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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