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
Binary and denary place value
- 3 things to know
- Component 2
Overview
Base of the binary number system, repeated division method for converting denary to binary and how you check a denary to binary conversion.
What you need to know
Answer each one before you reveal it.
State the place values of the eight columns in an 8-bit binary number.
Convert binary 11010110 to denary.
Questions from this subtopic
Each one with the model answer underneath.
- 1
What is the base of the binary number system?
Model answer
Binary is a base 2 system using only the digits 0 and 1. Each column is worth twice the column to its right.
- 2
State the place values of the eight columns in an 8-bit binary number.
Model answer
The eight columns are worth 128, 64, 32, 16, 8, 4, 2 and 1. Each value is a power of two, from 2⁷ down to 2⁰.
- 3
Convert binary 11010110 to denary.
Model answer
Binary 11010110 is 214 in denary. The set bits are worth 128, 64, 16, 4 and 2, which sum to 214.
- 4
Convert denary 200 to 8-bit binary.
Model answer
Denary 200 is 11001000 in binary. The value comes from 128 plus 64 plus 8.
- 5
Convert denary 45 to 8-bit binary.
Model answer
Denary 45 is 00101101 in binary. The set columns are 32, 8, 4 and 1.
- 6
Describe the repeated division method for converting denary to binary.
Model answer
The denary number is divided repeatedly by 2 and each remainder is recorded. The remainders read from last to first give the binary pattern.
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 Systems and Binary Arithmetic, 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.
Or £46 a year, about £3.83 a month. Cancel anytime.