year 9 computer science data representation worksheet 5 answers

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DATA REPRESENTATION (Worksheet)

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Data representations

Curriculum > KS4 > Unit

This unit allows learners to gain the understanding and skills required for the data representation sections of the GCSE computer science exam. First, learners look at binary and hexadecimal numbering systems, how they work, and how to convert between bases. Then, learners explore different coding systems and find out how text, images, and sound are represented in computers. All lessons include worksheets to allow learners to explore each topic through practical application.

Learning graph

Summative assessment, summative answer.

• Lesson 1 What is representation? Log in to download
• Lesson 2 Number bases Log in to download
• Lesson 3 Binary addition Log in to download
• Lesson 4 Binary subtraction Log in to download
• Lesson 5 Binary shifts Log in to download
• Lesson 6 Signed binary integers Log in to download
• Lesson 7 Hexadecimal Log in to download
• Lesson 8 Representing text Log in to download
• Lesson 9 Unicode and file size calculation Log in to download
• Lesson 10 Representing bitmap images Log in to download
• Lesson 11 Bitmap file size calculation Log in to download
• Lesson 12 Representing sound Log in to download
• Lesson 13 Sound file size calculation Log in to download
• Lesson 14 Measurements of storage Log in to download
• Lesson 15 Lossy and lossless compression Log in to download
• Lesson 16 Run length encoding Log in to download
• Lesson 17 Huffman coding Log in to download
• Lesson 18 Summative assessment Log in to download

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Computer Science

Part of Learn & revise

Computational thinking

Introduction to computational thinking

Before computers can be used to solve a problem, the problem itself and the ways in which it could be resolved must be understood. Computational thinking techniques help with these tasks.

Decomposition

Before computers can solve a problem, the problem and the ways in which it can be resolved must be understood. Decomposition helps by breaking down complex problems into more manageable parts.

Pattern recognition

Once we have decomposed a complex problem, it helps to examine the small problems for similarities or ‘patterns’. These patterns can help us to solve complex problems more efficiently.

Abstraction

Once we have recognised patterns in our problems, we use abstraction to gather the general characteristics and to filter out of the details we do not need in order to solve our problem.

An algorithm is a plan, a set of step-by-step instructions to resolve a problem. In an algorithm, each instruction is identified and the order in which they should be carried out is planned.

Evaluating solutions

Before solutions can be programmed, it is important to make sure that it properly satisfies the problem, and that it does so efficiently. This is done through evaluation.

Designing an algorithm

Before designing an algorithm it is important to first understand what the problem is. Algorithms can be designed using pseudocode or a flowchart, and the standard notations of each should be known.

Searching for data can be very difficult. Searching algorithms, such as serial search and binary search, make the process of searching for data much easier.

Putting data into order can be difficult and time consuming. Sorting algorithms, such as bubble sort and bucket sort can help with this.

When designing algorithms, it is important to make sure that all the steps are presented in the correct order. This is known as sequencing, and can be displayed in pseudocode or flowcharts.

When designing algorithms, there are many steps where decisions must be made. This decision is known as selection, and can be displayed in pseudocode or flowcharts.

When designing algorithms, there may be some steps that need repeating. This is known as iteration, and can be displayed in pseudocode or flowcharts.

Logical reasoning

There is almost always more than one solution to a problem. Logical reasoning is used to predict the outcomes of the algorithms that are designed to solve a problem, to help select the best solution.

Programming

Introduction to programming

Programming is writing computer code to create a program, in order to solve a problem. Programs consist of a series of instructions to tell a computer exactly what to do and how to do it.

Programming basics

Programming is writing computer code to create a program, in order to solve a problem. To program a computer, you need to know how programs are constructed.

Selection in programming

When designing programs, there are often points where a decision must be made. This decision is known as selection, and is implemented in programming using IF statements.

Iteration in programming

When designing programs, there may be some instructions that need repeating. This is known as iteration, and is implemented in programming using FOR and WHILE statements.

Boolean logic

When designing programs, there are often points where a condition needs to be tested in order to make a decision. Conditions are formed using Boolean logic.

Arrays and lists

When writing programs, it is useful to use arrays and lists as they simplify programs by storing related data under one name.

Procedures and functions

When writing programs, we should avoid long, repetitive code. Procedures and functions help to keep our programs simple and short.

Writing error-free code

When writing programs, code should be as legible and error free as possible. Debugging helps keep code free of errors and documenting helps keep code clear enough to read.

Data representation

Computers use binary to process data. There are simple techniques to convert between binary and denary and to add two binary numbers together.

Representing text, images and sound

Learn how text, images and sound are converted into binary so they can be processed by a computer and how images and sound are compressed to create smaller files.

Hardware and software

Digital devices

Computers exist in many digital devices that we use on a day-to-day basis. Digital devices may be input, output or storage devices. On a basic level, they all operate through the use of logic gates.

Software is the programs that are run on computer hardware. There are two different types of software: systems software and applications software.

The CPU and the fetch-execute cycle

Learn about what the central processing unit is, its three main components, the factors that influence the CPU’s speed, and the fetch-execute cycle.

Introduction to networks

The two main types of network are wide area networks and local area networks. Learn what these are, and the benefits and problems of using them.

Internet communication

Internet and communication

As a society we need to communicate and share. The internet allows us to communicate and share information in a matter of seconds.

Search engines

The internet contains billions of pages of information. You use search engines to help you filter through the pages to find the information you need.

Safety and responsibility

Online safety

The internet is a fantastic tool and resource. By taking simple precautions, online dangers can largely be avoided and we can stay safe while online.

Bias and reliability

We use the internet to find information. However, finding information that is reliable and free of bias is as important as finding the information itself.

The law and ethics

Computer-related laws exist to protect users. By being aware of the laws we can stay safe whilst online.

Jobs that use Computer Science

BBC Technology news

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GCSE – Data representations

Curriculum KS4 Unit

This unit allows learners to gain the understanding and skills required for the data representation sections of the GCSE computer science exam. First, learners look at binary and hexadecimal numbering systems, how they work, and how to convert between bases. Then, learners explore different coding systems and find out how text, images, and sound are represented in computers. All lessons include worksheets to allow learners to explore each topic through practical application.

Updated: 10 Feb 2023

Learning graph

Updated: 21 Feb 2023

Summative assessment

What is representation?

Number bases

Binary addition

Binary subtraction

Binary shifts

Signed binary integers

Hexadecimal

Representing text

Unicode and file size calculation

Representing bitmap images

Bitmap file size calculation

Representing sound

Sound file size calculation

Measurements of storage

Lossy and lossless compression

Run length encoding

Huffman coding

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KS3 Data and data representation

How does a computer store an image? What happens if we decrease the quality of an image file? Can we recreate the original image if we decrease its' quality? Are there ways to reduce the size of an audio file without losing the quality of the audio when it is played back?

Understanding data and how it is represented within the computer system can help students become better programmers and better able to understand the limitations of the data processing. Knowing that no matter how much an image is enhanced no extra details can be added, or that if an audio track is down sampled data is going to be lost are both fundamental to understanding. 

Data Representation: Bitmap Images

Quality Assured Category: Computing Publisher: Nichola Wilkin Ltd

A lesson plan and series of activities to help students understand that bitmapped images are built up purely of pixels. This includes a spreadsheet designed to represent monochrome and then simple colour images. The effect of increasing the range of colours available and its' effect on file size is discussed in some depth. 

Bitmap canvas editor in Excel

Quality Assured Category: Computing Publisher:

Although this resource does not contain any instructions for how to use it in a lesson, or lesson plans to go with it, it could easily be used to support the delivery of other activities as students learn about how images are created and stored, as well as how they are represented in the memory of a computer. Asking students to experiment with the images they are able to generate using this tool should give them a firmer grasp of how pixel data can be encoded in an image file

Binary and bitmapped images

A series of spreadsheet-based activities to simulate both binary and hexadecimal encoded image files. The students are required to convert between binary and hexadecimal as well as too and from denary as part of the process of solving these puzzles. The worksheet contains a number of example pictures which the students are required to recreate. There are a number of revised spreadsheet files each with slightly modified versions to enable different variants of the basic process to be undertaken by the students. 

Colour by Numbers - Image representation

Quality Assured Category: Computing Publisher: Computer Science Unplugged

A resource from CS Unplugged which looks at ways in which images can be represented by black and white pixels. It includes a number of activities to help students look at the way in which Run Length Encoding can be used to minimise the actual size of data which has to be transmitted by a fax machine (or stored on a disk). A discussion of the underlying ideas is included. 

Introduction to sound and music computing

A highly technical overview of how sound is represented in a computer, how digitising sound changes the quality of it and how reducing the sample rates can effect the resulting audio. The resource also comes with a number of sound samples to illustrate these concepts, along with both Python and Scratch programs to enable students to investigate further

Making data digital

This resource consists of a presentation which looks in various ways at how digital images and sounds are quantified in such a way that the computer can store and interpret them. This looks at the effects of digitising different types of data, and the effect that this has on both the size and the quality of the resulting files. It may be necessary to produce some supporting activities for students to undertake in lessons, to support their understanding of the content of this presentation. 

Count the Dots - Binary Numbers

An introduction to the binary number system, this activity from CS Unplugged explains the theories which underpin the use of base 2, as well as why and how computers use this as their fundamental building block. A series of activities are included to help consolidate students understanding of the binary system, and include discussion of how characters and other types of data can be encoded. 

Computational thinking and algorithms

Quality Assured Category: Computing Publisher: Computing At School

An unplugged activity to convert binary numbers into coordinates that enable students to recreate an image using values given in binary. The resource also includes a spreadsheet which can be used to make more complex images for use with students at a more advanced level. The presentation is more of a discussion of computational thinking and is not really relevant to this activity. Once students have completed the activity for themselves, they could be asked to create their own image in a similar way to the one they have recreated, and generate a coordinate list for their image in binary. The discussions listed in the activity sheet should also be useful to broaden students understanding of the use of binary as well as how it might be possible to speed up a computer system in similar situations. 

You Can Say That Again! - Text Compression

Reducing the amount of space that information occupies in a computer memory can make it easier to store more data, this activity from CS Unplugged looks at how text can be compressed so that no information is lost, but the overall file size can be significantly reduced. A series of activities to consolidate these ideas are presented along with an in depth discussion of what is going on in terms of the underlying computer science. 

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Fundamentals of Data Representation AQA GCSE Computer Science Workbook (8525)

Subject: Computing

Age range: 14-16

Resource type: Worksheet/Activity

Last updated

22 March 2024

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This data representation workbook is perfect for students studying for the AQA GCSE (9-1) in computer science and has been updated to completely cover the new specification 8525.

It can be used in the classroom as a teaching aid, for self-study or as a revision tool. In this resource you will receive an interactive PDF workbook so your students can either print it out and complete the activities by hand or fill it in electronically making this an ideal workbook for use in school or for students studying at home.

The answer booklet is provided as a separate PDF file so you can assign your students the workbook without including the answers.

This 66-page workbook completely covers the new specification 8525 3.3 Fundamentals of Data Representation theory.

Table of Contents:

• Number bases (decimal, binary and hexadecimal)
• Converting between number bases
• Units of information
• Adding together binary numbers
• Binary shift
• Character encoding
• Representing bitmap images
• Colour depth and image size
• Representing sound
• Sampling rate and sample resolution
• Calculate file sizes
• Data compression
• Huffman code
• Run length encoding (RLE) .

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As a special thank you for purchasing this product I am pleased to be able to also include a surprise FREE bonus gift. This gift is one of our complete resources which we will usually charge full price for but is yours absolutely free when you purchase this product. Just our little way of saying thank you to our valued customers. I hope you enjoy it and get use out of it, with my compliments.

You may also be interested in these workbooks which have also been updated for the new specification:

Python Programming

Computer Systems

Fundamentals of Computer Networks

Cyber Security

Relational databases and SQL

Ethical, Legal and Environmental Impacts

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Get this resource as part of a bundle and save up to 26%

A bundle is a package of resources grouped together to teach a particular topic, or a series of lessons, in one place.

All AQA 8525 computer Science Workbooks BUNDLE

Looking for a comprehensive and easy-to-use resource to help your students excel in AQA GCSE 8525 computer science? Look no further than our complete set of workbooks! Written specifically to match the requirements of the AQA GCSE Computer Science exams, these workbooks ensure that you cover the entire specification and provide your students with all the information they need for successful revision and exam preparation. But these workbooks are more than just a standard handout or textbook. They're interactive and engaging, combining the best of both worlds to create a powerful addition to your teacher's toolkit. With everything at their fingertips, your students will be able to focus on learning and achieving their best. **What is included?** Our interactive PDF workbooks make it easy to focus on specific sections of the AQA 8525 GCSE in Computer Science syllabus without overwhelming your students. Each workbook is designed to cover a single topic in depth, using student-friendly language and clear explanations of key terminology to help your pupils digest the knowledge and retain it for longer. Throughout each workbook, tasks are included to reinforce learning and allow you to monitor your students' progress. Answers are provided in a separate PDF workbook, giving you the option to issue workbooks without answers for assessment purposes. To help your students take ownership of their learning, each workbook also includes a student checklist. This tool allows students to track their progress and identify areas where they may need more work, helping you make the most of the time you have with your students. This bundle includes all of the following AQA workbooks: * Fundamentals of Algorithms * Programming using Python * Fundamentals of Data Representation * Computer Systems * Fundamentals of Computer Networks * Cyber Security * Relational Databases and Structured Query Language (SQL) * Ethical, Legal and Environmental Impacts of Digital Technology The total individual price for all the computer science workbooks is £135.92 but when purchased as a bundle you can get all this for only £100 saving you more than 25% of the individual price. **How can they be used?** Our AQA 8525 GCSE in Computer Science workbooks are the perfect complement to your classroom teaching. They offer the flexibility to be completed either on-screen or printed and completed manually on paper, ensuring continuity both in the computer room and when your classroom is being used by another subject. In addition, our workbooks can also be given to students as homework or self-study projects to complete on their own at home. This is a great option for students who may need extra practice or who want to reinforce their understanding of a particular topic. The best part? When you purchase our workbooks, you'll receive a PDF file that can be reused time and time again with no further costs or ongoing subscription fees. This means that you can continue to use them year after year, saving time and money in the process. So whether you're looking for an in-class supplement, a homework option, or a comprehensive revision tool, our AQA 8525 GCSE in Computer Science workbooks are an excellent choice.

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Data Representation Worksheets

£ 1.00

Description

Five data representation worksheets / activities for students – ideal for a quick plenary, starter, revision task or quick quiz to keep the topic alive.

Great to use alongside our data representation recap videos, if needed.

Each worksheet requires students to complete an example of all six conversions, with space for their workings.  Answers included.

• Binary to denary
• Binary to hex
• Hex to binary
• Hex to denary
• Denary to hex
• Denary to binary

This resource is available now for an immediate digital download in PDF format.

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Year 9 Data

Year 9 Data - Displaying top 8 worksheets found for this concept.

Some of the worksheets for this concept are Data representation and interpretation year 9, Grade 9 statistics and probability resource, 16 cumulative frequency mep y9 practice book b, Athematics year 9, 9 data analysismep pupil text 9, Year 9 english autumn term homework booklet, Science year 9, How can we obtain more money year 9.

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1. Data representation and interpretation: Year 9

2. grade 9 statistics and probability resource, 3. 16 cumulative frequency mep y9 practice book b, 4. athematics year 9, 5. 9 data analysismep pupil text 9, 6. year 9 english autumn term homework booklet, 7. science year 9, 8. how can we obtain more money (year 9).