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
Truth tables for combined Boolean expressions
- 3 things to know
- Component 1
Overview
Building the table for an expression with several operators: 2ⁿ rows for n inputs, listed in binary counting order, with an intermediate column for each part of the expression.
What you need to know
Answer each one before you reveal it.
How many rows are needed for a truth table with four inputs?
Why are intermediate columns useful in a truth table?
Questions from this subtopic
Each one with the model answer underneath.
- 1
How is a truth table built for a compound expression?
Model answer
The table lists every input combination and then adds a column for each intermediate term. The final column holds the value of the whole expression.
- 2
How many rows are needed for a truth table with four inputs?
Model answer
Four inputs need 16 rows. The row count doubles for each extra input, following 2ⁿ.
- 3
Why are intermediate columns useful in a truth table?
Model answer
An intermediate column records the value of one part of the expression. Errors are far easier to find than in a single long calculation.
- 4
In what order are input combinations normally listed?
Model answer
Input combinations are listed as a binary count upwards from all zeros. Every combination then appears exactly once.
- 5
State the value of A AND NOT B when A = 1 and B = 0.
Model answer
The output is 1. The inverse of B is 1, and 1 AND 1 gives 1.
- 6
State the value of NOT (A OR B) when A = 0 and B = 1.
Model answer
The output is 0. A OR B gives 1, and the inversion turns that into 0.
Other ways to work this
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