WJEC A-Level Computer Science 601-5345-3
Hardware: Architecture, Memory and Storage
Networks and Data Transmission
Logic Gates and Boolean Algebra
Data Representation and Data Types
Data Structures
Organisation of Data: Files and Records
Database Systems
The Operating System
Algorithms and Programs
Principles of Programming
Systems Analysis
Software Engineering and Program Construction
Types of Software System
Practical Programming
Data Security and Integrity
Computing, Society and the Law
Advanced Data Structures and Logic
Recursion, Sorting and Searching
Programming Paradigms and Translators
System Design and Human-Computer Interaction
Software Engineering Tools and Professional Practice
Advanced Architecture and Assembly Language
Communication Networks and File Organisation
Number Representation and Floating Point
Databases and Distributed Systems
Operating System Management
Software Systems and Applications
Data Security, Cryptography and Attack
Number Representation and Floating Point
Sign and magnitude representation
- 3 things to know
- A2 Unit 4
Overview
Recall questions on how the sign bit works, representing −20 and reading 10000111, the range and why it is one value narrower, the two zeros and why they cost, why plain addition fails, and why two's complement displaced it.
What you need to know
Answer each one before you reveal it.
How does sign and magnitude represent a negative number?
State the range of an 8-bit sign and magnitude number.
Questions from this subtopic
Each one with the model answer underneath.
- 1
How does sign and magnitude represent a negative number?
Model answer
The most significant bit is used as a sign, 0 for positive and 1 for negative, and the remaining bits hold the magnitude.
- 2
Represent −20 in 8-bit sign and magnitude.
Model answer
10010100.
- 3
What denary value is 10000111 in 8-bit sign and magnitude?
Model answer
−7.
- 4
State the range of an 8-bit sign and magnitude number.
Model answer
−127 to +127.
- 5
Give the two representations of zero in 8-bit sign and magnitude.
Model answer
00000000 and 10000000.
- 6
Why is having two zeros a problem for a processor?
Model answer
A comparison for zero must test two patterns, which complicates the hardware and the programmer's logic.
Other ways to work this
The same content, four other ways.
What is inside Levo
Six ways to work the same material.
Every question in Number Representation and Floating Point, on a schedule.
Attempt a question from memory, write the correct version, then attempt it again. Levo records the jump between your first attempt and your last, and brings each question back on the day you are due to forget it.
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