SHS2 Robotics · Semester 2, Week 1
Digital and Analogue System Design
Lesson notes
Learning Objectives
Indicator: 2.2.1.LI.1 - Explain and apply Boolean Algebra in the definition and design of digital systems.
By the end of the lesson, learners can:
- State the basic laws and identities of Boolean Algebra (commutative, associative, distributive, identity, and complement laws) and give a truth table for each of the basic logic gates: AND, OR, NOT, XOR, and XNOR.
- Translate a simple real-world automation condition into a Boolean expression using variables and the operators AND, OR, and NOT.
- Simplify a given Boolean expression using Boolean Algebra laws (not Karnaugh Maps, which come next week) and verify the simplification by comparing truth tables.
- Draw a logic circuit schematic from a given Boolean expression using standard logic gate symbols.
- Construct and test a simple combinational logic circuit on a breadboard using physical logic gate ICs, and present the result to the class.
This lesson opens the topic of Digital and Analogue System Design and builds directly on the control systems ideas from earlier in the course. It deliberately stops at Boolean simplification by algebraic laws. Karnaugh Maps are scheduled for Semester 2, Week 2, and soldering/PCB work is scheduled for Semester 2, Week 4, so neither is introduced here.
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Sign in with phone numberCurriculum details
- Strand
- Robot Design Methodologies (Strand 2)
- Sub-strand
- Digital and Analogue System Design (2.1)
- Content standard
- 2.2.1.CS.1 - 2.2.1.CS.1 Demonstrate Understanding of Digital Systems and Logic Design principles. 2.2.1.LO.1 Use boolean algebra to define automation solutions and apply Karnaugh Maps to simplify and optimise boolean-defined combinational digital systems.
- Indicator
- 2.2.1.LI.1 - Explain and apply Boolean Algebra in the definition and design of digital systems.
- Suggested placement
-
Semester 2, Week 1
(Week 21 of the year)
Our suggestion, laid out in curriculum order across three terms of twelve weeks. NaCCA does not fix the week, so follow your school's scheme of learning.
- Curriculum reference
- NaCCA curriculum document, p. 103
Exemplars (from the NaCCA curriculum)
Initiating Talk for Learning: Lead a discussion to walk learners through basic logic gates -- AND, OR & NOT, XOR, XNOR and their application in the design methodologies and simplification for combinational circuit designs using Boolean Algebra. Project-Based Learning: Work independently or in small teams to design schematics of simple logic circuits using logic gates and share them with the class for comments. Assessment (2.2.1.AS.1). The document marks these depth-of-knowledge levels for this indicator: Level 1 Recall; Level 2 Skills of conceptual understanding; Level 4 Extended critical thinking and reasoning. Teaching and Learning Resources: - Real circuit board containing various - Gates - Breadboards - Electronic kit - Flip boards - Graphs - Online materials - Computers with required information