Eduqas A-Level Computer Science A500QS
Data Structures: Arrays, Records and Hash Tables
Stacks, Queues, Linked Lists and Trees
Boolean Logic and Simplification
Algorithms, Pseudo-Code and Programming Constructs
Variables, Scope, Parameters and Identifiers
Recursion and Modular Programming
Sorting Algorithms
Searching and Shortest-Path Algorithms
Big O Notation and Algorithm Efficiency
Validation, Verification and Testing
Data Compression
Programming Paradigms and Computer Languages
Systems Analysis, Maintenance and Documentation
System Design and Human-Computer Interaction
Software Engineering Tools and Translators
Computing, Society and the Law
Computer Architecture, the Processor and Assembly Language
Input, Output and Secondary Storage
Networks, Protocols and the Internet
Data Transmission and Network Performance
Number Systems and Binary Arithmetic
Data Types, Characters and Floating Point
Files, Records and File Organisation
Databases, Normalisation and Entity Modelling
SQL, Big Data and Distributed Systems
The Operating System and Its Modes
Interrupts, Memory Management and Scheduling
Types of Software System
Data Security, Cryptography and Attack
Data Compression
Measuring compression: ratio and saving percentage
- 3 things to know
- Component 1
Overview
Formula for compression ratio, formula for saving percentage and compression time.
What you need to know
Answer each one before you reveal it.
A 200 MB file compresses to 50 MB. State the compression ratio.
State the formula for saving percentage.
Questions from this subtopic
Each one with the model answer underneath.
- 1
State the formula for compression ratio.
Model answer
Compression ratio is the uncompressed size divided by the compressed size. A result of four is normally written as the ratio 4:1.
- 2
A 200 MB file compresses to 50 MB. State the compression ratio.
Model answer
The compression ratio is 4:1, because 200 divided by 50 is 4.
- 3
State the formula for saving percentage.
Model answer
Saving percentage is the space saved divided by the original size, multiplied by 100. The space saved is the original size minus the compressed size.
- 4
A 200 MB file compresses to 50 MB. State the saving percentage.
Model answer
The saving is 150 MB out of 200 MB, which is 75%.
- 5
A 80 MB file compresses to 20 MB. Give both the ratio and the saving percentage.
Model answer
The compression ratio is 4:1. The saving is 60 MB out of 80 MB, which is 75%.
- 6
A file compresses with a ratio of 5:1. State the saving percentage.
Model answer
A ratio of 5:1 leaves one fifth of the file, so four fifths are saved. The saving percentage is 80%.
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