1. Word cloud

120 seconds

What is a truth table?

2. Slide

60 seconds

Introduction to Truth Tables

Truth tables are diagrams used to show the truth values of logical expressions. The expressions can be composed of variables, logical operators, and constants. Each row in the truth table shows the truth value of the expression for a specific combination of inputs.

3. Slide

60 seconds

introduction to truth tables

A truth table is a type of logical table used to determine the truth value of a logical statement. It consists of columns that show each of the possible combinations of truth values for the statement’s components, and a column that shows the truth value of the statement when the components are combined.

Logic statements consist of propositions, which are simple declarative statements that are either true or false. Propositions are the building blocks of truth tables, and are combined to form logical statements.

A truth table shows the truth values for the statement in each possible combination of truth values for the statement’s components. This allows you to determine the truth value of a statement based on the truth values of its components.

4. Slide

60 seconds

Did you know?

Truth tables can be used to analyze the validity of logical arguments. The truth table for a given logical statement can be found by calculating its Boolean expression. Truth tables can also be used to reduce the complexity of Boolean expressions, making them easier to understand.

5. Open question

180 seconds

Work together in pairs: What is the difference between a tautology and a contradiction in a truth table?

6. Personalised Feedback

360 seconds

What is a truth table and how is it used to analyze logical statements?

7. Open question

180 seconds

Work together in pairs: What is the difference between a conditional statement and a logical statement?

8. Drawings

450 seconds

Brain break: Draw a monkey wearing a space helmet and eating a banana while riding a unicycle backwards

9. Poll

60 seconds

What is a truth table used for?

- To analyze poetry
- To solve complex mathematical equations
- To display all possible combinations of inputs and their corresponding outputs

10. Poll

60 seconds

In a truth table, what does 'T' represent?

- False
- True
- Unknown

11. Poll

60 seconds

How many rows are typically included in a truth table for two input variables?

- 8
- 2
- 4

12. Poll

60 seconds

'AND', 'OR', and 'NOT' are examples of what type of logical operators?

- Arithmetic
- Relational
- Boolean

13. Poll

60 seconds

What is the output when both inputs are true in an AND gate?

- False
- True

14. Poll

60 seconds

What is the number of rows needed for a truth table with three variables?

- 16
- 8
- 3

15. Poll

60 seconds

In logic, what does '∧' represent?

- Logical AND operator
- Logical OR operator
- Negation operator

16. Slide

60 seconds

Let's Create some Truth Tables for 2 variables

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