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- Python | 5e - More Libraries | CSNewbs
Learn how to use the math library and to refresh the screen (on some editors only). Try practice tasks and learn through text and images. Perfect for students learning GCSE Computer Science in UK schools. top Python 5e - More Libraries Clear Screen Importing the os library and using the .system() command with the "clear" parameter will clear the screen . The console won't clear on offline editors like IDLE but will work with many online editors like Replit. import os print ( "Hello" ) os. system ( "clear" ) print ( "Bye" ) Bye Clear Screen Task ( Trivia Questions ) Ask three trivia questions of your choice to the user and clear the screen between each one. You should display the total they got correct after the third question - to do this you need to set a variable called correct to equal 0 at the start and then add 1 to correct each time a correct answer is given . Example solution: The Math Library The math libraries contains several commands used for numbers: sqrt to find the square root of a number. ceil to round a decimal up to the nearest whole number and floor to round down to the nearest whole number. pi to generate the value of pi (π ). The sqrt command will find the square root of a number or variable placed in the brackets and return it as a decimal number . from math import sqrt answer = sqrt(64) print (answer) 8.0 The ceil command rounds a decimal up to the nearest integer and the floor command rounds a decimal down to the nearest integer . from math import ceil, floor answer = 65 / 8 print ( "True answer:" , answer) print ( "Rounded up:" , ceil(answer)) print ( "Rounded down:" , floor(answer)) True answer: 8.125 Rounded up: 9 Rounded down: 8 The pi command generates a pi value accurate to 15 decimal places . Pi is used for many mathematical calculations involving circles . The area of a circle is pi x radius² . The first example below uses 5.6 as the radius . from math import pi radius = 5.6 area = pi * (radius * radius) print ( "The area of the circle is" , area) The area of the circle is 98.5203456165759 The example below uses an input to allow the user to enter a decimal (float ) number for the radius. It also uses the ceil command to round the area up . from math import pi, ceil radius = float(input( " Enter the radius: " )) area = pi * (radius * radius) print ( "The area of the circle is" , ceil(area)) Enter the radius: 2.3 The area is 17 Clear Screen Task ( Area of a Sph ere ) The formula of a sphere is 4 x π x r² where π represents pi and r is the radius . Use an input line to enter the radius and then calculate the area of the sphere . Round the answer down to the nearest integer using floor and print it. Example solution: Enter the radius: 7.1 The area of the sphere is 633 ⬅ 5d - Coloram a Section 5 Practice Tasks ➡
- Malware | Key Stage 3 | CSNewbs
Learn about different forms of malware including virus, worm and trojan. Learn about the different ways that malware can infect a computer system. Malware Malware is any type of harmful program that seeks to damage or gain unauthorised access to your computer system. Part 1: SiX Types of Malware Virus A virus can replicate itself and spread from system to system by attaching itself to infected files . A virus is only activated when opened by a human . Once activated, a virus can change data or corrupt a system so that it stops working . Trojan A trojan is a harmful program that looks like legitimate software so users are tricked into installing it . A trojan secretly gives the attacker backdoor access to the system . Trojans do not self replicate or infect other files. Ransomware Ransomware locks files on a computer system using encryption so that a user can no longer access them. The attacker demands money from the victim to decrypt (unlock) the data . ? ? Attackers usually use digital currencies like bitcoin which makes it hard to trace them. Spyware Spyware secretly records the activities of a user on a computer. The main aim of spyware is to record usernames, passwords and credit card information . All recorded information is secretly passed back to the attacker to use. Keylogger A keylogger secretly records the key presses of a user on a computer. Data is stored or sent back to the attacker. The main aim of a keylogger is to record usernames, passwords and credit card information . Keyloggers can be downloaded or plugged into the USB port . Worm A worm can replicate itself and spread from system to system by finding weaknesses in software . A worm does not need an infected file or human interaction to spread. A worm can spread very quickly across a network once it has infiltrated it. Part 2: Four ways malware cAN infect your system 1. A ccidentally downloading an infected file from an insecure website . 2. Phishing emails - clicking on attachments or links in spam emails . 3. Installing malware from a physical device, e.g. USB stick . 4. Self-replicating malware , such as worms , spreading across a network . Phishing & Staying Safe
- 4.7 - Sound Representation - Eduqas GCSE (2020 Spec) | CSNewbs
Learn about how sounds are represented in a computer system including how analogue sound waves are converted into binary. Also, learn about sample rate, bit depth and metadata. Based on the 2020 Eduqas (WJEC) GCSE specification. 4.7: Sound Representation Exam Board: Eduqas Specification: 2020 Converting Analog Sound to Binary To store sound on a computer analog sound waves must be converted in to digital data ( binary ). The sound is sampled using an ADC (Analog to Digital Convertor) and stored as a binary value (such as 01010011) called a sample . 0010 1011 0101 0101 Analog sound wave ADC (Analog to Digital Converter) Binary sample Sampling an Analog Sound Wave Digital sampling is discrete (separate) and not continuous like analog waves. To get the highest quality sound, many samples are taken to recreate the analog wave as closely as possible . Sample Rate The sample rate is the number of samples taken per second . It is measured in kilohertz (kHz), for example CD quality is 44.1kHz (44,100 samples per second). The higher the sample rate , the better the audio quality as the digital data more closely resembles an analog wave . However, higher sample rates result in larger file sizes because more data is stored for each individual sample. A low sample rate will result in a low-quality sound because the digital data does not closely resemble the original analog wave . A higher sample rate will result in a higher-quality sound because the digital data more closely resembles the original analog wave . Improving Audio Quality Bit Depth Bit Rate The bit rate is defined as the amount of audio data processed per second . It is measured in kilobytes per second (kbps ). The bit rate is calculated by multiplying the sample rate and bit depth . Because the bit rate is the measure of the sample rate and bit depth multiplied together, the higher the bit rate the higher the quality of the sound . The bit depth is the number of bits available to represent each sample . For example, a sample with a bit depth of 4 could be 0101 or 0111 or 1010. A sample with a bit depth of 8 could be 01010110 or 1010110 or 11001111. A common bit depth is 16 bits . The higher the bit depth , the more bits are available to be used for each sample. Therefore the quality is often higher as the wave more closely resembles an analog wave . The file size will also be larger if the bit depth is higher, as each sample stores additional bits . Example: A short audio sample has a bit depth of 4 and a sample rate of 10 samples per second . The clip is 15 seconds long . Calculate the bit rate by multiplying the sample rate and bit depth : 4 bits x 10 = 40 bits . Now that is the correct data for one second. Multiply the bit rate by the number of seconds in the file: 40 x 15 = 600 bits . To convert the answer from bits to bytes , divide by 8 . 600 bits ÷ 8 = 75 bytes . Calculating File Size Metadata for Sound Files Music libraries such as Apple Music or Spotify store a huge amount of metadata on each song. Metadata is additional data about a file such as: Artist Title / Track Title Product / Album Title Track Number Date Created / Year Genre Comments Copyright Software Type Duration File size Bit rate Sampling rate Channels Volume Q uesto's Q uestions 4.7 - Sound Representation: 1. Explain how an analog sound wave is converted into a binary sample . [ 2 ] 2a. What is a sample rate ? [1 ] 2b. Explain two ways an audio file will be affected if the sample rate is increased . [4 ] 3a. What is bit depth ? [2 ] 3b. Explain two ways an audio file will be affected if the bit depth is increased . [4 ] 3c. Explain what the bit rate is. [ 2 ] 4 . An audio sample has a bit depth of 8 , a sample rate of 10 and it is 12 seconds long . What is the file size in bytes ? [ 2 ] 5a. What is metadata ? [ 2 ] 5b. State four different types of metadata for audio files . [4 ] low bit rate = lower quality high bit rate = higher quality Converting Analog Sound to Binary 1 4.6 Graphical Representation Theory Topics 4.8 - Compression
- 2.5 - Compression - OCR GCSE (J277 Spec) | CSNewbs
Learn about the benefits of compression and the differences between lossy and lossless compression. Also, learn how compression ratios work. Based on the J277 OCR GCSE Computer Science specification (first taught from 2020 onwards). 2.5: Compression Exam Board: OCR Specification: J277 Watch on YouTube : Compression Benefits Lossy Compression Lossless Compression What is compression? To compress a file means to make its size smaller . Benefits of compression include: Files take up less storage space (so more files can be stored). Files can be transferred quicker (because they are smaller). Files can be read from or written to quicker . There are two methods that are used to compress files: Lossy and Lossless . Lossy Compression Lossy compression uses an algorithm (set of instructions) to analyse a file and remove data that cannot be heard or seen by humans . For example, a lossy algorithm would analyse the sound waves of an audio file and remove any frequencies which humans cannot hear. This process reduces the size of the file . Further lossy compression will remove data that humans can see / hear . For example, the dog image to the right has been strongly compressed using a lossy algorithm and some data has clearly been removed. Lossy compression removes the data permanently , so the file can never return to its original form . Lossy compression is often used with images , audio and video to reduce the file size, for example to send over the internet. Lossless Compression Lossless compression reduces the size of a file without permanently removing any data . Because of this, the file is returned to its original form when decompressed, so no quality is lost . A file that is compressed with a lossless algorithm is usually larger than a file compressed with a lossy algorithm because no data has been permanently removed. Lossless compression is used with files that would not function properly if data were permanently removed, such as executable files (e.g., programs and games) or word documents . Remember that lossy and lossless compression do not just refer to images. Below is an audio file that has been compressed with lossy compression . Data has been removed so the audio quality has decreased. 197 KB 81 KB 43 KB Q uesto's Q uestions 2.5 - Compression: 1. Describe 3 benefits of compressing a file . [ 3 ] 2. Describe the differences between lossy and lossless compression . [4 ] 3. A student needs to compress a Microsoft Word document to send in an email. Suggest which type of compression they should use and why . [ 2 ] 2.4e Sound Storage Theory Topics 3.1a - Network Types & Performance
- 4.2 - Client Requirement Specfications | F160 | Cambridge Advanced National in Computing AAQ
Learn about the importance of client requirement specifications and the need for specific elements such as functional requirements, process constraints and data formats. Based on Unit F160 (Fundamentals of Application Development) for the OCR Cambridge Advanced National in Computing (H029 / H129) (AAQ - Alternative Academic Qualification). Qualification: Cambridge Advanced National in Computing (AAQ) Unit: F160: Fundamentals of Application Development Certificate: Computing: Application Development (H029 / H129) 4.2 - Client Requirement Specifications Watch on YouTube : Client Requirement Specifications A client requirement specification is a detailed document that outlines what the client needs from a new system . Elements include the new system’s purpose , functional and non-functional requirements , constraints and success criteria . As well as understanding the importance of creating client requirement specifications , you need to know the purpose of each element and how they can be gathered using the methods from section 4.1 . Client Requirement Specifications Elements of Requirement Specifications Specifications ensure developers and stakeholders fully understand what the client wants the system to do , avoiding misunderstandings and costly changes later. There are several elements of client requirement specifications you need to know : Purpose of the new system Current system deficiencies Requirements ( functional and n on-functional ) Data formats Process constraints Version and source control Client-defined constraints Three considerations for data storage location are local/onsite , cloud and physical storage devices . Budget Time Integration Software Hardware Data storage location Q uesto's Q uestions 4.2 - Client Requirement Specifications: 1. Give three reasons why it is important to create a client requirement specification . [8 ] 2. Describe the purpose of each client-defined constraint . [6 ] 3. Describe the difference between functional and non-functional requirements . [ 2 ] Some cloud storage data centres are built in cold climates , such as Sweden and Norway , to reduce cooling costs for servers that run 24/7 . D id Y ou K now? 4.1 - Gathering Client Requirements Topic List 4.3 - Decomposition Methods
- Python | Section 10 Practice Tasks | CSNewbs
Test your understanding of working with files in Python, including reading, searching, writing and editing. Try practice tasks and learn through text and images. Perfect for students learning GCSE Computer Science in UK schools. Python - Section 10 Practice Tasks Task One Create a file in Python called DaysOfTheWeek.txt. Write the days of the week into the file in a single print line but put each day on a new line. Check the file to see if it has worked. Example solution: Task Two Create a file called Colours.txt. Use a for loop to ask the user to enter 8 different colours. Write each colour onto the same line, with a space between the colours. Close the file and open it again in read mode and print it. Example solution: Task Three Create a file named "Holiday.txt". Ask the user to enter the family name, destination and and number of passengers. Print each family's details on their own line. Bonus: Edit this program to add a search feature to look for the family name. Example solution: Task Four Use the holiday file from task three above. You are going to change the destination. Ask the user to enter a family name and then a new destination. Update the destination with the new value. Check the file to ensure the destination has been updated successfully. Use section 10c to help you with this task. Example solution: ⬅ 10c - Remove & Edit Lines 11 - Graphical User Interface ➡
- 1.1b - Registers & FE Cycle - OCR GCSE (J277 Spec) | CSNewbs
Learn about key registers used in the fetch - execute cycle such as the program counter and current instruction register. Based on the J277 OCR GCSE Computer Science specification (first taught from 2020 onwards). 1.1b: Registers & The F-E Cycle Exam Board: OCR Specification: J277 Watch on YouTube : Registers in the FE Cycle Reading instructions The fetch - execute (F-E) cycle is performed by the CPU millions of times every second. This cycle is how the CPU processes data and instructions for each program or service requiring attention . Important Registers A register is a small storage space for temporary data in the CPU . Each register has a specific role . There are four essential registers used in the F-E cycle : Program Counter (PC) A register that tracks the RAM address of the next instruction to be fetched . Memory Address Register (MAR) Stores the RAM address of the current instruction (or data ) the CPU needs to access . Memory Data Register (MDR) The MDR stores the instruction that has been transferred from RAM to the CPU . Accumulator (ACC) The ACC stores the result of mathematical or logical calculations . The PC , MAR and MDR are used in the fetch stage , whereas the ACC is used in the execute stage . The PC and MAR store an address (a memory location in RAM ) whereas the MDR and ACC store data (a value ). Fetch - Execute Cycle The essential idea of the F-E cycle is that instructions are fetched from RAM , to be decoded (understood) and executed (processed) by the CPU . 1. The Program Counter (PC ) register displays the address in RAM of the next instruction to be processed . This value is copied into the Memory Address Register (MAR ). 0054 2. The PC register is increased by 1 . This prepares the CPU for the next instruction to be fetched. 0055 3. The CPU checks the address in RAM which matches the address held in the MAR . 0054 4. The instruction in RAM is transferred to the Memory Data Register (MDR ). MDR 5. The instruction is decoded by the control unit which splits the instruction into an opcode (an action ) and an operand ( data or address ). 6. The instruction i s executed (run). Any result of an execution is stored in the Accumulator (ACC ) register, such as calculations made by the ALU . ACC 7. The cycle repeats by returning to the first step and checking the program counter for the address of the next instruction . Q uesto's Q uestions 1.1b - Registers & The F-E Cycle: 1 . What is the purpose of the registers ? [1 ] 2 . Describe the purpose of each register : a. The Program Counter (PC) [ 2 ] b. The Memory Address Register (MAR) [ 2 ] c. The Memory Data Register (MDR) [ 2 ] d. The Accumulator (ACC) [ 2 ] 3. Draw a diagram with icons and words to show the steps of the Fetch - Execute cycle . [7 ] 1.1a - The CPU Theory Topics 1.2 - CPU Performance
- CTech 4.4 - Ready For Work | CSNewbs
Learn about three key methods of ensuring that an employee is ready for a successful job role, such as their clothing, hygiene and attitude. Based on the 2016 OCR Cambridge Technicals Level 3 IT specification. 4.4 - Ready for Work Exam Board: OCR Specification: 2016 - Unit 1 Successful employees always demonstrate that they are ready to work hard for their organisation by presenting themselves in a professional manner in line with the company's policies. Dress Code Employees must follow the dress code policy of an organisation at all times . For some businesses this may be very formal such as a suit and tie for men and a smart dress or trousers for women. Other organisations enforce a smart-casual dress code where expectations for dress are not as strict but obscene attire is still not permitted. Different job roles within a company may also have different expected standards of dress , for example a manager may require a tie and a technician may not. Presentation Employees should have good personal hygiene so that they can comfortably communicate with other staff members and customers. Good personal hygiene demonstrates respect for the organisation, other employees and yourself. Wearing clean clothes and avoiding bad odour help to give a professional impression . Attitude Maintaining a positive attitude can help you to be noticed and liked by peers and management. Having an 'I can do it' attitude, even during difficult times, will make you a hugely important team member of an organisation. Employees should be able to adapt and respond to on-going situations, be flexible and listen to suggestions made by others. Q uesto's Q uestions 4.4 - Ready for Work: 1. What is meant by a dress code ? Explain why it is important for employees of an organisation to follow the company's dress code policy . [2 ] 2. Why is personal presentation so important in an organisation? [2 ] 3. A games company has had its latest game flop and nobody seems to be buying it. What should the attitude of the company manager be during this time? [3 ] 4. Explain why two workers in the same company may have different expected standards of dress . [1 ] 5. Identify and describe three ways that IT employees can demonstrate that they are ready for work . You should refer to each of the 3 subsections (dress code, presentation and attitude). [6 ] 4.3 - Personal Attributes Topic List 4.5 - Job Roles
- Python | 2b - Inputting Numbers | CSNewbs
Learn how to input numbers in Python. Try practice tasks and learn through text and images. Perfect for students learning GCSE Computer Science in UK schools. top Python 2B - Inputting Numbers Inputting Whole Numbers in Python To enter whole numbers then you must use the int command. int stands for integer (a whole number ) and is typed before input – don’t forget the double brackets at the end . age = int ( input ( "How old are you? " )) print ( "Have you really lived for " , age , "years?" ) = How old are you? 99 Have you really lived for 99 years? Inputting Numbers Task 1 ( Zoo) Type an input line (with int ) to ask the user how many times they’ve been to the zoo . Print a reply that uses the zoo variable (their answer). Example solution: How many times have you been to the zoo? 3 You've been to the zoo 3 times? I love animals! Inputting Decimal Numbers in Python Using float instead of int allows a decimal number to be entered instead. Again, don’t forget the double brackets at the end . miles = float ( input ( "How far have you walked today? " )) print ( "You really walked for " , miles , "miles? Wow!" ) = How far have you walked today? 5.6 You really walked for 5.6 miles? Wow! Inputting Numbers Task 2 ( Height ) Type an input line (with float ) to ask the user their height in metres. Print a reply that uses the height variable (their answer). Example solution: What is your height in metres? 1.82 You are 1.82 metres tall? Wow! ⬅ 2a - Inputting Text Sect ion 2 Practice Tasks ➡
- App Inventor 2 | The Basics | CSNewbs
Learn how to use App Inventor 2 to create simple programs. Perfect for key Stage 3 students to experiment with block coding and objects What is App Inventor? App Inventor 2 Link App Inventor 2 is software developed by Massachusetts Institute of Technology (MIT ), a research university in America. It allows users to create simple apps and learn about the way that they work in a fun manner. There is no need to learn how to program with text editors as everything is based around blocks, a bit like Scratch. To open App Inventor 2 (the current version of the program) click the button in the top right. You will need to log in with a Google account. There are two layouts to App Inventor, Designer and Blocks . You can switch between them with the bottoms in the top right corner. This guide will show you how to make seven simple programs and introduce you to programming concepts such as variables and properties . Download all App Inventor images you will need for the 7 tasks by clicking the camera icon. Note to Computer Science Teachers - The easiest way to test programs made using App Inventor 2 is using the emulator which should be pre-installed by the IT technician team at your school. See here for information on how to set it up. Also, Google accounts are required to access and use App Inventor 2. Viewer - This is a mock-up of what your app will look like. Components - Each component can be renamed or deleted here. Designer Layout Palette - Drag the component that you want to use in your app, into the centre. Properties - Edit the settings for each component. Media - Upload images and sound here before they can be used in your app. Blocks Layout Viewer - This is space for you to drag blocks to make things happen. Blocks - Drag the code block that you want to use into the centre. The blocks connect together like in Scratch. Warnings - Any errors with your code will be displayed here. Backpack - Drag code into to backpack to store it for later. KS3 Home Tasks 1 & 2
- 2.1 - Programming Fundamentals - OCR GCSE (J277 Spec) | CSNewbs
Learn about the fundamentals of programming - selection, sequence and iteration. Also find out the difference between local and global variables and constants. Based on the J277 OCR GCSE Computer Science specification (first taught from 2020 onwards). Exam Board: OCR Specification: J277 2.1: Programming Fundamentals Watch on YouTube : Programming Fundamentals Sequence Selection Iteration Operators This section of the specification includes programming topics that are outlined in 1.2 (Designing Algorithms). You must have an understanding of a range of programming techniques , such as how to use selection , loops and operators . The best practice for learning is to try the tasks in the Python pages on this website (see the link to the right). Visit the Python section of CSNewbs ---> Programming Constructs There are three constructs ( ideas of programming ) that are used to control the flow of a program : Sequence Structuring code into a logical, sequential order . Selection Decision making using if statements . Iteration Repeating code using for or while loops . Variables Variables are used to store data in programs. They can be changed as the program runs . A variable has two parts - the data value such as "Emily" and an identifier such as First_Name . An efficient program will use variables with sensible identifiers that immediately state their purpose in the program. Using variable names like 'TotalNum' and 'Profit' rather than 'num1' and 'num2' mean that other programmers will be able to work out the purpose of the code without the need for extensive comments. Local & Global Variables Large programs are often modular - split into subroutines with each subroutine having a dedicated purpose. Local variables are declared within a specific subroutine and can only be used within that subroutine . Global variables can be used at any point within the whole program . Local variable advantages Saves memory - only uses memory when that local variable is needed - global variables use memory whether they are used or not. Easier to debug local variables as they can only be changed within one subroutine. You can reuse subroutines with local variables in other programs. Global variable advantages Variables can be used anywhere in the whole program (and in multiple subroutines). Makes maintenance easier as they are only declared once. Can be used for constants - values that remain the same. Constants π As specified before, a variable is data that can change in value as a program is being run. A constant is data that does not change in value as the program is run - it is fixed and remains the same. An example of a constant in maths programs is pi - it will constantly remain at 3.14159 and never change. Operators Comparison Operators Comparison operators are used to compare two data values . A table of common comparison operators used in programs are below: Arithmetic Operators Arithmetic operators are used to mathematically manipulate values . The most common arithmetic operators are add (+ ), subtract (- ), multiply (* ) and divide (/ ). Further arithmetic operators are shown below: Modulo division (also known as modulus ) reveals the remainder from the last whole number . For example: 9 % 4 = 1 (4 goes into 9 twice (8) with a remainder of 1) Integer division (also known as quotient ) reveals the ‘whole number of times ’ a number can be divided into another number : 9 // 4 = 2 (4 goes into 9 fully, twice) The symbol ^ represents exponentiation . However, Python uses ** to represent exponentiation. For example '2^3 = 8' is equivalent to '2³ = 8'. Logical Operators Logical operators typically use TRUE and FALSE values which is known as Boolean . You can find more information about Boolean values in section 4.1 . Q uesto's Q uestions 2.1 - Programming Fundamentals: Programming Constructs 1. Describe and draw a diagram for the 3 programming constructs . [6 ] Variables 1. What is the difference between local and global variables ? [4 ] 2. Describe two advantages of using local variables . [2 ] 3. Describe two advantages of using global variables . [2 ] 4. What is a constant ? Give an example . [2 ] 1.3 - Searching & Sorting Theory Topics 2.2 - Data Types
- 4.3 - Binary Calculations - Eduqas GCSE (2020 Spec) | CSNewbs
Learn about how to perform binary addition and binary subtraction. Based on the 2020 Eduqas (WJEC) GCSE specification. 4.3: Binary Calculations Exam Board: Eduqas Specification: 2020 What are binary calculations? Binary addition and binary subtraction are methods of adding or subtracting binary values without having to convert them into denary. How to add binary numbers: How to subtract binary numbers: Overflow & Underflow Errors Overflow and underflow errors occur when there is not enough space to accurately represent a binary number in the bits available . What is an overflow error? An overflow error occurs when a binary value is too large to be stored in the bits available . In technical terms, an overflow error occurs if a carry (remainder) is present on the most significant bit (MSB ). The CPU then sets the overflow flag to true . The most significant bit (MSB ) is the largest bit (always the one furthest to the left ) of a binary value (e.g. 128 for an 8 bit value). A flag is an alert signal . It is either on or off. The overflow flag is turned on by the CPU when an overflow occurs. What is an underflow error? An underflow error occurs when a number is too small to be stored in the bits available . The value is too close to 0 to be accurately represented in binary. Q uesto's Q uestions 4.3 - Binary Calculations: 1a. Describe the terms ' most significant bit ' and ' flag '. [ 2 ] 1b. Using the terms from 1a , explain what an overflow error is. [ 2 ] 1c. Describe what is meant by an underflow error . [ 2 ] 2. Add together the following binary values. If an overflow error occurs you must state one has occurred. a. 010110012 and 010001012 [2 ] b. 110110112 and 010111012 [2 ] c. 001101102 and 011010112 [2 ] d. 110110112 and 010101112 [2 ] e. 011011012 and 110101102 [2 ] 3. Subtract the following binary values; put the first value on top of the second value: a. 100110102 and 000110002 [2 ] b. 110110112 and 010111012 [2 ] c. 011101102 and 011010112 [2 ] d. 110110112 and 010101112 [2 ] e. 111011012 and 110101102 [2 ] Watch on YouTube Watch on YouTube 4.2 Signed Binary Theory Topics 4.4 - Arithmetic Shift








