Binary numbers
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Binary numbers are made up of only two digits, 0 and 1, and form the basis of computer processing. Computers use the binary number system because their internal workings are based on two states: on or off. The binary number system has a base of 2, with place values increasing by multiples of 2, unlike the standard base 10 system which increases by multiples of 10. Converting between binary and standard numbering systems allows communication between humans and computers. Students practiced converting numbers between the two systems and learned binary is essential for computer functions.
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Binary numbers are a number system consisting of only two digits, 0 and 1. They form the basis of computer processing because computers use binary to represent information in a digital format as either on or off. The document teaches students about binary numbers, their relationship to computing, and how to convert between binary and standard base 10 numbering. Students learn through interactive activities and practice converting numbers between the two systems themselves.
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CS 1150 – Lab #2 – Exploring Number Systems
TAs – Soumya Chiday, [email protected]
Sri Ram Srujan Yidala, [email protected]
1
TA Labs, Office Hours Laboratory Polices
Lab Hours
CS 1150 L 05 T 11:00 am – 12:50 pm – 320 Oelman
CS 1150 L 06 R 11:00 am – 12:50 pm – 320 Oelman
TA Office Hours
1:00 PM – 2:00 PM, Tuesday/Thursday at Room 316 - Russ Engineer Center
By appointment – Please email to [email protected] or [email protected]
Refer to CS 1150 Course Syllabus for Class and Laboratory Policies
Zero tolerance policy for Academic Misconduct – All parties will get 0% marks
CS 1150 - Lab 2 - Exploring Number Systems
2
Lab # 2 Overview
Experiment with Number Systems
Different Number Systems
Decimal/Binary/Octal/Hexadecimal
Conversions
Binary Arithmetic
Lab #2 Due Date - September 21, 2018 11:55 PM
CS 1150 - Lab 2 - Exploring Number Systems
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How to Submit Lab # 2
Soft copy
Go to Pilot Course Page and Use the Dropbox Submission Link to upload your files
CS 1150 - Lab 2 - Exploring Number Systems
4
Number Systems
Four number system
Decimal (10)
Binary (2)
Octal (8)
Hexadecimal (16)
CS 1150 - Lab 2 - Exploring Number Systems
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Decimal System
A decimal number is a sequence of digits
Decimal digits must be in the set: {0, 1, 2, 3, 4, 5, 6, 7, 8, 9} (Base 10)
Position weights are powers of 10
The weight of the rightmost (least significant digit) is 100 (i.e.1)
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Decimal Numbers
1439 = 1 x 103 + 4 x 102 + 3 x 101 + 9 x 100
Thousands Hundreds Tens Ones
Radix = 10
CS 1150 - Lab 2 - Exploring Number Systems
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Binary System
So in a computer, the only possible digits we can use to encode data are {0,1}
The numbering system that uses this set of digits is the base 2 system (also called the Binary Numbering System)
We can apply all the principles of the base 10 system to the base 2 system
Position weights are powers of 2
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Binary Decimal
1101 = 1 x 23 + 1 x 22 + 0 x 21 + 1 x 20
= 1 x 8 + 1 x 4 + 0 x 2 + 1 x 1
= 8 + 4 + 0 + 1
(1101)2 = (13)10
1, 2, 4, 8, 16, 32, 64, 128, 256, 512, ….
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Octal Decimal
137 = 1 x 82 + 3 x 81 + 7 x 80
= 1 x 64 + 3 x 8 + 7 x 1
= 64 + 24 + 7
(137)8 = (95)10
Digits used in Octal number system – 0 to 7
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CS 1150 - Lab 2 - Exploring Number Systems
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Hex Decimal
BAD = 11 x 162 + 10 x 161 + 13 x 160
= 11 x 256 + 10 x 16 + 13 x 1
= 2816 + 160 + 13
(BAD)16 = (2989)10
A = 10, B = 11, C = 12, D = 13, E = 14, F = 15
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CS 1150 - Lab 2 - Exploring Number Systems
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Conversions from Binary to Oct and Hex
Three bits make one octal digit
.
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What began over 115 years ago as a supplier of precision gauges to the automotive industry has evolved into being an industry leader in the manufacture of product branding, automotive cockpit trim and decorative appliance trim. Value-added services include in-house Design, Engineering, Program Management, Test Lab and Tool Shops.
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This presentation, titled "MySQL - InnoDB" and delivered by Mayank Prasad at the Mydbops Open Source Database Meetup 16 on June 8th, 2024, covers dynamic configuration of REDO logs and instant ADD/DROP columns in InnoDB.
This presentation dives deep into the world of InnoDB, exploring two ground-breaking features introduced in MySQL 8.0:
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• Instant ADD/DROP Columns: Say goodbye to costly table rebuilds! This presentation unveils how InnoDB now enables seamless addition and removal of columns without compromising data integrity or incurring downtime.
Key Learnings:
• Grasp the concept of REDO logs and their significance in InnoDB's transaction management.
• Discover the advantages of dynamic REDO log configuration and how to leverage it for optimal performance.
• Understand the inner workings of instant ADD/DROP columns and their impact on database operations.
• Gain valuable insights into the row versioning mechanism that empowers instant column modifications.
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👉 Check out our full 'Africa Series - Automation Student Developers (EN)' page to register for the full program:
https://bit.ly/Automation_Student_Kickstart
In this session, we shall introduce you to the world of automation, the UiPath Platform, and guide you on how to install and setup UiPath Studio on your Windows PC.
📕 Detailed agenda:
What is RPA? Benefits of RPA?
RPA Applications
The UiPath End-to-End Automation Platform
UiPath Studio CE Installation and Setup
💻 Extra training through UiPath Academy:
Introduction to Automation
UiPath Business Automation Platform
Explore automation development with UiPath Studio
👉 Register here for our upcoming Session 2 on June 20: Introduction to UiPath Studio Fundamentals: https://community.uipath.com/events/details/uipath-lagos-presents-session-2-introduction-to-uipath-studio-fundamentals/
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QR Secure: A Hybrid Approach Using Machine Learning and Security Validation Functions to Prevent Interaction with Malicious QR Codes.
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Machine Learning Model: Predicts the likelihood of a URL being malicious.
Security Validation Functions: Ensures the derived URL has a valid certificate and proper URL format.
This innovative blend of technology aims to enhance cybersecurity measures and protect users from potential threats hidden within QR codes 🖥 🔒
This study was my first introduction to using ML which has shown me the immense potential of ML in creating more secure digital environments!
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Direct losses from downtime in 1 minute = $5-$10 thousand dollars. Reputation is priceless.
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HERE IS YOUR WEBINAR CONTENT! 'Mastering Customer Journey Management with Dr. Graham Hill'. We hope you find the webinar recording both insightful and enjoyable.
In this webinar, we explored essential aspects of Customer Journey Management and personalization. Here’s a summary of the key insights and topics discussed:
Key Takeaways:
Understanding the Customer Journey: Dr. Hill emphasized the importance of mapping and understanding the complete customer journey to identify touchpoints and opportunities for improvement.
Personalization Strategies: We discussed how to leverage data and insights to create personalized experiences that resonate with customers.
Technology Integration: Insights were shared on how inQuba’s advanced technology can streamline customer interactions and drive operational efficiency.
Lee Barnes - Path to Becoming an Effective Test Automation Engineer.pdf
So… you want to become a Test Automation Engineer (or hire and develop one)? While there’s quite a bit of information available about important technical and tool skills to master, there’s not enough discussion around the path to becoming an effective Test Automation Engineer that knows how to add VALUE. In my experience this had led to a proliferation of engineers who are proficient with tools and building frameworks but have skill and knowledge gaps, especially in software testing, that reduce the value they deliver with test automation.
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How information systems are built or acquired puts information, which is what they should be about, in a secondary place. Our language adapted accordingly, and we no longer talk about information systems but applications. Applications evolved in a way to break data into diverse fragments, tightly coupled with applications and expensive to integrate. The result is technical debt, which is re-paid by taking even bigger "loans", resulting in an ever-increasing technical debt. Software engineering and procurement practices work in sync with market forces to maintain this trend. This talk demonstrates how natural this situation is. The question is: can something be done to reverse the trend?
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Binary numbers
- 1. Binary Numbers MS. LAUREN GAUTIERI
- 2. OBJECTIVE: SWBAT understand the purpose of binary numbers. SWBAT understand the relationship between binary numbers and computing. SWBAT convert numbers from the standard number system to the binary number system. Audience Middle School Grades 6-8 Teaching Method(s) Teacher-directed interactive power point (Visual/Audio) Cooperative learning practice Individual practice Student Activities Note-taking Group work Individual practice Assessment Homework Accommodations/Modifications Power point made accessible online for students Enrichment activities
- 3. What are binary numbers? Have you ever turned on your computer and noticed a bunch of numbers run across the screen? If you looked closely you would have noticed that although it looked like a ton of numbers, there were only actually two different digits present. These two digits are known as binary numbers. Binary is a special number system that consists of only two numbers. Those numbers are 0 and 1.
- 4. Wait! What? I don’t understand… LET’S THINK ABOUT THIS… THE BINARY SYSTEM HAS TWO DIGITS 0 AND 1 THE STANDARD NUMBER SYSTEM WE KNOW HAS HOW MANY DIGITS? TEN DIGITS 0, 1, 2, 3, 4, 5, 6, 7, 8, 9 SO, NOW I KNOW THAT THE BINARY SYSTEM IS MADE UP OF 2 DIGITS WHILE THE STANDARD NUMBER SYSTEM IS MADE UP OF 10.
- 5. The number of digits in a number system is referred to as the BASE. Therefore the standard number system contains 10 digits so it is considered to be Base 10. If the binary number system contains 2 digits, then it would be considered…Base 2.
- 6. Understanding Base 10 Take a look at the video below to help you better understand what Base 10 really means… (Click below)
- 7. Refresh your memory and try it with a partner… 629 452 The 4 is in the hundreds place. Now it’s your turn… This means you have 4 x 100 or 400 The 5 is in the tens place. This means you have 5 x 10 or 50. The 2 is in the ones place. This means you have 2 x 1 or 2. Together, 400 + 50 + 2 = 452
- 8. Okay cool…I get it now. But what’s the point? BINARY NUMBERS ARE THE BASIS FOR HOW COMPUTERS WORK. COMPUTERS ARE PROGRAMMED WITH THE BINARY NUMBER SYSTEM BECAUSE COMPUTERS ARE DIGITAL AND HAVE TWO STATES. COMPUTERS ARE EITHER ON OR OFF. THE "ON" STATE IS REPRESENTED BY THE NUMBER "1", WHILE THE "OFF" STATE IS REPRESENTED BY THE NUMBER "0".
- 9. Understanding Base 2 From the video earlier we learned that Base 10 goes up by multiples of 10. Now we are going to switch gears and talk about Base 2. This means that the place value goes up by multiples of 2. 128 64 32 16 8 4 2 1 Simple so far…right?
- 10. Understanding Base 2 Now let’s apply everything we know about place value in base 10 to Base 2. (Click below to see how it works)
- 11. Watch how it works…
- 12. Let’s try some together
- 13. Now you try it with your partner… Convert 78 to base 2: Convert 100101 to base 10:
- 14. Exit Ticket IN YOUR OWN WORDS EXPLAIN TO ME THE PURPOSE OF BINARY NUMBERS. WHAT IS THE POINT OF CONVERTING NUMBERS TO THE BINARY SYSTEM? WHAT ARE BINARY NUMBERS USED FOR?
- 15. HOMEWORK CONVERT THE FOLLOWING NUMBERS FROM BASE 10 TO BASE 2 46 32 87 CONVERT THE FOLLOWING NUMBERS FROM BASE 2 TO BASE 10 110101 001101 111001
- 16. Enrichment: Challenge yourself… We learned about number systems and bases. What if I wanted to convert the number 82 (base 10) to base 5? Use what you learned today about the basic principles of place value to see if you can figure out what the number 82 would be if you were to convert it to base 5?
- 17. Information gathered from the following resources: www.swansontec.com/binary.html www.basic-mathematics.com/binary-number-system.html Video Resources: Showme.com – self created interactive whiteboard lessons http://vimeo.com/groups/132679/videos/19721329