Public learning track
Boolean Algebra and Karnaugh Map Minimisation
11th Grade · Technology · UK A-Level
8 lessons
Goal
Apply algebraic identities, De Morgan's laws, and 2- to 4-variable Karnaugh mapping techniques with don't-care conditions to derive minimal Sum-of-Products logic expressions.
Featured Diagrams
Simplifying Boolean Expressions Using Algebraic Laws
8 lessons
0 of 8 done
- 1Simplifying Boolean Expressions Using Algebraic LawsUp nextStart
- 2De Morgan's Theorem: Breaking Down Boolean ExpressionsPremiumNot started yet
- 3Advanced Boolean Identities: Consensus and Absorption TheoremsNot started yet
- 4Karnaugh Maps: IntroductionNot started yet
- 5Constructing and Grouping 3-Variable Karnaugh MapsNot started yet
- 6Constructing and Grouping 4-Variable Karnaugh MapsNot started yet
- 7Simplifying Expressions with Karnaugh MapsNot started yet
- 8Utilising Don't-Care States in Karnaugh Map MinimisationNot started yet
Curriculum Framework
11th Grade · Technology · UK A-Level
1
10 lessons
Logic Gates, Multi-Input Gates, and Schmitt Inverters
Identify and analyse the operation, symbols, and truth tables of fundamental logic gates, multi-input gates, and Schmitt inverters.
2
10 lessons
Combinational Logic Analysis and Synthesis
Analyse, trace, and synthesise multi-gate logic networks from truth tables, Boolean expressions, and system specifications.
3
8 lessons
Universal Logic Gates and NAND-Gate Simplification
Implement arbitrary logic functions using universal NAND or NOR gates and apply gate-level simplification rules.
4
8 lessons
Boolean Algebra and Karnaugh Map Minimisation
Apply algebraic identities, De Morgan's laws, and 2- to 4-variable Karnaugh mapping techniques with don't-care conditions to derive minimal Sum-of-Products logic expressions.
5
4 lessons
Implementing Logic with Multiplexers
Design combinational logic functions using multiplexers as universal logic modules and evaluate trade-offs between multiplexer designs and discrete gate minimisation.
6
10 lessons
Practical Logic Interfacing: Sourcing, Sinking, and Pull Resistors
Design, calculate component values for, and construct practical logic gate circuits with proper sourcing, sinking, pull-up, and pull-down configurations.