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
Data Representation and Data Types
The binary number system
- 3 things to know
- AS Unit 1
Overview
Column values in an eight-bit binary number, largest value eight bits can hold as an unsigned number and largest unsigned value that fits in sixteen bits.
What you need to know
Answer each one before you reveal it.
What are the column values in an eight-bit binary number?
Convert 10110110 in binary to denary.
Questions from this subtopic
Each one with the model answer underneath.
- 1
What are the column values in an eight-bit binary number?
Model answer
Reading from the right they are 1, 2, 4, 8, 16, 32, 64 and 128, that is 2⁰ up to 2⁷, each double the one to its right.
- 2
Convert 10110110 in binary to denary.
Model answer
The set columns are 128, 32, 16, 4 and 2, which add to 182.
- 3
Convert 200 in denary to eight-bit binary.
Model answer
Taking 128, then 64, then 8 accounts for the whole value, giving 11001000.
- 4
Convert 45 in denary to eight-bit binary.
Model answer
The columns 32, 8, 4 and 1 add to 45, giving 00101101.
- 5
Convert 00111111 in binary to denary.
Model answer
The set columns are 32, 16, 8, 4, 2 and 1, which add to 63.
- 6
What is the largest value eight bits can hold as an unsigned number, and why?
Model answer
It is 11111111 in binary, which is 255 in denary, because eight bits give 2⁸ = 256 patterns and the counting starts at zero.
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