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
Boolean Logic and Simplification
Simplifying Boolean expressions
- 3 things to know
- Component 1
Overview
General strategy for simplifying a Boolean expression and redundant term in a Boolean expression.
What you need to know
Answer each one before you reveal it.
Simplify A.B + A.NOT B.
Simplify A + A.B.
Questions from this subtopic
Each one with the model answer underneath.
- 1
Why is a Boolean expression simplified?
Model answer
A simplified expression needs fewer gates, so the circuit costs less and uses less power. Propagation delay through the circuit is also reduced.
- 2
Simplify A.B + A.NOT B.
Model answer
The expression simplifies to A. The common factor A multiplies B OR NOT B, which equals 1.
- 3
Simplify A + A.B.
Model answer
The expression simplifies to A. The absorption law removes the second term entirely.
- 4
Simplify A.(A + B).
Model answer
The expression simplifies to A. The bracket adds nothing, because A must already be 1 for the AND to give 1.
- 5
Simplify A + NOT A.B.
Model answer
The expression simplifies to A + B. The single A already covers every case in which A is 1.
- 6
Simplify (A + B).(A + NOT B).
Model answer
The expression simplifies to A. Expansion leaves A plus further terms that all contain A.
Other ways to work this
The same content, four other ways.
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Six ways to work the same material.
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