in the binary number system, either 0 or 1 C. the interface on an internetworking device, such as a router D. the network areas within which data packets that have collided are propagated

Question 10: Which of the following phrases best describes the decimal numbering system?

A. It is also called the Base 100 Number System. B. It is based on powers of 1. C. It uses the 10 symbols 0 - 9. D. It is the same as the ASCII numbering system.


A. octal B. hexadecimal C. binary D. ASCII

Question 12: What is the decimal number 151 in binary?

A. 10010111 B. 10010110 C. 10101011 D. 10010011

Question 13: What is the binary number 11011010 in decimal?

A. 218 B. 202 C. 222 D. 186


A. 2B B. 1F C. EF D. 1A


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Question 15: Hexadecimal is used to represent what kind of addresses?

A. IP B. Octal C. MAC D. Digital

Question 16: What is 16 raised to the first power (16 1 )?

A. decimal 1 B. decimal 16 C. hex FF D. hex 16


A. FDD1 B. BAD C. ED D. CAD

Question 18: What is the decimal value of the hex number ABE?

A. 2750 B. 5027 C. 2570 D. 7250

Question 19: What is the hex value of the binary number 11100010?

A. D2 B. E2 C. G2 D. H20


A. octal B. hexadecimal C. binary D. decimal

lesson plan - menifee.k12.ky.us · lesson plan course title: computer maintenance session title:...

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