This document contains a pre-class worksheet for a class. It includes questions about analog vs digital measurements, number bases such as binary, octal, decimal and hexadecimal, and exercises to convert numbers between bases including binary to decimal conversions. Students are asked to fill in charts and show work for the conversions.
This document discusses using the game show Letters and Numbers to illustrate computational and mathematical concepts. It describes implementing versions of the letters and numbers games in Excel/VBA and Delphi to generate all possible expression trees to solve problems. Student feedback on a related assignment was positive, finding the application of algorithms and programming to solve the games' problems interesting. The document concludes Letters and Numbers provides useful examples for showcasing fundamentals of computation and mathematics.
D E S I G N A N D A N A L Y S I S O F A L G O R I T H M S J N T U M O D E L...guest3f9c6b
This document contains four sets of questions for a Design and Analysis of Algorithms exam. Each set contains 8 questions related to algorithms and their analysis. The questions cover topics such as performance analysis, matrix multiplication, binary search trees, greedy algorithms, dynamic programming, graph algorithms, NP-completeness, and more. Students must answer any 5 of the 8 questions in each set, which involve explaining concepts, proving statements, writing pseudocode, and analyzing time complexity.
This document contains a 20 question multiple choice quiz on computer science topics. The questions cover areas like algorithms, data structures, complexity analysis, logic, automata theory and databases. Sample questions ask about the minimum number of multiplications needed to evaluate a polynomial, the expected value of the smallest number in a random sample, and the recovery procedure after a database system crash during transaction logging.
Make Learning and Teaching Math Fun and Effective with Albert's Insomnia!Rick Buchner
Math classes from elementary schools report to us "a 23% increase in computational proficiency in just two weeks" and 33% more 3rd, 4th, and 5th grade students exceeding the state standard exam!
Pre primary schools are using techniques to teach childTrio World School
Pre primary Schools Are Using Techniques to Teach Child
Nursery schools provide a fun, social learning environment where children can develop physically, emotionally, socially, and intellectually. They use techniques like interactive classes, art, music, and field trips to ensure children's holistic development. Teachers undergo regular training to learn the latest teaching methods and understand each child's mindset. Now, schools also incorporate computers which can be engaging for young children to use educational programs. For children with learning difficulties, multi-sensory teaching methods that engage multiple senses are most effective, such as for dyslexic students. Quality education is an important tool for community development.
Power Point Oral Approach Of Method Of Teaching EngglishMarda Ely Shinta
The document discusses the oral approach method of teaching English as a foreign/second language. It was developed in the 1930s by British leaders like Harold Palmer and A.S. Hornby. The goals are to assess students' knowledge, introduce target language, and improve pronunciation, speaking and reading abilities. Key aspects include a focus on vocabulary and grammar control, using spoken language and new language points in each lesson, and structured textbook materials and visual aids. The method is based on behaviorist learning theory and structuralist language theory. It emphasizes accuracy, response, and automatic control through controlled oral drills and repetition.
Development of communication skills in teaching & learning English among ESL ...Vijayeswari Subba Naidu
This document summarizes a workshop on developing communication skills for English as a second language learners. It identifies problems ESL learners face such as lack of motivation and issues with listening, speaking, reading and writing skills. It also outlines strategies discussed at the workshop to improve skills like using activities to make learning enjoyable, setting goals, building confidence, and reducing anxiety. Teachers are encouraged to make lessons relevant, promote collaboration, and motivate students.
This document discusses principles and strategies for teaching young English language learners. It explains that young children acquire language naturally through social interaction and play. Effective teaching strategies include using routines, scaffolding, and making lessons fun, meaningful, and supported. Teachers should draw on theories from Piaget, Vygotsky and Bruner to create interactive lessons that build on children's innate language learning abilities.
This document discusses using the game show Letters and Numbers to illustrate computational and mathematical concepts. It describes implementing versions of the letters and numbers games in Excel/VBA and Delphi to generate all possible expression trees to solve problems. Student feedback on a related assignment was positive, finding the application of algorithms and programming to solve the games' problems interesting. The document concludes Letters and Numbers provides useful examples for showcasing fundamentals of computation and mathematics.
D E S I G N A N D A N A L Y S I S O F A L G O R I T H M S J N T U M O D E L...guest3f9c6b
This document contains four sets of questions for a Design and Analysis of Algorithms exam. Each set contains 8 questions related to algorithms and their analysis. The questions cover topics such as performance analysis, matrix multiplication, binary search trees, greedy algorithms, dynamic programming, graph algorithms, NP-completeness, and more. Students must answer any 5 of the 8 questions in each set, which involve explaining concepts, proving statements, writing pseudocode, and analyzing time complexity.
This document contains a 20 question multiple choice quiz on computer science topics. The questions cover areas like algorithms, data structures, complexity analysis, logic, automata theory and databases. Sample questions ask about the minimum number of multiplications needed to evaluate a polynomial, the expected value of the smallest number in a random sample, and the recovery procedure after a database system crash during transaction logging.
Make Learning and Teaching Math Fun and Effective with Albert's Insomnia!Rick Buchner
Math classes from elementary schools report to us "a 23% increase in computational proficiency in just two weeks" and 33% more 3rd, 4th, and 5th grade students exceeding the state standard exam!
Pre primary schools are using techniques to teach childTrio World School
Pre primary Schools Are Using Techniques to Teach Child
Nursery schools provide a fun, social learning environment where children can develop physically, emotionally, socially, and intellectually. They use techniques like interactive classes, art, music, and field trips to ensure children's holistic development. Teachers undergo regular training to learn the latest teaching methods and understand each child's mindset. Now, schools also incorporate computers which can be engaging for young children to use educational programs. For children with learning difficulties, multi-sensory teaching methods that engage multiple senses are most effective, such as for dyslexic students. Quality education is an important tool for community development.
Power Point Oral Approach Of Method Of Teaching EngglishMarda Ely Shinta
The document discusses the oral approach method of teaching English as a foreign/second language. It was developed in the 1930s by British leaders like Harold Palmer and A.S. Hornby. The goals are to assess students' knowledge, introduce target language, and improve pronunciation, speaking and reading abilities. Key aspects include a focus on vocabulary and grammar control, using spoken language and new language points in each lesson, and structured textbook materials and visual aids. The method is based on behaviorist learning theory and structuralist language theory. It emphasizes accuracy, response, and automatic control through controlled oral drills and repetition.
Development of communication skills in teaching & learning English among ESL ...Vijayeswari Subba Naidu
This document summarizes a workshop on developing communication skills for English as a second language learners. It identifies problems ESL learners face such as lack of motivation and issues with listening, speaking, reading and writing skills. It also outlines strategies discussed at the workshop to improve skills like using activities to make learning enjoyable, setting goals, building confidence, and reducing anxiety. Teachers are encouraged to make lessons relevant, promote collaboration, and motivate students.
This document discusses principles and strategies for teaching young English language learners. It explains that young children acquire language naturally through social interaction and play. Effective teaching strategies include using routines, scaffolding, and making lessons fun, meaningful, and supported. Teachers should draw on theories from Piaget, Vygotsky and Bruner to create interactive lessons that build on children's innate language learning abilities.
The document discusses several approaches to classroom management and discipline, including the assertive approach, business management approach, behavior modification approach, group managerial approach, and group guidance approach. The assertive approach specifies rules and consequences, while the business management approach emphasizes task organization and keeping students focused. The behavior modification approach uses reinforcement and punishment to shape behavior. The group managerial approach responds quickly to issues to prevent problems, and the group guidance approach manipulates surface behaviors and understands group needs and interests.
This document discusses the topic of discipline in an organizational context. It defines discipline as the orderly conduct of affairs by members of an organization who willingly follow necessary regulations to cooperate harmoniously and achieve common goals. The document outlines different types of discipline including self-discipline and enforced discipline. It also discusses principles for maintaining discipline such as involving employees in rule-making and ensuring rules are appropriate and enforced consistently. The ideal form of discipline is seen as self-discipline where employees regulate their own behavior.
150+ ideas on how to use flash cards in different ways. From kindergarten to adult conversation classes. With examples. Downloadable. The flashcard tool is found on www.thelanguagemenu.com
This document discusses discipline and classroom management. It addresses several causes of disciplinary problems such as overcrowded classrooms, poor lighting and ventilation, and inappropriate seating arrangements. Preventative measures are suggested, including cooperative learning strategies and ensuring the teacher is sensitive to possible issues. Tips for being a good disciplinarian are provided, such as knowing your students, showing concern for their welfare, and being calm and consistent. Both acceptable and unacceptable ways of dealing with disciplinary problems are outlined. The importance of establishing routines is discussed as it helps accomplish plans and guides student behavior.
This document discusses issues with spoken English and potential solutions. It notes that English is seen as difficult and is mainly used in school, while native languages are used otherwise. This leads to poor vocabulary, inability to express thoughts, fear of making mistakes, and lack of fluency and guidance in spoken English. Suggested solutions include increasing English exposure from a young age, practicing speaking aloud, joining skill courses, speaking in groups to correct each other, and consistency in using English. The overall message is that English proficiency requires thinking, writing, and speaking in English on a regular basis.
The document provides 10 timeless productivity hacks that will make you more productive. Some of the key hacks include: defining your most important tasks each day; focusing on one task at a time instead of multitasking; creating a morning routine; limiting distractions like social media; prioritizing important work; batching similar tasks; eliminating unnecessary tasks; and doing the task you are most likely to procrastinate first. Following these simple habits can improve overall productivity without needing a complex system.
Class activities for developing speaking skillsNourin Arshad
This document discusses class activities for developing speaking skills. It identifies four types of activities: drills, performance activities, participation activities, and observation activities. It provides examples for each type, including drills that involve repetition of phrases, student speeches, discussions on topics, and students observing something and presenting a summary. Commonly used activities discussed are short speeches, gap activities, role plays, and discussions, along with examples of how they work.
The document discusses effective classroom communication techniques. It emphasizes using descriptive rather than judgmental language when speaking to students. Both parties need to listen - communication is a two-way street. The document outlines aspects of communicating like teaching students to listen, listening to students, using supportive replies, avoiding unintended messages, and maintaining professional confidence while respecting students' rights. Overall, the key is using a descriptive language style to make students feel less defensive and more willing to engage in learning.
The document provides descriptions of 36 different classroom activities for teaching English. The activities focus on a variety of language skills including vocabulary, grammar, speaking, and listening. Some example activities described are matching pictures to numbers, memorizing pictures, guessing covered parts of pictures, and playing games like hot potato and Simon says to reinforce vocabulary.
Leader's Guide to Motivate People at WorkWeekdone.com
To motivate employees, leaders should provide more praise, attention, responsibility, and incentives. Specifically, leaders should recognize employees' good work, keep employees informed about company goals and strategies, assign more challenging tasks with autonomy, establish incentive programs with realistic yet challenging goals, and provide pay raises correlated with employee performance and development. Leaders can use a performance management tool like Weekdone to understand employee status, provide transparent feedback, and align goals across different levels.
This document provides an overview of different number systems including decimal, binary, octal, and hexadecimal. It discusses how to convert between these number systems by using place value and properties of their respective bases. Techniques for converting include dividing or multiplying by the base while tracking remainders. Examples are provided for converting between the different number systems. Common powers and their prefixes for different bases are also defined. The document concludes with discussions of binary addition and multiplication.
This presentation provides an overview and introduction to a university course on computer architecture. It discusses the topics that will be covered in the first two chapters, which provide a review of digital circuits, including combinational logic and sequential logic. The presentation describes the components and building blocks used in digital design, such as gates, flip-flops, multiplexers, and other parts. It also discusses concepts like Boolean algebra and how to analyze the timing and operation of digital circuits. The goal is to establish the necessary background before delving into the main topics of computer architecture.
This document discusses number systems used in digital electronics and computing. It describes the decimal, binary, octal, and hexadecimal number systems. The key points are:
- Computers use the binary number system of zeros and ones for operations, while programmers typically use decimal.
- Conversions can be done between number systems by grouping digits and representing the groups in the target base.
- Binary arithmetic includes addition, subtraction, multiplication, and division using the rules of binary numbers.
- Complement representations like ones complement and twos complement are used for signed binary numbers.
This presentation provides an overview and introduction to a university course on computer architecture. It discusses the topics that will be covered in the first two chapters, which provide a review of digital circuits, including combinational logic and sequential logic. The presentation describes the components and building blocks used in digital design, such as gates, flip-flops, multiplexers, and other parts. It also discusses concepts like Boolean algebra and how to analyze the timing and operation of digital circuits. The goal is to establish the necessary background before delving into the main topics of computer architecture.
This presentation provides an overview and introduction to a university course on computer architecture. It discusses the topics that will be covered in the first two chapters, which provide a review of digital circuits, including combinational logic and sequential logic. The presentation describes the components and building blocks used in digital design, such as gates, flip-flops, multiplexers, and other parts. It also discusses concepts like Boolean algebra and how to analyze the timing and operation of digital circuits. The goal is to establish the necessary background before delving into the main topics of computer architecture.
This document provides an overview of computer architecture and microprocessors. It covers topics such as number systems, data conversions between decimal, binary, octal and hexadecimal numbering systems, binary operations including addition, subtraction and complements, logic gates, Boolean algebra, registers and counters, computer languages, ASCII codes, and an introduction to microprocessors. The goal is to introduce fundamental concepts related to computer hardware and low-level programming.
This document provides an overview of a logic design course, including its objectives, topics, and schedule. The course aims to give students an understanding of binary systems, Boolean algebra, logic gates, combinational and sequential circuits. Key topics include number systems, Boolean logic, minimization techniques, logic gates, arithmetic circuits, flip-flops, counters, and memory devices. The course is scheduled over 16 weeks, with topics like number systems in the first few weeks and sequential circuits in the later weeks.
This document provides an overview of common number systems including decimal, binary, octal, and hexadecimal. It discusses how to convert between these number systems by using place value and properties of their respective bases. Techniques for converting include dividing or multiplying by the base while tracking remainders. Examples are provided for converting decimal to binary, octal to decimal, and other conversions between number systems. Powers of bases are also discussed, along with addition, multiplication, and fractions in different number systems.
This document provides an overview of common number systems including decimal, binary, octal, and hexadecimal. It discusses how to convert between these different number systems by using place value and properties of their respective bases. Techniques for converting include dividing or multiplying by the base while tracking remainders. Examples are provided for converting between the different systems. Later sections cover additional topics like binary operations, fractions and conversions between decimal and binary fractions.
The document provides an overview of number systems and conversions between different bases. It defines positional and non-positional number systems, and discusses the common bases of decimal, binary, octal and hexadecimal. Techniques for converting between these bases are presented, including multiplying/dividing place values and carrying/borrowing. Binary operations like addition, subtraction, multiplication and division are also covered.
For more classes visit
www.snaptutorial.com
1. Does a typical computer have any analog outputs? If so, what are they?
2. List three advantages of digital signal representation as compared to their analog representation.
3. Convert 126 x 10+2 to scientific and engineering notations.
4. Make the following conversions:
a. Convert 0.34 seconds to milliseconds.
This document discusses different number systems including decimal, binary, octal, and hexadecimal. It covers how to represent and convert between these systems. The key points covered are:
- Decimal uses base 10, binary uses base 2, octal uses base 8, and hexadecimal uses base 16
- Each system uses different symbols to represent quantities, from 0-9 for decimal and additional symbols for other systems
- Conversion between systems can be done by dividing or multiplying by the base and tracking remainders or places
- Fractions can be represented by breaking the number into a whole and fractional part in the target base
The document discusses several approaches to classroom management and discipline, including the assertive approach, business management approach, behavior modification approach, group managerial approach, and group guidance approach. The assertive approach specifies rules and consequences, while the business management approach emphasizes task organization and keeping students focused. The behavior modification approach uses reinforcement and punishment to shape behavior. The group managerial approach responds quickly to issues to prevent problems, and the group guidance approach manipulates surface behaviors and understands group needs and interests.
This document discusses the topic of discipline in an organizational context. It defines discipline as the orderly conduct of affairs by members of an organization who willingly follow necessary regulations to cooperate harmoniously and achieve common goals. The document outlines different types of discipline including self-discipline and enforced discipline. It also discusses principles for maintaining discipline such as involving employees in rule-making and ensuring rules are appropriate and enforced consistently. The ideal form of discipline is seen as self-discipline where employees regulate their own behavior.
150+ ideas on how to use flash cards in different ways. From kindergarten to adult conversation classes. With examples. Downloadable. The flashcard tool is found on www.thelanguagemenu.com
This document discusses discipline and classroom management. It addresses several causes of disciplinary problems such as overcrowded classrooms, poor lighting and ventilation, and inappropriate seating arrangements. Preventative measures are suggested, including cooperative learning strategies and ensuring the teacher is sensitive to possible issues. Tips for being a good disciplinarian are provided, such as knowing your students, showing concern for their welfare, and being calm and consistent. Both acceptable and unacceptable ways of dealing with disciplinary problems are outlined. The importance of establishing routines is discussed as it helps accomplish plans and guides student behavior.
This document discusses issues with spoken English and potential solutions. It notes that English is seen as difficult and is mainly used in school, while native languages are used otherwise. This leads to poor vocabulary, inability to express thoughts, fear of making mistakes, and lack of fluency and guidance in spoken English. Suggested solutions include increasing English exposure from a young age, practicing speaking aloud, joining skill courses, speaking in groups to correct each other, and consistency in using English. The overall message is that English proficiency requires thinking, writing, and speaking in English on a regular basis.
The document provides 10 timeless productivity hacks that will make you more productive. Some of the key hacks include: defining your most important tasks each day; focusing on one task at a time instead of multitasking; creating a morning routine; limiting distractions like social media; prioritizing important work; batching similar tasks; eliminating unnecessary tasks; and doing the task you are most likely to procrastinate first. Following these simple habits can improve overall productivity without needing a complex system.
Class activities for developing speaking skillsNourin Arshad
This document discusses class activities for developing speaking skills. It identifies four types of activities: drills, performance activities, participation activities, and observation activities. It provides examples for each type, including drills that involve repetition of phrases, student speeches, discussions on topics, and students observing something and presenting a summary. Commonly used activities discussed are short speeches, gap activities, role plays, and discussions, along with examples of how they work.
The document discusses effective classroom communication techniques. It emphasizes using descriptive rather than judgmental language when speaking to students. Both parties need to listen - communication is a two-way street. The document outlines aspects of communicating like teaching students to listen, listening to students, using supportive replies, avoiding unintended messages, and maintaining professional confidence while respecting students' rights. Overall, the key is using a descriptive language style to make students feel less defensive and more willing to engage in learning.
The document provides descriptions of 36 different classroom activities for teaching English. The activities focus on a variety of language skills including vocabulary, grammar, speaking, and listening. Some example activities described are matching pictures to numbers, memorizing pictures, guessing covered parts of pictures, and playing games like hot potato and Simon says to reinforce vocabulary.
Leader's Guide to Motivate People at WorkWeekdone.com
To motivate employees, leaders should provide more praise, attention, responsibility, and incentives. Specifically, leaders should recognize employees' good work, keep employees informed about company goals and strategies, assign more challenging tasks with autonomy, establish incentive programs with realistic yet challenging goals, and provide pay raises correlated with employee performance and development. Leaders can use a performance management tool like Weekdone to understand employee status, provide transparent feedback, and align goals across different levels.
This document provides an overview of different number systems including decimal, binary, octal, and hexadecimal. It discusses how to convert between these number systems by using place value and properties of their respective bases. Techniques for converting include dividing or multiplying by the base while tracking remainders. Examples are provided for converting between the different number systems. Common powers and their prefixes for different bases are also defined. The document concludes with discussions of binary addition and multiplication.
This presentation provides an overview and introduction to a university course on computer architecture. It discusses the topics that will be covered in the first two chapters, which provide a review of digital circuits, including combinational logic and sequential logic. The presentation describes the components and building blocks used in digital design, such as gates, flip-flops, multiplexers, and other parts. It also discusses concepts like Boolean algebra and how to analyze the timing and operation of digital circuits. The goal is to establish the necessary background before delving into the main topics of computer architecture.
This document discusses number systems used in digital electronics and computing. It describes the decimal, binary, octal, and hexadecimal number systems. The key points are:
- Computers use the binary number system of zeros and ones for operations, while programmers typically use decimal.
- Conversions can be done between number systems by grouping digits and representing the groups in the target base.
- Binary arithmetic includes addition, subtraction, multiplication, and division using the rules of binary numbers.
- Complement representations like ones complement and twos complement are used for signed binary numbers.
This presentation provides an overview and introduction to a university course on computer architecture. It discusses the topics that will be covered in the first two chapters, which provide a review of digital circuits, including combinational logic and sequential logic. The presentation describes the components and building blocks used in digital design, such as gates, flip-flops, multiplexers, and other parts. It also discusses concepts like Boolean algebra and how to analyze the timing and operation of digital circuits. The goal is to establish the necessary background before delving into the main topics of computer architecture.
This presentation provides an overview and introduction to a university course on computer architecture. It discusses the topics that will be covered in the first two chapters, which provide a review of digital circuits, including combinational logic and sequential logic. The presentation describes the components and building blocks used in digital design, such as gates, flip-flops, multiplexers, and other parts. It also discusses concepts like Boolean algebra and how to analyze the timing and operation of digital circuits. The goal is to establish the necessary background before delving into the main topics of computer architecture.
This document provides an overview of computer architecture and microprocessors. It covers topics such as number systems, data conversions between decimal, binary, octal and hexadecimal numbering systems, binary operations including addition, subtraction and complements, logic gates, Boolean algebra, registers and counters, computer languages, ASCII codes, and an introduction to microprocessors. The goal is to introduce fundamental concepts related to computer hardware and low-level programming.
This document provides an overview of a logic design course, including its objectives, topics, and schedule. The course aims to give students an understanding of binary systems, Boolean algebra, logic gates, combinational and sequential circuits. Key topics include number systems, Boolean logic, minimization techniques, logic gates, arithmetic circuits, flip-flops, counters, and memory devices. The course is scheduled over 16 weeks, with topics like number systems in the first few weeks and sequential circuits in the later weeks.
This document provides an overview of common number systems including decimal, binary, octal, and hexadecimal. It discusses how to convert between these number systems by using place value and properties of their respective bases. Techniques for converting include dividing or multiplying by the base while tracking remainders. Examples are provided for converting decimal to binary, octal to decimal, and other conversions between number systems. Powers of bases are also discussed, along with addition, multiplication, and fractions in different number systems.
This document provides an overview of common number systems including decimal, binary, octal, and hexadecimal. It discusses how to convert between these different number systems by using place value and properties of their respective bases. Techniques for converting include dividing or multiplying by the base while tracking remainders. Examples are provided for converting between the different systems. Later sections cover additional topics like binary operations, fractions and conversions between decimal and binary fractions.
The document provides an overview of number systems and conversions between different bases. It defines positional and non-positional number systems, and discusses the common bases of decimal, binary, octal and hexadecimal. Techniques for converting between these bases are presented, including multiplying/dividing place values and carrying/borrowing. Binary operations like addition, subtraction, multiplication and division are also covered.
For more classes visit
www.snaptutorial.com
1. Does a typical computer have any analog outputs? If so, what are they?
2. List three advantages of digital signal representation as compared to their analog representation.
3. Convert 126 x 10+2 to scientific and engineering notations.
4. Make the following conversions:
a. Convert 0.34 seconds to milliseconds.
This document discusses different number systems including decimal, binary, octal, and hexadecimal. It covers how to represent and convert between these systems. The key points covered are:
- Decimal uses base 10, binary uses base 2, octal uses base 8, and hexadecimal uses base 16
- Each system uses different symbols to represent quantities, from 0-9 for decimal and additional symbols for other systems
- Conversion between systems can be done by dividing or multiplying by the base and tracking remainders or places
- Fractions can be represented by breaking the number into a whole and fractional part in the target base
This document provides an overview of Fourier analysis techniques for communication engineering experiments. It introduces Fourier series as a way to expand periodic signals into a sum of complex exponentials. The Fourier series coefficients represent the contribution of each harmonic frequency. MATLAB will be used to implement Fourier analysis and observe its applications in communication systems. Students are expected to review basic MATLAB commands and complete pre-lab exercises on vector operations and plotting signals before conducting the experiment.
This document provides an overview of common number systems including decimal, binary, octal, and hexadecimal. It discusses how to convert between these different number systems by using techniques like dividing by the base to convert to decimal, or grouping bits and converting groups to digits. Examples are provided for converting between all of the number systems. Common powers and operations like addition, subtraction, multiplication and fractions in different bases are also explained. Exercises at the end test the ability to convert values between the systems without a calculator.
The document discusses different number systems including decimal, binary, octal, and hexadecimal. It explains how to represent numbers in these different bases and how to convert between them. The key techniques covered include multiplying place values to convert to and from decimal, grouping bits into sets of 3 or 4 to convert between binary and octal or hexadecimal, and using binary as an intermediate step to convert between non-binary bases. Examples are provided for adding, multiplying, and converting fractions between decimal and binary representations.
This document provides an introduction to a digital design course. It discusses the recommended textbook, course description, grading breakdown, and course outline. The course focuses on fundamental digital concepts like number systems, Boolean algebra, logic gates, combinational and sequential logic. It will cover topics such as binary numbers, Boolean functions, logic gate minimization, adders/subtractors, multiplexers, flip-flops, and finite state machines. Students are expected to attend every lecture and participate in classroom discussions. Grades will be based on projects, midterm exams, and quizzes/assignments.
Number System is a method of representing Numbers on the Number Line with the help of a set of Symbols and rules. These symbols range from 0-9 and are termed as digits. ... Number Systems comprise of multiple types based on the base value for its digits.
This document outlines the topics covered in the 21EC201 - Digital Principles and System Design course. It includes an introduction to number systems, logic gates, combinational logic circuits, Boolean algebra, truth tables and Karnaugh maps. Specific topics mentioned are binary, decimal, octal and hexadecimal number systems, logic gates like AND, OR, NAND, NOR, XOR and XNOR, arithmetic operations in binary and conversions between different number systems.
This document introduces common number systems used in computer science, including decimal, binary, octal, and hexadecimal. It discusses how computers use binary to represent quantities and how to convert between number bases. Key topics covered include counting in binary, converting between decimal and binary, binary addition and multiplication, common powers of 2 used in computing, and representing fractions in binary.
The document outlines a lesson plan covering number systems. It includes converting between decimal, binary, octal, and hexadecimal number systems. The key concepts covered are the different number systems used in computing, including binary, octal, hexadecimal, and their bases. Conversion between these systems involves multiplying digits by place values to get the value in another base. The skills practiced are computational thinking and step-wise thinking. Values reinforced include awareness of computer technology development and patience.
1. PRE-CLASS
6
Please Begin Working on your Pre-Class Questions
PC Points:
Independently & Silently
00
Come in and get started!
Your Pre-Class is part of your Grade! j
PRE-CLASS
2. 1. What is the difference between analog and
digital measurements?
Try it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
Pre-Class worksheet
3. 1. What is the difference between analog and
digital measurements?
Analog measurements are continuous and
encompass all measurements
Digital measurements are discrete and only
allow for certain measurements
Try it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
Pre-Class worksheet
4. 2. List pros and cons of Analog and Digital
Try it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
Pre-Class worksheet
5. 2. List pros and cons of Analog and Digital
Try it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
Pre-Class worksheet
Analog Digital
Natural
Faster
Cheaper
Continuous
Easier to store
Easier to process
Easier to replicate
Higher Noise Immunity
Discrete
6. Base # of Digits Digits Usage
Binary 2 Two 0, 1
Digital Computing
(On or Off)
Octal 8 Eight 0, 1, 2, 3, 4, 5, 6, 7
Unix Permissions
& teaching Hexadecimal
Decimal 10 Ten
0, 1, 2, 3, 4,
5, 6, 7, 8, 9
Number System used by
modern civilizations
Hexadecimal 16 Sixteen
0, 1, 2, 3, 4, 5, 6, 7,
8, 9, A, B, C, D, E, F
Compact notion of
binary data
3. Please fill out the following chart
Try it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
Pre-Class worksheet
7. Base # of Digits Digits Usage
Binary 2
Digital Computing
(On or Off)
Octal
Unix Permissions
& teaching Hexadecimal
Decimal
Number System used by
modern civilizations
Hexadecimal
Compact notion of
binary data
3. Please fill out the following chart
Try it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
Pre-Class worksheet
8. Base # of Digits Digits Usage
Binary 2 Two
Digital Computing
(On or Off)
Octal
Unix Permissions
& teaching Hexadecimal
Decimal
Number System used by
modern civilizations
Hexadecimal
Compact notion of
binary data
3. Please fill out the following chart
Try it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
Pre-Class worksheet
9. Base # of Digits Digits Usage
Binary 2 Two 0, 1
Digital Computing
(On or Off)
Octal
Unix Permissions
& teaching Hexadecimal
Decimal
Number System used by
modern civilizations
Hexadecimal
Compact notion of
binary data
3. Please fill out the following chart
Try it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
Pre-Class worksheet
10. Base # of Digits Digits Usage
Binary 2 Two 0, 1
Digital Computing
(On or Off)
Octal 8
Unix Permissions
& teaching Hexadecimal
Decimal
Number System used by
modern civilizations
Hexadecimal
Compact notion of
binary data
3. Please fill out the following chart
Try it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
Pre-Class worksheet
11. Base # of Digits Digits Usage
Binary 2 Two 0, 1
Digital Computing
(On or Off)
Octal 8 Eight
Unix Permissions
& teaching Hexadecimal
Decimal
Number System used by
modern civilizations
Hexadecimal
Compact notion of
binary data
3. Please fill out the following chart
Try it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
Pre-Class worksheet
12. Base # of Digits Digits Usage
Binary 2 Two 0, 1
Digital Computing
(On or Off)
Octal 8 Eight 0, 1, 2, 3, 4, 5, 6, 7
Unix Permissions
& teaching Hexadecimal
Decimal
Number System used by
modern civilizations
Hexadecimal
Compact notion of
binary data
3. Please fill out the following chart
Try it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
Pre-Class worksheet
13. Base # of Digits Digits Usage
Binary 2 Two 0, 1
Digital Computing
(On or Off)
Octal 8 Eight 0, 1, 2, 3, 4, 5, 6, 7
Unix Permissions
& teaching Hexadecimal
Decimal 10
Number System used by
modern civilizations
Hexadecimal
Compact notion of
binary data
3. Please fill out the following chart
Try it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
Pre-Class worksheet
14. Base # of Digits Digits Usage
Binary 2 Two 0, 1
Digital Computing
(On or Off)
Octal 8 Eight 0, 1, 2, 3, 4, 5, 6, 7
Unix Permissions
& teaching Hexadecimal
Decimal 10 Ten
Number System used by
modern civilizations
Hexadecimal
Compact notion of
binary data
3. Please fill out the following chart
Try it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
Pre-Class worksheet
15. Base # of Digits Digits Usage
Binary 2 Two 0, 1
Digital Computing
(On or Off)
Octal 8 Eight 0, 1, 2, 3, 4, 5, 6, 7
Unix Permissions
& teaching Hexadecimal
Decimal 10 Ten
0, 1, 2, 3, 4,
5, 6, 7, 8, 9
Number System used by
modern civilizations
Hexadecimal
Compact notion of
binary data
3. Please fill out the following chart
Try it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
Pre-Class worksheet
16. Base # of Digits Digits Usage
Binary 2 Two 0, 1
Digital Computing
(On or Off)
Octal 8 Eight 0, 1, 2, 3, 4, 5, 6, 7
Unix Permissions
& teaching Hexadecimal
Decimal 10 Ten
0, 1, 2, 3, 4,
5, 6, 7, 8, 9
Number System used by
modern civilizations
Hexadecimal 16
Compact notion of
binary data
3. Please fill out the following chart
Try it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
Pre-Class worksheet
17. Base # of Digits Digits Usage
Binary 2 Two 0, 1
Digital Computing
(On or Off)
Octal 8 Eight 0, 1, 2, 3, 4, 5, 6, 7
Unix Permissions
& teaching Hexadecimal
Decimal 10 Ten
0, 1, 2, 3, 4,
5, 6, 7, 8, 9
Number System used by
modern civilizations
Hexadecimal 16 Sixteen
Compact notion of
binary data
3. Please fill out the following chart
Try it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
Pre-Class worksheet
18. Base # of Digits Digits Usage
Binary 2 Two 0, 1
Digital Computing
(On or Off)
Octal 8 Eight 0, 1, 2, 3, 4, 5, 6, 7
Unix Permissions
& teaching Hexadecimal
Decimal 10 Ten
0, 1, 2, 3, 4,
5, 6, 7, 8, 9
Number System used by
modern civilizations
Hexadecimal 16 Sixteen
0, 1, 2, 3, 4, 5, 6, 7,
8, 9, A, B, C, D, E, F
Compact notion of
binary data
3. Please fill out the following chart
Try it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
Pre-Class worksheet
19. 4. Convert the number 111 into Decimal
Try it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
Pre-Class worksheet
20. 4. Convert the number 111 into Decimal
Try it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
Pre-Class worksheet
1 1 1
000 000 000
21. 4. Convert the number 111 into Decimal
Try it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
Pre-Class worksheet
1
1 1 1
000 000 000
22. 5. Convert the number 111 into Decimal
Try it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
Pre-Class worksheet
2 1
1 1 1
000 000 000
23. 4. Convert the number 111 into Decimal
Try it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
Pre-Class worksheet
4 2 1
1 1 1
000 000 000
24. 4. Convert the number 111 into Decimal
Try it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
Pre-Class worksheet
4 2 1
1 1 1
000 000 000+4 + 2 + 1
25. 4. Convert the number 111 into Decimal
Try it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
Pre-Class worksheet
4 2 1
1 1 1
000 000 000+4 + 2 + 1
26. 4. Convert the number 111 into Decimal
Try it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
Pre-Class worksheet
4 2 1
1 1 1
000 000 000+4 + 2 + 1
27. 4. Convert the number 111 into Decimal
Try it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
Pre-Class worksheet
4 2 1
1 1 1
000 000 000+4 + 2 + 1 = 7
28. 5. Convert the number 1011 into Decimal
Try it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
Pre-Class worksheet
29. 5. Convert the number 1011 into Decimal
Try it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
Pre-Class worksheet
1 0 1 1
000 000 000 000
30. 5. Convert the number 1011 into Decimal
Try it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
Pre-Class worksheet
1
1 0 1 1
000 000 000 000
31. 5. Convert the number 1011 into Decimal
Try it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
Pre-Class worksheet
2 1
1 0 1 1
000 000 000 000
32. 5. Convert the number 1011 into Decimal
Try it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
Pre-Class worksheet
4 2 1
1 0 1 1
000 000 000 000
33. 5. Convert the number 1011 into Decimal
Try it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
Pre-Class worksheet
8 4 2 1
1 0 1 1
000 000 000 000
34. 5. Convert the number 1011 into Decimal
Try it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
Pre-Class worksheet
8 4 2 1
1 0 1 1
000 000 000 0008 + 2 + 1 = 11
35. 5. Convert the number 1011 into Decimal
Try it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
Pre-Class worksheet
8 4 2 1
1 0 1 1
000 000 000 0008 + 2 + 1 = 11
36. 6. Convert the number 11101001 into Decimal
Try it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
Pre-Class worksheet
37. 6. Convert the number 11101001 into Decimal
Try it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
Pre-Class worksheet
1 1 1 0 1 0 0 1
000 000 000 000 000 000 000 000
38. 6. Convert the number 11101001 into Decimal
Try it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
Pre-Class worksheet
1
1 1 1 0 1 0 0 1
000 000 000 000 000 000 000 000
39. 6. Convert the number 11101001 into Decimal
Try it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
Pre-Class worksheet
2 1
1 1 1 0 1 0 0 1
000 000 000 000 000 000 000 000
40. 6. Convert the number 11101001 into Decimal
Try it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
Pre-Class worksheet
4 2 1
1 1 1 0 1 0 0 1
000 000 000 000 000 000 000 000
41. 6. Convert the number 11101001 into Decimal
Try it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
Pre-Class worksheet
8 4 2 1
1 1 1 0 1 0 0 1
000 000 000 000 000 000 000 000
48. INDEPENDENT ANALYSIS
Independent Analysis
You now have 11 min to try and solve this mystery!
Use the time to become familiarized with the task,
note your observations, and dispute your own claims.
595857565554535251504948474645444342414039383736353433323130292827262524232221201918171615141312111009080706050403020100
49. OBJECTIVE
1. Review Bin-Dec Conversion
2. Go Over Objective, Announcements
You know the drill!!!
3. Review Chapter 2
Intro to Digital Mathematics
4. Finish Exit Ticket, distribute Hw
5. Lab – in room Lab 4 @ 11:30
6. After Class see me for ?/help
50. Course Evaluation and Grading
Final Grades will be based on:
Category Weight
Labs 25%
Assignments 15%
Quizzes 10%
Unit Exams 15%
Laboratory Final 15%
Final Exam 20%
Total 100%
Grading Rubric for DigitalET 255
51. As if math alone
wasn’t hard enough
already…
Mathematical Operations in Binary
Chapter 2: 2-1 through 2-6
1.1 – 1.7 pg 40 – pg 61
52. Signed and Unsigned numbers
Mathematical Operations
In order to understand binary mathematics, we have
to understand some basic DECIMAL addition
ET 255ET 255 Number Systems and operations
Binary Power 2 1 2 1 2 1 2 1
Binary 0 0 0 1 1 0 1 1
Calculation: 0+0 0+1 2+0 2+1
Decimal 0 1 2 3
53. Signed and Unsigned numbers
Mathematical Operations
In order to understand binary mathematics, we have
to understand some basic DECIMAL addition
ET 255ET 255 Number Systems and operations
Binary Power 2 1 2 1 2 1 2 1
Binary 0 0 0 1 1 0 1 1
Calculation: 0+0 0+1 2+0 2+1
Decimal 0 1 2 3
54. Signed and Unsigned numbers
Mathematical Operations
In order to understand binary mathematics, we have
to understand some basic DECIMAL addition
ET 255ET 255 Number Systems and operations
Binary Power 2 1 2 1 2 1 2 1
Binary 0 0 0 1 1 0 1 1
Calculation: 0+0 0+1 2+0 2+1
Decimal 0 1 2 3
55. Signed and Unsigned numbers
Mathematical Operations
In order to understand binary mathematics, we have
to understand some basic DECIMAL addition
ET 255ET 255 Number Systems and operations
Binary Power 2 1 2 1 2 1 2 1
Binary 0 0 0 1 1 0 1 1
Calculation: 0+0 0+1 2+0 2+1
Decimal 0 1 2 3
56. Signed and Unsigned numbers
Mathematical Operations
The following table illustrates the binary
representation of the following decimal values
ET 255ET 255 Number Systems and operations
Decimal Binary
0 00
1 01
2 10
3 11
57. Signed and Unsigned numbers
Mathematical Operations
Next, let’s look at some basic Decimal Operations
ET 255ET 255 Number Systems and operations
1
0 0 1 1
+ 0 + 1 + 1 + 1
0 1 2 3
58. Signed and Unsigned numbers
Mathematical Operations
Next, let’s look at some basic Decimal Operations
ET 255ET 255 Number Systems and operations
1
0 0 1 1
+ 0 + 1 + 1 + 1
0 1 2 3
59. Signed and Unsigned numbers
Mathematical Operations
Next, let’s look at some basic Decimal Operations
ET 255ET 255 Number Systems and operations
1
0 0 1 1
+ 0 + 1 + 1 + 1
0 1 2 3
60. Signed and Unsigned numbers
Mathematical Operations
Next, let’s look at some basic Decimal Operations
ET 255ET 255 Number Systems and operations
1
0 0 1 1
+ 0 + 1 + 1 + 1
0 1 2 3
61. Signed and Unsigned numbers
Mathematical Operations
Next, let’s look at some basic Decimal Operations
ET 255ET 255 Number Systems and operations
1
0 0 1 1
+ 0 + 1 + 1 + 1
0 1 2 3
62. Signed and Unsigned numbers
Mathematical Operations
Next, let’s look at some basic Decimal Operations
ET 255ET 255 Number Systems and operations
1
0 0 1 1
+ 0 + 1 + 1 + 1
0 1 2 3
OMG
like so what!
63. Signed and Unsigned numbers
Mathematical Operations
Next, let’s look at some basic Decimal Operations
ET 255ET 255 Number Systems and operations
1
0 0 1 1
+ 0 + 1 + 1 + 1
0 1 2 3
So with binary
This means . . .
64. Signed and Unsigned numbers
Mathematical Operations
Next, let’s look at some basic Decimal Operations
ET 255ET 255 Number Systems and operations
1
0 0 1 1
+ 0 + 1 + 1 + 1
0 1 2 3
0
So with binary
This means . . .
65. Signed and Unsigned numbers
Mathematical Operations
Next, let’s look at some basic Decimal Operations
ET 255ET 255 Number Systems and operations
1
0 0 1 1
+ 0 + 1 + 1 + 1
0 1 2 3
0 1
So with binary
This means . . .
66. Signed and Unsigned numbers
Mathematical Operations
Next, let’s look at some basic Decimal Operations
ET 255ET 255 Number Systems and operations
1
0 0 1 1
+ 0 + 1 + 1 + 1
0 1 2 3
0 1 1 0
So with binary
This means . . .
67. Signed and Unsigned numbers
Mathematical Operations
Next, let’s look at some basic Decimal Operations
ET 255ET 255 Number Systems and operations
1
0 0 1 1
+ 0 + 1 + 1 + 1
0 1 2 3
0 1 1 0 1 1
So with binary
This means . . .
68. Signed and Unsigned numbers
Mathematical Operations
Similarly, let’s look at Subtraction
ET 255ET 255 Number Systems and operations
0 1 1 2
- 0 - 0 - 1 - 1
0 1 0 1
69. Signed and Unsigned numbers
Mathematical Operations
Similarly, let’s look at Subtraction
ET 255ET 255 Number Systems and operations
0 1 1 2
- 0 - 0 - 1 - 1
0 1 0 1
70. Signed and Unsigned numbers
Mathematical Operations
Similarly, let’s look at Subtraction
ET 255ET 255 Number Systems and operations
0 1 1 2
- 0 - 0 - 1 - 1
0 1 0 1
71. Signed and Unsigned numbers
Mathematical Operations
Similarly, let’s look at Subtraction
ET 255ET 255 Number Systems and operations
0 1 1 2
- 0 - 0 - 1 - 1
0 1 0 1
72. Signed and Unsigned numbers
Mathematical Operations
Similarly, let’s look at Subtraction
ET 255ET 255 Number Systems and operations
0 1 1 2
- 0 - 0 - 1 - 1
0 1 0 1
73. Signed and Unsigned numbers
Mathematical Operations
Similarly, let’s look at Subtraction
ET 255ET 255 Number Systems and operations
0 1 1 2
- 0 - 0 - 1 - 1
0 1 0 1
So with binary
This means . . .
74. Signed and Unsigned numbers
Mathematical Operations
Similarly, let’s look at Subtraction
ET 255ET 255 Number Systems and operations
0 1 1 1 0
- 0 - 0 - 1 - 1
0 1 0 1
So with binary
This means . . .
75. INDEPENDENT ANALYSIS
Independent Analysis
You now have 11 min to try and solve this mystery!
Use the time to become familiarized with the task,
note your observations, and dispute your own claims.
595857565554535251504948474645444342414039383736353433323130292827262524232221201918171615141312111009080706050403020100
76. Signed and Unsigned numbers
Mathematical Operations
Let’s look at Addition
ET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
1 0 2
+ 1 + 1
77. Signed and Unsigned numbers
Mathematical Operations
Let’s look at Addition
ET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
1 0 2
+ 1 + 1
78. Signed and Unsigned numbers
Mathematical Operations
Let’s look at Addition
ET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
1 0 2
+ 1 + 1
79. Signed and Unsigned numbers
Mathematical Operations
Let’s look at Addition
ET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
1 0 2
+ 1 + 1
80. Signed and Unsigned numbers
Mathematical Operations
Let’s look at Addition
ET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
1 0 2
+ 1 + 1
1
81. Signed and Unsigned numbers
Mathematical Operations
Let’s look at Addition
ET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
1 0 2
+ 1 + 1
1 1
82. Signed and Unsigned numbers
Mathematical Operations
Let’s look at Addition
ET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
1 0 2
+ 1 + 1
1 1 3
83. Signed and Unsigned numbers
Mathematical Operations
Similarly, let’s look at Subtraction
ET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
1 1
- 1
84. Signed and Unsigned numbers
Mathematical Operations
Similarly, let’s look at Subtraction
ET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
1 1 3
- 1 -
85. Signed and Unsigned numbers
Mathematical Operations
Similarly, let’s look at Subtraction
ET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
1 1 3
- 1 - 1
86. Signed and Unsigned numbers
Mathematical Operations
Similarly, let’s look at Subtraction
ET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
1 1 3
- 1 - 1
87. Signed and Unsigned numbers
Mathematical Operations
Similarly, let’s look at Subtraction
ET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
1 1 3
- 1 - 1
0
88. Signed and Unsigned numbers
Mathematical Operations
Similarly, let’s look at Subtraction
ET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
1 1 3
- 1 - 1
1 0
89. Signed and Unsigned numbers
Mathematical Operations
Similarly, let’s look at Subtraction
ET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
1 1 3
- 1 - 1
1 0 2
90. Signed and Unsigned numbers
Mathematical Operations
Now let’s try a more difficult problem!
ET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
1 1 0
+ 0 1 1
91. Signed and Unsigned numbers
Mathematical Operations
Now let’s try a more difficult problem!
ET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
1 1 0 6
+ 0 1 1
92. Signed and Unsigned numbers
Mathematical Operations
Now let’s try a more difficult problem!
ET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
1 1 0 6
+ 0 1 1 3
93. Signed and Unsigned numbers
Mathematical Operations
Now let’s try a more difficult problem!
ET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
1 1 0 6
+ 0 1 1 + 3
94. Signed and Unsigned numbers
Mathematical Operations
Now let’s try a more difficult problem!
ET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
1 1 0 6
+ 0 1 1 + 3
1
95. Signed and Unsigned numbers
Mathematical Operations
Now let’s try a more difficult problem!
ET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
1 1 0 6
+ 0 1 1 + 3
0 1
1
96. Signed and Unsigned numbers
Mathematical Operations
Now let’s try a more difficult problem!
ET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
1 1 0 6
+ 0 1 1 + 3
1 0 0 1
1
97. Signed and Unsigned numbers
Mathematical Operations
Now let’s try a more difficult problem!
ET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
1 1 0 6
+ 0 1 1 + 3
1 0 0 1 9
1
98. Signed and Unsigned numbers
Mathematical Operations
Now let’s try a more difficult problem!
ET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
1 0 1
- 0 1 1
99. Signed and Unsigned numbers
Mathematical Operations
Now let’s try a more difficult problem!
ET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
1 0 1 5
- 0 1 1
100. Signed and Unsigned numbers
Mathematical Operations
Now let’s try a more difficult problem!
ET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
1 0 1 5
- 0 1 1 3
101. Signed and Unsigned numbers
Mathematical Operations
Now let’s try a more difficult problem!
ET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
1 0 1 5
- 0 1 1 - 3
102. Signed and Unsigned numbers
Mathematical Operations
Now let’s try a more difficult problem!
ET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
1 0 1 5
- 0 1 1 - 3
0
103. Signed and Unsigned numbers
Mathematical Operations
Now let’s try a more difficult problem!
ET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
1 0 1 5
- 0 1 1 - 3
0
1
104. Signed and Unsigned numbers
Mathematical Operations
Now let’s try a more difficult problem!
ET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
1 0 1 5
- 0 1 1 - 3
1 0
1
105. Signed and Unsigned numbers
Mathematical Operations
Now let’s try a more difficult problem!
ET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
1 0 1 5
- 0 1 1 - 3
1 0 2
1
106. INDEPENDENT ANALYSIS
Independent Analysis
You now have 11 min to try and solve this mystery!
Use the time to become familiarized with the task,
note your observations, and dispute your own claims.
595857565554535251504948474645444342414039383736353433323130292827262524232221201918171615141312111009080706050403020100
107. Signed and Unsigned numbersET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
1 1
+ 1 1
Example 1 Example 2
1 0 0
+ 1 0
Example 3 Example 4
1 1 0 1
+ 1 1 1
1 1 1
+ 1 1
108. Signed and Unsigned numbersET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
1 1
+ 1 1
0
Example 1 Example 2
1 0 0
+ 1 0
Example 3 Example 4
1 1 0 1
+ 1 1 1
1 1 1
+ 1 1
1
109. Signed and Unsigned numbersET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
1 1
+ 1 1
1 1 0
Example 1 Example 2
1 0 0
+ 1 0
Example 3 Example 4
1 1 0 1
+ 1 1 1
1 1 1
+ 1 1
1
110. Signed and Unsigned numbersET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
1 1
+ 1 1
1 1 0
Example 1 Example 2
1 0 0
+ 1 0
0
Example 3 Example 4
1 1 0 1
+ 1 1 1
1 1 1
+ 1 1
1
111. Signed and Unsigned numbersET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
1 1
+ 1 1
1 1 0
Example 1 Example 2
1 0 0
+ 1 0
1 0
Example 3 Example 4
1 1 0 1
+ 1 1 1
1 1 1
+ 1 1
1
112. Signed and Unsigned numbersET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
1 1
+ 1 1
1 1 0
Example 1 Example 2
1 0 0
+ 1 0
1 1 0
Example 3 Example 4
1 1 0 1
+ 1 1 1
1 1 1
+ 1 1
1
113. Signed and Unsigned numbersET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
1 1
+ 1 1
1 1 0
Example 1 Example 2
1 0 0
+ 1 0
1 1 0
Example 3 Example 4
1 1 0 1
+ 1 1 1
1 1 1
+ 1 1
0
1
1
114. Signed and Unsigned numbersET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
1 1
+ 1 1
1 1 0
Example 1 Example 2
1 0 0
+ 1 0
1 1 0
Example 3 Example 4
1 1 0 1
+ 1 1 1
1 1 1
+ 1 1
1 0
1
11
115. Signed and Unsigned numbersET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
1 1
+ 1 1
1 1 0
Example 1 Example 2
1 0 0
+ 1 0
1 1 0
Example 3 Example 4
1 1 0 1
+ 1 1 1
1 1 1
+ 1 1
1 0 1 0
1
11
116. Signed and Unsigned numbersET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
1 1
+ 1 1
1 1 0
Example 1 Example 2
1 0 0
+ 1 0
1 1 0
Example 3 Example 4
1 1 0 1
+ 1 1 1
0
1 1 1
+ 1 1
1 0 1 0
1
11 1
117. Signed and Unsigned numbersET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
1 1
+ 1 1
1 1 0
Example 1 Example 2
1 0 0
+ 1 0
1 1 0
Example 3 Example 4
1 1 0 1
+ 1 1 1
0 0
1 1 1
+ 1 1
1 0 1 0
1
11 1 1
118. Signed and Unsigned numbersET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
1 1
+ 1 1
1 1 0
Example 1 Example 2
1 0 0
+ 1 0
1 1 0
Example 3 Example 4
1 1 0 1
+ 1 1 1
1 0 0
1 1 1
+ 1 1
1 0 1 0
1
11 11 1
119. Signed and Unsigned numbersET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
1 1
+ 1 1
1 1 0
Example 1 Example 2
1 0 0
+ 1 0
1 1 0
Example 3 Example 4
1 1 0 1
+ 1 1 1
1 0 1 0 0
1 1 1
+ 1 1
1 0 1 0
1
11 11 1
120. Signed and Unsigned numbersET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
1 1
- 1 0
Example 5 Example 6
1 1 0 1
- 0 1 1
Example 7 Example 8
1 1 1 0
- 1 1 0 1
1 1 1 1
- 1 0 1
121. Signed and Unsigned numbersET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
1 1
- 1 0
1
Example 5 Example 6
1 1 0 1
- 0 1 1
Example 7 Example 8
1 1 1 0
- 1 1 0 1
1 1 1 1
- 1 0 1
122. Signed and Unsigned numbersET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
1 1
- 1 0
0 1
Example 5 Example 6
1 1 0 1
- 0 1 1
Example 7 Example 8
1 1 1 0
- 1 1 0 1
1 1 1 1
- 1 0 1
123. Signed and Unsigned numbersET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
1 1
- 1 0
0 1
Example 5 Example 6
1 1 0 1
- 0 1 1
0
Example 7 Example 8
1 1 1 0
- 1 1 0 1
1 1 1 1
- 1 0 1
124. Signed and Unsigned numbersET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
1 1
- 1 0
0 1
Example 5 Example 6
1 0 0 1
- 0 1 1
0
Example 7 Example 8
1 1 1 0
- 1 1 0 1
1 1 1 1
- 1 0 1
1
125. Signed and Unsigned numbersET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
1 1
- 1 0
0 1
Example 5 Example 6
1 0 0 1
- 0 1 1
1 0
Example 7 Example 8
1 1 1 0
- 1 1 0 1
1 1 1 1
- 1 0 1
1
126. Signed and Unsigned numbersET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
1 1
- 1 0
0 1
Example 5 Example 6
1 0 0 1
- 0 1 1
0 1 0
Example 7 Example 8
1 1 1 0
- 1 1 0 1
1 1 1 1
- 1 0 1
1
127. Signed and Unsigned numbersET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
1 1
- 1 0
0 1
Example 5 Example 6
1 0 0 1
- 0 1 1
1 0 1 0
Example 7 Example 8
1 1 1 0
- 1 1 0 1
1 1 1 1
- 1 0 1
1
128. Signed and Unsigned numbersET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
1 1
- 1 0
0 1
Example 5 Example 6
1 0 0 1
- 0 1 1
1 0 1 0
Example 7 Example 8
1 1 1 0
- 1 1 0 1
1 1 1 1
- 1 0 1
0
1
129. Signed and Unsigned numbersET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
1 1
- 1 0
0 1
Example 5 Example 6
1 0 0 1
- 0 1 1
1 0 1 0
Example 7 Example 8
1 1 1 0
- 1 1 0 1
1 1 1 1
- 1 0 1
1 0
1
130. Signed and Unsigned numbersET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
1 1
- 1 0
0 1
Example 5 Example 6
1 0 0 1
- 0 1 1
1 0 1 0
Example 7 Example 8
1 1 1 0
- 1 1 0 1
1 1 1 1
- 1 0 1
0 1 0
1
131. Signed and Unsigned numbersET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
1 1
- 1 0
0 1
Example 5 Example 6
1 0 0 1
- 0 1 1
1 0 1 0
Example 7 Example 8
1 1 1 0
- 1 1 0 1
1 1 1 1
- 1 0 1
1 0 1 0
1
132. Signed and Unsigned numbersET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
1 1
- 1 0
0 1
Example 5 Example 6
1 0 0 1
- 0 1 1
1 0 1 0
Example 7 Example 8
1 1 0 0
- 1 1 0 1
1 1 1 1
- 1 0 1
1 0 1 0
1
1
133. Signed and Unsigned numbersET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
1 1
- 1 0
0 1
Example 5 Example 6
1 0 0 1
- 0 1 1
1 0 1 0
Example 7 Example 8
1 1 0 0
- 1 1 0 1
1
1 1 1 1
- 1 0 1
1 0 1 0
1
1
134. Signed and Unsigned numbersET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
1 1
- 1 0
0 1
Example 5 Example 6
1 0 0 1
- 0 1 1
1 0 1 0
Example 7 Example 8
1 1 0 0
- 1 1 0 1
0 1
1 1 1 1
- 1 0 1
1 0 1 0
1
1
135. Signed and Unsigned numbersET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
1 1
- 1 0
0 1
Example 5 Example 6
1 0 0 1
- 0 1 1
1 0 1 0
Example 7 Example 8
1 1 0 0
- 1 1 0 1
0 0 1
1 1 1 1
- 1 0 1
1 0 1 0
1
1
136. Signed and Unsigned numbersET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
1 1
- 1 0
0 1
Example 5 Example 6
1 0 0 1
- 0 1 1
1 0 1 0
Example 7 Example 8
1 1 0 0
- 1 1 0 1
0 0 0 1
1 1 1 1
- 1 0 1
1 0 1 0
1
1
137. Signed and Unsigned numbersET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
Example 9 Example 10
0 1 0
0 0 1
+ 1 1 0
0 0 1
1 0 1
+ 1 1 1
138. Signed and Unsigned numbersET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
Example 9 Example 10
0 1 0
0 0 1
+ 1 1 0
1
0 0 1
1 0 1
+ 1 1 1
139. Signed and Unsigned numbersET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
Example 9 Example 10
0 1 0
0 0 1
+ 1 1 0
0 1
0 0 1
1 0 1
+ 1 1 1
1
140. Signed and Unsigned numbersET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
Example 9 Example 10
0 1 0
0 0 1
+ 1 1 0
1 0 0 1
0 0 1
1 0 1
+ 1 1 1
1
141. Signed and Unsigned numbersET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
Example 9 Example 10
0 1 0
0 0 1
+ 1 1 0
1 0 0 1
0 0 1
1 0 1
+ 1 1 1
1
1 1
142. Signed and Unsigned numbersET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
Example 9 Example 10
0 1 0
0 0 1
+ 1 1 0
1 0 0 1
0 0 1
1 0 1
+ 1 1 1
0 1
1 11
143. Signed and Unsigned numbersET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
Example 9 Example 10
0 1 0
0 0 1
+ 1 1 0
1 0 0 1
0 0 1
1 0 1
+ 1 1 1
1 1 0 1
1 11
144. Signed and Unsigned numbersET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
Example 11 Example 12
1 0 0 0
0 1 0 1
0 1 1 1
+ 0 0 1 1
1 0 0 0
0 0 1 1
0 1 1 1
1 1 0 1
+ 0 1 1 1
145. Signed and Unsigned numbersET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
Example 11 Example 12
1 0 0 0
0 1 0 1
0 1 1 1
+ 0 0 1 1
1
1 0 0 0
0 0 1 1
0 1 1 1
1 1 0 1
+ 0 1 1 1
1
146. Signed and Unsigned numbersET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
Example 11 Example 12
1 0 0 0
0 1 0 1
0 1 1 1
+ 0 0 1 1
1 1
1 0 0 0
0 0 1 1
0 1 1 1
1 1 0 1
+ 0 1 1 1
11
147. Signed and Unsigned numbersET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
Example 11 Example 12
1 0 0 0
0 1 0 1
0 1 1 1
+ 0 0 1 1
1 1 1
1 0 0 0
0 0 1 1
0 1 1 1
1 1 0 1
+ 0 1 1 1
111
148. Signed and Unsigned numbersET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
Example 11 Example 12
1 0 0 0
0 1 0 1
0 1 1 1
+ 0 0 1 1
1 0 1 1 1
1 0 0 0
0 0 1 1
0 1 1 1
1 1 0 1
+ 0 1 1 1
111
149. Signed and Unsigned numbersET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
Example 11 Example 12
1 0 0 0
0 1 0 1
0 1 1 1
+ 0 0 1 1
1 0 1 1 1
1 0 0 0
0 0 1 1
0 1 1 1
1 1 0 1
+ 0 1 1 1
111
150. Signed and Unsigned numbersET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
Example 11 Example 12
1 0 0 0
0 1 0 1
0 1 1 1
+ 0 0 1 1
1 0 1 1 1
1 0 0 0
0 0 1 1
0 1 1 1
1 1 0 1
+ 0 1 1 1
111
151. Signed and Unsigned numbersET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
Example 11 Example 12
1 0 0 0
0 1 0 1
0 1 1 1
+ 0 0 1 1
1 0 1 1 1
1 0 0 0
+ 0 0 1 1
0 1 1 1
1 1 0 1
+ 0 1 1 1
111
152. Signed and Unsigned numbersET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
Example 11 Example 12
1 0 0 0
0 1 0 1
0 1 1 1
+ 0 0 1 1
1 0 1 1 1
1 0 0 0
+ 0 0 1 1
1 0 1 1
0 1 1 1
1 1 0 1
+ 0 1 1 1
111
153. Signed and Unsigned numbersET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
Example 11 Example 12
1 0 0 0
0 1 0 1
0 1 1 1
+ 0 0 1 1
1 0 1 1 1
1 0 0 0
0 0 1 1
1 0 1 1
+ 0 1 1 1
1 1 0 1
+ 0 1 1 1
111
154. Signed and Unsigned numbersET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
Example 11 Example 12
1 0 0 0
0 1 0 1
0 1 1 1
+ 0 0 1 1
1 0 1 1 1
1 0 0 0
0 0 1 1
1 0 1 1
+ 0 1 1 1
0
1 1 0 1
+ 0 1 1 1
111
1
155. Signed and Unsigned numbersET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
Example 11 Example 12
1 0 0 0
0 1 0 1
0 1 1 1
+ 0 0 1 1
1 0 1 1 1
1 0 0 0
0 0 1 1
1 0 1 1
+ 0 1 1 1
1 0
1 1 0 1
+ 0 1 1 1
111
1 1
156. Signed and Unsigned numbersET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
Example 11 Example 12
1 0 0 0
0 1 0 1
0 1 1 1
+ 0 0 1 1
1 0 1 1 1
1 0 0 0
0 0 1 1
1 0 1 1
+ 0 1 1 1
0 1 0
1 1 0 1
+ 0 1 1 1
111
1 1 1
157. Signed and Unsigned numbersET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
Example 11 Example 12
1 0 0 0
0 1 0 1
0 1 1 1
+ 0 0 1 1
1 0 1 1 1
1 0 0 0
0 0 1 1
1 0 1 1
+ 0 1 1 1
1 0 0 1 0
1 1 0 1
+ 0 1 1 1
111
1 1 1
158. Signed and Unsigned numbersET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
Example 11 Example 12
1 0 0 0
0 1 0 1
0 1 1 1
+ 0 0 1 1
1 0 1 1 1
1 0 0 0
0 0 1 1
1 0 1 1
0 1 1 1
1 0 0 1 0
+ 1 1 0 1
+ 0 1 1 1
111
1 1 1
159. Signed and Unsigned numbersET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
Example 11 Example 12
1 0 0 0
0 1 0 1
0 1 1 1
+ 0 0 1 1
1 0 1 1 1
1 0 0 0
0 0 1 1
1 0 1 1
0 1 1 1
1 0 0 1 0
+ 1 1 0 1
1 1 1 1 1
+ 0 1 1 1
111
1 1 1
160. Signed and Unsigned numbersET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
Example 11 Example 12
1 0 0 0
0 1 0 1
0 1 1 1
+ 0 0 1 1
1 0 1 1 1
1 0 0 0
0 0 1 1
1 0 1 1
0 1 1 1
1 0 0 1 0
1 1 0 1
1 1 1 1 1
+ 0 1 1 1
111
1 1 1
161. Signed and Unsigned numbersET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
Example 11 Example 12
1 0 0 0
0 1 0 1
0 1 1 1
+ 0 0 1 1
1 0 1 1 1
1 0 0 0
0 0 1 1
1 0 1 1
0 1 1 1
1 0 0 1 0
1 1 0 1
1 1 1 1 1
+ 0 1 1 1
0
111
1 1 1
1
162. Signed and Unsigned numbersET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
Example 11 Example 12
1 0 0 0
0 1 0 1
0 1 1 1
+ 0 0 1 1
1 0 1 1 1
1 0 0 0
0 0 1 1
1 0 1 1
0 1 1 1
1 0 0 1 0
1 1 0 1
1 1 1 1 1
+ 0 1 1 1
1 0
111
1 1 1
11
163. Signed and Unsigned numbersET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
Example 11 Example 12
1 0 0 0
0 1 0 1
0 1 1 1
+ 0 0 1 1
1 0 1 1 1
1 0 0 0
0 0 1 1
1 0 1 1
0 1 1 1
1 0 0 1 0
1 1 0 1
1 1 1 1 1
+ 0 1 1 1
1 1 0
111
1 1 1
111
164. Signed and Unsigned numbersET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
Example 11 Example 12
1 0 0 0
0 1 0 1
0 1 1 1
+ 0 0 1 1
1 0 1 1 1
1 0 0 0
0 0 1 1
1 0 1 1
0 1 1 1
1 0 0 1 0
1 1 0 1
1 1 1 1 1
+ 0 1 1 1
0 1 1 0
111
1 1 1
1111
165. Signed and Unsigned numbersET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
Example 11 Example 12
1 0 0 0
0 1 0 1
0 1 1 1
+ 0 0 1 1
1 0 1 1 1
1 0 0 0
0 0 1 1
1 0 1 1
0 1 1 1
1 0 0 1 0
1 1 0 1
1 1 1 1 1
+ 0 1 1 1
1 0 0 1 1 0
111
1 1 1
1111
166. Signed and Unsigned numbersET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
Method 2 Example 12
1 0 0 0
0 1 0 1
0 1 1 1
+ 0 0 1 1
1 0 1 1 1
1 0 0 0
0 0 1 1
0 1 1 1
1 1 0 1
+ 0 1 1 1
111
167. Signed and Unsigned numbersET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
Method 2 Example 12
1 0 0 0
0 1 0 1
0 1 1 1
+ 0 0 1 1
1 0 1 1 1
1 0 0 0
0 0 1 1
0 1 1 1
1 1 0 1
+ 0 1 1 1
4
111
168. Signed and Unsigned numbersET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
Method 2 Example 12
1 0 0 0
0 1 0 1
0 1 1 1
+ 0 0 1 1
1 0 1 1 1
1 0 0 0
0 0 1 1
0 1 1 1
1 1 0 1
+ 0 1 1 1
1 0 0
111
169. Signed and Unsigned numbersET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
Method 2 Example 12
1 0 0 0
0 1 0 1
0 1 1 1
+ 0 0 1 1
1 0 1 1 1
1 0 0 0
0 0 1 1
0 1 1 1
1 1 0 1
+ 0 1 1 1
0
111
01
170. Signed and Unsigned numbersET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
Method 2 Example 12
1 0 0 0
0 1 0 1
0 1 1 1
+ 0 0 1 1
1 0 1 1 1
1 0 0 0
0 0 1 1
0 1 1 1
1 1 0 1
+ 0 1 1 1
3 0
111
01
171. Signed and Unsigned numbersET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
Method 2 Example 12
1 0 0 0
0 1 0 1
0 1 1 1
+ 0 0 1 1
1 0 1 1 1
1 0 0 0
0 0 1 1
0 1 1 1
1 1 0 1
+ 0 1 1 1
1 1 0
111
01
172. Signed and Unsigned numbersET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
Method 2 Example 12
1 0 0 0
0 1 0 1
0 1 1 1
+ 0 0 1 1
1 0 1 1 1
1 0 0 0
0 0 1 1
0 1 1 1
1 1 0 1
+ 0 1 1 1
1 0
111
01
1
173. Signed and Unsigned numbersET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
Method 2 Example 12
1 0 0 0
0 1 0 1
0 1 1 1
+ 0 0 1 1
1 0 1 1 1
1 0 0 0
0 0 1 1
0 1 1 1
1 1 0 1
+ 0 1 1 1
5 1 0
111
01
1
174. Signed and Unsigned numbersET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
Method 2 Example 12
1 0 0 0
0 1 0 1
0 1 1 1
+ 0 0 1 1
1 0 1 1 1
1 0 0 0
0 0 1 1
0 1 1 1
1 1 0 1
+ 0 1 1 1
1 0 1 1 0
111
01
1
175. Signed and Unsigned numbersET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
Method 2 Example 12
1 0 0 0
0 1 0 1
0 1 1 1
+ 0 0 1 1
1 0 1 1 1
1 0 0 0
0 0 1 1
0 1 1 1
1 1 0 1
+ 0 1 1 1
1 1 0
111
01
1
01
176. Signed and Unsigned numbersET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
Method 2 Example 12
1 0 0 0
0 1 0 1
0 1 1 1
+ 0 0 1 1
1 0 1 1 1
1 0 0 0
0 0 1 1
0 1 1 1
1 1 0 1
+ 0 1 1 1
2 1 1 0
111
01
1
01
177. Signed and Unsigned numbersET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
Method 2 Example 12
1 0 0 0
0 1 0 1
0 1 1 1
+ 0 0 1 1
1 0 1 1 1
1 0 0 0
0 0 1 1
0 1 1 1
1 1 0 1
+ 0 1 1 1
1 0 1 1 0
111
01
1
01
178. Signed and Unsigned numbersET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
Method 2 Example 12
1 0 0 0
0 1 0 1
0 1 1 1
+ 0 0 1 1
1 0 1 1 1
1 0 0 0
0 0 1 1
0 1 1 1
1 1 0 1
+ 0 1 1 1
0 1 1 0
111
01
1
01
1
179. Signed and Unsigned numbersET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
Method 2 Example 12
1 0 0 0
0 1 0 1
0 1 1 1
+ 0 0 1 1
1 0 1 1 1
1 0 0 0
0 0 1 1
0 1 1 1
1 1 0 1
+ 0 1 1 1
2 0 1 1 0
111
01
1
01
1
180. Signed and Unsigned numbersET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
Method 2 Example 12
1 0 0 0
0 1 0 1
0 1 1 1
+ 0 0 1 1
1 0 1 1 1
1 0 0 0
0 0 1 1
0 1 1 1
1 1 0 1
+ 0 1 1 1
0 0 1 1 0
111
01
1
01
1
0
1
1
1
1
181. Signed and Unsigned numbers
Mathematical Operations
Multiplication in binary is identical to in decimal
ET 255ET 255 Number Systems and operations
182. Signed and Unsigned numbers
Mathematical Operations
Multiplication in binary is identical to in decimal
ET 255ET 255 Number Systems and operations
183. Signed and Unsigned numbers
Mathematical Operations
Multiplication in binary is identical to in decimal
ET 255ET 255 Number Systems and operations
184. Signed and Unsigned numbers
Mathematical Operations
Multiplication in binary is identical to in decimal
ET 255ET 255 Number Systems and operations
185. Signed and Unsigned numbers
Mathematical Operations
Multiplication in binary is identical to in decimal
ET 255ET 255 Number Systems and operations
186. Signed and Unsigned numbers
Mathematical Operations
Multiplication in binary is identical to in decimal
ET 255ET 255 Number Systems and operations
187. INDEPENDENT ANALYSIS
Independent Analysis
You now have 11 min to try and solve this mystery!
Use the time to become familiarized with the task,
note your observations, and dispute your own claims.
595857565554535251504948474645444342414039383736353433323130292827262524232221201918171615141312111009080706050403020100
188. Signed and Unsigned numbers
Mathematical Operations
Let’s try some multiplication
ET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
1 0 0
x 1 1 1
189. Signed and Unsigned numbers
Mathematical Operations
Let’s try some multiplication
ET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
1 0 0 4
x 1 1 1
190. Signed and Unsigned numbers
Mathematical Operations
Let’s try some multiplication
ET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
1 0 0 4
x 1 1 1 7
191. Signed and Unsigned numbers
Mathematical Operations
Let’s try some multiplication
ET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
1 0 0 4
x 1 1 1 x 7
192. Signed and Unsigned numbers
Mathematical Operations
Let’s try some multiplication
ET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
1 0 0 4
x 1 1 1 x 7
193. Signed and Unsigned numbers
Mathematical Operations
Let’s try some multiplication
ET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
1 0 0 4
x 1 1 1 x 7
1 0 0
194. Signed and Unsigned numbers
Mathematical Operations
Let’s try some multiplication
ET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
1 0 0 4
x 1 1 1 x 7
1 0 0
195. Signed and Unsigned numbers
Mathematical Operations
Let’s try some multiplication
ET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
1 0 0 4
x 1 1 1 x 7
1 0 0
196. Signed and Unsigned numbers
Mathematical Operations
Let’s try some multiplication
ET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
1 0 0 4
x 1 1 1 x 7
1 0 0
197. Signed and Unsigned numbers
Mathematical Operations
Let’s try some multiplication
ET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
1 0 0 4
x 1 1 1 x 7
1 0 0
1 0 0
198. Signed and Unsigned numbers
Mathematical Operations
Let’s try some multiplication
ET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
1 0 0 4
x 1 1 1 x 7
1 0 0
1 0 0
199. Signed and Unsigned numbers
Mathematical Operations
Let’s try some multiplication
ET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
1 0 0 4
x 1 1 1 x 7
1 0 0
1 0 0
200. Signed and Unsigned numbers
Mathematical Operations
Let’s try some multiplication
ET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
1 0 0 4
x 1 1 1 x 7
1 0 0
1 0 0
201. Signed and Unsigned numbers
Mathematical Operations
Let’s try some multiplication
ET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
1 0 0 4
x 1 1 1 x 7
1 0 0
1 0 0
o 1 0 0
202. Signed and Unsigned numbers
Mathematical Operations
Let’s try some multiplication
ET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
1 0 0 4
x 1 1 1 x 7
1 0 0
1 0 0
o 1 0 0
203. Signed and Unsigned numbers
Mathematical Operations
Let’s try some multiplication
ET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
1 0 0 4
x 1 1 1 x 7
1 0 0
1 0 0
o 1 0 0
204. Signed and Unsigned numbers
Mathematical Operations
Let’s try some multiplication
ET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
1 0 0 4
x 1 1 1 x 7
1 0 0
1 0 0
+o 1 0 0
205. Signed and Unsigned numbers
Mathematical Operations
Let’s try some multiplication
ET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
1 0 0 4
x 1 1 1 x 7
1 0 0
1 0 0
+o 1 0 0
1 1 1 0 0
206. Signed and Unsigned numbers
Mathematical Operations
Let’s try some multiplication
ET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
1 0 0 4
x 1 1 1 x 7
1 0 0
1 0 0
+o 1 0 0
1 1 1 0 0
207. Signed and Unsigned numbers
Mathematical Operations
Let’s try some multiplication
ET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
1 0 0 4
x 1 1 1 x 7
1 0 0
1 0 0
+o 1 0 0
1 1 1 0 0
208. Signed and Unsigned numbers
Mathematical Operations
Let’s try some multiplication
ET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
1 0 0 4
x 1 1 1 x 7
1 0 0 2 8
1 0 0
+o 1 0 0
1 1 1 0 0
209. Signed and Unsigned numbers
Mathematical Operations
Let’s try some multiplication
ET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
1 0 0 4
x 1 1 1 x 7
1 0 0 2 8
1 0 0
+o 1 0 0
1 1 1 0 0
210. Signed and Unsigned numbers
Mathematical Operations
Let’s try some multiplication
ET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
1 0 0 4
x 1 1 1 x 7
1 0 0 2 8
1 0 0
+o 1 0 0
1 1 1 0 0
211. Signed and Unsigned numbers
Mathematical Operations
Let’s try some multiplication
ET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
1 0 0 4
x 1 1 1 x 7
1 0 0 2 8
1 0 0
+o 1 0 0
1 1 1 0 0
212. Signed and Unsigned numbers
Mathematical Operations
Division in binary is also the same as in decimal
ET 255ET 255 Number Systems and operations
213. Signed and Unsigned numbers
Mathematical Operations
Division in binary is also the same as in decimal
ET 255ET 255 Number Systems and operations
214. Signed and Unsigned numbers
Mathematical Operations
Division in binary is also the same as in decimal
ET 255ET 255 Number Systems and operations
215. Signed and Unsigned numbers
Mathematical Operations
Division in binary is also the same as in decimal
ET 255ET 255 Number Systems and operations
216. Signed and Unsigned numbers
Mathematical Operations
Division in binary is also the same as in decimal
ET 255ET 255 Number Systems and operations
217. Signed and Unsigned numbers
Mathematical Operations
Division in binary is also the same as in decimal
ET 255ET 255 Number Systems and operations
218. Signed and Unsigned numbers
Mathematical Operations
Division in binary is also the same as in decimal
ET 255ET 255 Number Systems and operations
219. INDEPENDENT ANALYSIS
Independent Analysis
You now have 11 min to try and solve this mystery!
Use the time to become familiarized with the task,
note your observations, and dispute your own claims.
595857565554535251504948474645444342414039383736353433323130292827262524232221201918171615141312111009080706050403020100
220. Signed and Unsigned numbers
Mathematical Operations
Let’s try some division
ET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
1 0 1 0 1 1 0
221. Signed and Unsigned numbers
Mathematical Operations
Let’s try some division
ET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
1 0 1 0 1 1 0 2
222. Signed and Unsigned numbers
Mathematical Operations
Let’s try some division
ET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
1 0 1 0 1 1 0 2 2 2
223. Signed and Unsigned numbers
Mathematical Operations
Let’s try some division
ET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
1 0 1 0 1 1 0 2 2 2
224. Signed and Unsigned numbers
Mathematical Operations
Let’s try some division
ET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
1 0 1 0 1 1 0 2 2 2
225. Signed and Unsigned numbers
Mathematical Operations
Let’s try some division
ET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
0
1 0 1 0 1 1 0 2 2 2
226. Signed and Unsigned numbers
Mathematical Operations
Let’s try some division
ET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
0
1 0 1 0 1 1 0 2 2 2
227. Signed and Unsigned numbers
Mathematical Operations
Let’s try some division
ET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
0 1
1 0 1 0 1 1 0 2 2 2
228. Signed and Unsigned numbers
Mathematical Operations
Let’s try some division
ET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
0 1
1 0 1 0 1 1 0 2 2 2
- 1 0
229. Signed and Unsigned numbers
Mathematical Operations
Let’s try some division
ET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
0 1
1 0 1 0 1 1 0 2 2 2
- 1 0
0
230. Signed and Unsigned numbers
Mathematical Operations
Let’s try some division
ET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
0 1
1 0 1 0 1 1 0 2 2 2
- 1 0
0 1
231. Signed and Unsigned numbers
Mathematical Operations
Let’s try some division
ET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
0 1 0
1 0 1 0 1 1 0 2 2 2
- 1 0
0 1
232. Signed and Unsigned numbers
Mathematical Operations
Let’s try some division
ET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
0 1 0
1 0 1 0 1 1 0 2 2 2
- 1 0
0 1 1
233. Signed and Unsigned numbers
Mathematical Operations
Let’s try some division
ET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
0 1 0 1
1 0 1 0 1 1 0 2 2 2
- 1 0
0 1 1
234. Signed and Unsigned numbers
Mathematical Operations
Let’s try some division
ET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
0 1 0 1
1 0 1 0 1 1 0 2 2 2
- 1 0
0 1 1
- 1 0
235. Signed and Unsigned numbers
Mathematical Operations
Let’s try some division
ET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
0 1 0 1
1 0 1 0 1 1 0 2 2 2
- 1 0
0 1 1
- 1 0
1
236. Signed and Unsigned numbers
Mathematical Operations
Let’s try some division
ET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
0 1 0 1
1 0 1 0 1 1 0 2 2 2
- 1 0
0 1 1
- 1 0
1
237. Signed and Unsigned numbers
Mathematical Operations
Let’s try some division
ET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
0 1 0 1
1 0 1 0 1 1 0 2 2 2
- 1 0
0 1 1
- 1 0
1 0
238. Signed and Unsigned numbers
Mathematical Operations
Let’s try some division
ET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
0 1 0 1
1 0 1 0 1 1 0 2 2 2
- 1 0
0 1 1
- 1 0
1 0
239. Signed and Unsigned numbers
Mathematical Operations
Let’s try some division
ET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
0 1 0 1 1
1 0 1 0 1 1 0 2 2 2
- 1 0
0 1 1
- 1 0
1 0
240. Signed and Unsigned numbers
Mathematical Operations
Let’s try some division
ET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
0 1 0 1 1
1 0 1 0 1 1 0 2 2 2
- 1 0
0 1 1
- 1 0
1 0
- 1 0
241. Signed and Unsigned numbers
Mathematical Operations
Let’s try some division
ET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
0 1 0 1 1
1 0 1 0 1 1 0 2 2 2
- 1 0
0 1 1
- 1 0
1 0
- 1 0
0
242. Signed and Unsigned numbers
Mathematical Operations
Let’s try some division
ET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
0 1 0 1 1 1 1
1 0 1 0 1 1 0 2 2 2
- 1 0
0 1 1
- 1 0
1 0
- 1 0
0
243. INDEPENDENT ANALYSIS
Independent Analysis
You now have 11 min to try and solve this mystery!
Use the time to become familiarized with the task,
note your observations, and dispute your own claims.
595857565554535251504948474645444342414039383736353433323130292827262524232221201918171615141312111009080706050403020100
244. Signed and Unsigned numbersET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
1 1
x 1 1
Example 9 Example 10
1 0 0
x 1 0
245. Signed and Unsigned numbersET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
1 1
x 1 1
Example 9 Example 10
1 0 0
x 1 0
246. Signed and Unsigned numbersET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
1 1
x 1 1
1
Example 9 Example 10
1 0 0
x 1 0
247. Signed and Unsigned numbersET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
1 1
x 1 1
1 1
Example 9 Example 10
1 0 0
x 1 0
248. Signed and Unsigned numbersET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
1 1
x 1 1
1 1
Example 9 Example 10
1 0 0
x 1 0
249. Signed and Unsigned numbersET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
1 1
x 1 1
1 1
1
Example 9 Example 10
1 0 0
x 1 0
250. Signed and Unsigned numbersET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
1 1
x 1 1
1 1
1 1
Example 9 Example 10
1 0 0
x 1 0
251. Signed and Unsigned numbersET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
1 1
x 1 1
1 1
1 1
Example 9 Example 10
1 0 0
x 1 0
+
252. Signed and Unsigned numbersET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
1 1
x 1 1
1 1
1 1
0 0 1
Example 9 Example 10
1 0 0
x 1 0
+
253. Signed and Unsigned numbersET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
1 1
x 1 1
1 1
1 1
0 1
Example 9 Example 10
1 0 0
x 1 0
+
1
254. Signed and Unsigned numbersET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
1 1
x 1 1
1 1
1 1
0 0 1
Example 9 Example 10
1 0 0
x 1 0
+
1
1
255. Signed and Unsigned numbersET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
1 1
x 1 1
1 1
1 1
0 0 1
Example 9 Example 10
1 0 0
x 1 0
+
1
1
256. Signed and Unsigned numbersET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
1 1
x 1 1
1 1
1 1
0 0 1
Example 9 Example 10
1 0 0
x 1 0
0
+
1
1
257. Signed and Unsigned numbersET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
1 1
x 1 1
1 1
1 1
0 0 1
Example 9 Example 10
1 0 0
x 1 0
0
+
1
1
258. Signed and Unsigned numbersET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
1 1
x 1 1
1 1
1 1
0 0 1
Example 9 Example 10
1 0 0
x 1 0
0
0+
1
1
259. Signed and Unsigned numbersET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
1 1
x 1 1
1 1
1 1
0 0 1
Example 9 Example 10
1 0 0
x 1 0
0
0 0+
1
1
260. Signed and Unsigned numbersET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
1 1
x 1 1
1 1
1 1
0 0 1
Example 9 Example 10
1 0 0
x 1 0
0
1 0 0+
1
1
261. Signed and Unsigned numbersET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
1 1
x 1 1
1 1
1 1
0 0 1
Example 9 Example 10
1 0 0
x 1 0
0
1 0 0+
1
+
1
262. Signed and Unsigned numbersET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
1 1
x 1 1
1 1
1 1
0 0 1
Example 9 Example 10
1 0 0
x 1 0
0
1 0 0
0
+
1
+
1
263. Signed and Unsigned numbersET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
1 1
x 1 1
1 1
1 1
0 0 1
Example 9 Example 10
1 0 0
x 1 0
0
1 0 0
0 0
+
1
+
1
264. Signed and Unsigned numbersET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
1 1
x 1 1
1 1
1 1
0 0 1
Example 9 Example 10
1 0 0
x 1 0
0
1 0 0
0 0 0
+
1
+
1
265. Signed and Unsigned numbersET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
1 1
x 1 1
1 1
1 1
0 0 1
Example 9 Example 10
1 0 0
x 1 0
0
1 0 0
1 0 0 0
+
1
+
1
266. Signed and Unsigned numbersET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
1 1
x 1 1
1 1
1 1
0 0 1
Example 9 Example 10
1 0 0
x 1 0
0
1 0 0
1 0 0 0
+
1
+
3 x 3 = 9 2 x 4 = 8
1
267. Signed and Unsigned numbersET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
Example 11 Example 12
1 1 0 1
x 1 1 1
1 1 1
x 1 1
268. Signed and Unsigned numbersET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
Example 11 Example 12
1 1 0 1
x 1 1 1
1 1 1
x 1 1
269. Signed and Unsigned numbersET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
Example 11 Example 12
1 1 0 1
x 1 1 1
1 1 1
x 1 1
1
270. Signed and Unsigned numbersET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
Example 11 Example 12
1 1 0 1
x 1 1 1
1 1 1
x 1 1
1 1
271. Signed and Unsigned numbersET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
Example 11 Example 12
1 1 0 1
x 1 1 1
1 1 1
x 1 1
1 1 1
272. Signed and Unsigned numbersET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
Example 11 Example 12
1 1 0 1
x 1 1 1
1 1 1
x 1 1
1 1 1
273. Signed and Unsigned numbersET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
Example 11 Example 12
1 1 0 1
x 1 1 1
1 1 1
x 1 1
1 1 1
1
274. Signed and Unsigned numbersET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
Example 11 Example 12
1 1 0 1
x 1 1 1
1 1 1
x 1 1
1 1 1
1 1
275. Signed and Unsigned numbersET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
Example 11 Example 12
1 1 0 1
x 1 1 1
1 1 1
x 1 1
1 1 1
1 1 1
276. Signed and Unsigned numbersET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
Example 11 Example 12
1 1 0 1
x 1 1 1
1 1 1
x 1 1
1 1 1
1 1 1+
277. Signed and Unsigned numbersET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
Example 11 Example 12
1 1 0 1
x 1 1 1
1 1 1
x 1 1
1 1 1
1 1 1
1
+
278. Signed and Unsigned numbersET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
Example 11 Example 12
1 1 0 1
x 1 1 1
1 1 1
x 1 1
1 1 1
1 1 1
0 1
+
1
279. Signed and Unsigned numbersET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
Example 11 Example 12
1 1 0 1
x 1 1 1
1 1 1
x 1 1
1 1 1
1 1 1
1 0 1
+
1
1
280. Signed and Unsigned numbersET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
Example 11 Example 12
1 1 0 1
x 1 1 1
1 1 1
x 1 1
1 1 1
1 1 1
0 1 0 1
+
1
1
1
281. Signed and Unsigned numbersET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
Example 11 Example 12
1 1 0 1
x 1 1 1
1 1 1
x 1 1
1 1 1
1 1 1
0 1 0 1
+
1
1
1
282. Signed and Unsigned numbersET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
Example 11 Example 12
1 1 0 1
x 1 1 1
1
1 1 1
x 1 1
1 1 1
1 1 1
0 1 0 1
+
1
1
1
283. Signed and Unsigned numbersET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
Example 11 Example 12
1 1 0 1
x 1 1 1
0 1
1 1 1
x 1 1
1 1 1
1 1 1
0 1 0 1
+
1
1
1
284. Signed and Unsigned numbersET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
Example 11 Example 12
1 1 0 1
x 1 1 1
1 0 1
1 1 1
x 1 1
1 1 1
1 1 1
0 1 0 1
+
1
1
1
285. Signed and Unsigned numbersET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
Example 11 Example 12
1 1 0 1
x 1 1 1
1 1 0 1
1 1 1
x 1 1
1 1 1
1 1 1
0 1 0 1
+
1
1
1
286. Signed and Unsigned numbersET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
Example 11 Example 12
1 1 0 1
x 1 1 1
1 1 0 1
1 1 1
x 1 1
1 1 1
1 1 1
0 1 0 1
+
1
1
1
287. Signed and Unsigned numbersET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
Example 11 Example 12
1 1 0 1
x 1 1 1
1 1 0 1
1
1 1 1
x 1 1
1 1 1
1 1 1
0 1 0 1
+
1
1
1
288. Signed and Unsigned numbersET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
Example 11 Example 12
1 1 0 1
x 1 1 1
1 1 0 1
0 1
1 1 1
x 1 1
1 1 1
1 1 1
0 1 0 1
+
1
1
1