Truth Table Tutorial - Understanding IF/THEN Statements in Discrete Mathematics
This tutorial provides a concise overview of two distinct truth tables, focusing on the interpretation of 'IF/THEN' statements, represented by one-way arrows. Read on for a clear explanation.

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2.5M views β’ Mar 26, 2014

About this video
Here is a quick tutorial on two different truth tables.
If there's anyone wondering about the "IF/THEN" statements (the one way arrows), please read below:
Think about the statement "If you get an A on your exam, then I will give you $100". This statement will only be False if I break my promise to you.
Therefore:
- If it's TRUE (you got an A), and it's TRUE (I gave you $100), then it's TRUE (I kept my promise).
- If it's TRUE (you got an A), and it's FALSE (I didn't give you $100), then it's FALSE (I broke my promise).
- If it's FALSE (you didn't get an A), and it's TRUE (I gave you $100), then it's TRUE (I didn't break my promise, I was just feeling sorry for you and felt like being generous).
- If it's FALSE (you didn't get an A), and it's FALSE (I didn't give you $100), then it's TRUE (I kept my promise, you didn't earn the $100 from me)!
If there's anyone wondering about the "IF/THEN" statements (the one way arrows), please read below:
Think about the statement "If you get an A on your exam, then I will give you $100". This statement will only be False if I break my promise to you.
Therefore:
- If it's TRUE (you got an A), and it's TRUE (I gave you $100), then it's TRUE (I kept my promise).
- If it's TRUE (you got an A), and it's FALSE (I didn't give you $100), then it's FALSE (I broke my promise).
- If it's FALSE (you didn't get an A), and it's TRUE (I gave you $100), then it's TRUE (I didn't break my promise, I was just feeling sorry for you and felt like being generous).
- If it's FALSE (you didn't get an A), and it's FALSE (I didn't give you $100), then it's TRUE (I kept my promise, you didn't earn the $100 from me)!
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Published
Mar 26, 2014
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