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
Number Systems and Binary Arithmetic
Logical and arithmetic shifts
- 3 things to know
- Component 2
Overview
Logical shift, arithmetic shift and circular shift.
What you need to know
Answer each one before you reveal it.
Apply a logical left shift of two places to 00010110.
Apply a logical right shift of one place to 10011010.
Questions from this subtopic
Each one with the model answer underneath.
- 1
What is a logical shift?
Model answer
A logical shift moves every bit a fixed number of places left or right. Zeros are fed in at the vacated end and bits shifted out are lost.
- 2
Apply a logical left shift of two places to 00010110.
Model answer
A logical left shift of two places gives 01011000. Denary 22 becomes 88, because two left shifts multiply by 4.
- 3
Apply a logical right shift of one place to 10011010.
Model answer
A logical right shift of one place gives 01001101. Denary 154 becomes 77, which is 154 halved.
- 4
What is an arithmetic shift?
Model answer
An arithmetic shift treats the pattern as a signed two's complement number. On a right shift the sign bit is copied into the vacated position.
- 5
Apply an arithmetic right shift of one place to 11110000.
Model answer
An arithmetic right shift of one place gives 11111000. Denary −16 becomes −8, which is −16 halved.
- 6
Shift 11011000 right two places, once logically and once arithmetically.
Model answer
A logical shift gives 00110110, which is 54 unsigned. An arithmetic shift gives 11110110, which is −10 signed.
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