Boolean Logic Explained Simply
Learn how logic gates turn input conditions into decisions. Build from individual gates to expressions, truth tables and real-world problem statements one clear step at a time.
A logic gate tests a condition and makes a decision.
Topic 10 begins with the behaviour of each gate, then connects diagrams, expressions, truth tables and real-world statements into one consistent mental model.
Your Topic 10 learning journey
Begin with why gates are used, then build towards complete Boolean logic problems.
The Role of Logic Gates
See how logic gates make decisions by testing conditions and producing one clear output.
Open lesson →NOT Gate
Reverse an input so 0 becomes 1 and 1 becomes 0.
Open lesson →AND Gate
Produce an output of 1 only when both inputs are 1.
Open lesson →OR Gate
Produce an output of 1 when either input, or both inputs, are 1.
Open lesson →NAND Gate
Apply AND first, then reverse the result using NOT.
Open lesson →NOR Gate
Apply OR first, then reverse the result using NOT.
Open lesson →XOR Gate
Produce an output of 1 when exactly one input is 1.
Open lesson →Logic Expressions
Translate gate diagrams into clear Boolean expressions using named inputs and outputs.
Open lesson →Representing Truth Tables
Test every possible input combination to reveal the output of a logic system.
Open lesson →Representing Logic Expressions
Represent a multi-gate diagram as one complete Boolean expression.
Open lesson →Representing Problem Statements
Identify clue words in a scenario and select the gate that matches the required behaviour.
Open lesson →