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Boolean Algebra and Logic Gates

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Boolean Algebra and Logic Gates
Logic Gates Worksheet

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Logic Gates Worksheet

Mixed practice on gates, truth tables, circuit expressions, Boolean laws and scenarios.

About This Worksheet

Draw every truth table and circuit on paper. Label every gate output, and check each simplification with a truth table.

Section A — Gates

Practice

Gate outputs

Try each one on paper.

1.
$A 3-input AND gate has inputs 1, 1, 0. Output?$
2.
$A NOR gate has inputs 0, 0. Output?$
3.
$An XOR gate has inputs 0, 1. Output?$
4.
$Which gate is 0 only when all its inputs are 1?$

Section B — Circuits and Expressions

Practice

Write the expression and the truth table

Try each one on paper.

1.
$A NOT gate on B feeds an AND gate with A. That output and C go into an OR gate.$
2.
$A XOR B feeds an AND gate with C.$
3.
$Draw the circuit for X = A \cdot B + C .$

Section C — Simplify and Prove

Practice

Simplify, naming each law; then prove with a truth table

Try each one on paper.

1.
$A \cdot B + A \cdot B$
2.
$(A + B) \cdot (A + C) \cdot A$
3.
$A \cdot B$
4.
$A \cdot B + A \cdot B + B \cdot C$

Section D — Scenario

Practice

A smart light

Try each one on paper.

1.
$A garden light G turns on when it is dark (D = 1 when light level is below 50 lux) and motion is detected (M), or when the owner flips a manual switch (S). Write the expression.$
2.
$Complete the truth table (inputs D, M, S).$
3.
$How many gates does the circuit need?$

Take this with you

Before you go on

$Label every gate output; build truth tables column by column.$
$Name each law as you simplify; always prove with a truth table.$
$Scenario: inputs with thresholds \to table \to expression \to circuit.$

Previous· From a Real Problem to a Circuit Next· Logic Practice Paper

More lessons in Boolean Algebra and Logic Gates · Next: Logic Practice Paper · Previous: From a Real Problem to a Circuit