Public learning track
Universal Logic Gates and NAND-Gate Simplification
11th Grade · Technology · UK A-Level
8 lessons
Goal
Implement arbitrary logic functions using universal NAND or NOR gates and apply gate-level simplification rules.
8 lessons
0 of 8 done
- 1Universal Gates: NAND and NORUp nextStart
- 2Constructing NOT, AND, and OR Functions Exclusively from NAND GatesPremiumNot started yet
- 3Synthesising NOR, XOR, and XNOR Functions Using NAND Gates OnlyNot started yet
- 4Implementing Fundamental Logic Functions Using NOR Gates ExclusivelyNot started yet
- 5NAND-Gate Simplification Rules and Double Inversion CancellationNot started yet
- 6Converting Sum-of-Products Expressions Directly to NAND-NAND LogicNot started yet
- 7Converting Product-of-Sums Expressions Directly to NOR-NOR LogicNot started yet
- 8Minimising Integrated Circuit Package Count with Universal Gate ImplementationsNot started yet
Standards Covered
- ELEC-3.3General Certificate of Education Advanced Level (UK A-Level) · Electronics · Year 13 (A2 Level) · Grade 11the use of combinations of one or more types of gate to perform other logic functions including NAND-gate simplification
- ELEC-3.4General Certificate of Education Advanced Level (UK A-Level) · Electronics · Year 13 (A2 Level) · Grade 11logic-system simplification using Boolean algebra, Karnaugh maps and multiplexers
- ELEC-3.5General Certificate of Education Advanced Level (UK A-Level) · Electronics · Year 13 (A2 Level) · Grade 11the design and construction of electronic circuits containing logic gates, with consideration to sourcing, sinking, pull-up and pull-down resistors
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.