Digital Electronics · SHS2 Physics

Lesson notes

Learning Objectives

Indicator: 2.3.3.LI.3 - Describe and explain sum of product in Boolean notation.

By the end of the lesson, learners can:

Write Boolean notation expressions for NOT, AND, OR, NAND, and NOR gates using their correct symbols.
State the two steps involved in deriving a Sum of Products (SOP) expression from a truth table (identify rows with output 1, then AND the inputs and OR the terms).
Convert a truth table with up to three inputs into a Sum of Products Boolean expression.
Explain why the Sum of Products form is called “sum of products” by identifying the AND terms (products) and the OR combination (sum).
Design a simple decision-making circuit from a given truth table by writing the SOP expression and sketching the corresponding logic gate circuit.

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Curriculum details

Strand: Electric Field, Magnetic Field and Electronics (Strand 3)
Sub-strand: Digital Electronics (3.3)
Content standard: 2.3.3.CS.2 - Demonstrate the understanding of logic gates and describe their output in a digital system. 2.3.3.LO.2 Distinguish between the working operations of analogue and digital systems as well as design and build a decision-making circuit.
Indicator: 2.3.3.LI.3 - Describe and explain sum of product in Boolean notation.
Suggested placement: Semester 2, Week 14 (Week 34 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. 136

Exemplars (from the NaCCA curriculum)

Talk for learning: Use Boolean notation to write expressions for NOT, AND, OR, NAND and NOR gates
Experiential learning: Learners in pairs, convert truth tables (up to three inputs) into a sum of product Boolean expression.
Explore contributions of vulnerable groups in the class.
Assessment (2.3.3.AS.3). 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:
- Laptop/Computer
- Projector
- Internet
- Simulation lab software
- Science kit set