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Lukecrayonz

  • one year ago

If p is true, q is false, and r is false, what is the vaue of (p ^ ~q) ^ r

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  1. zepdrix
    • one year ago
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    Then what is ~q? If q is false, then ~q is true, ya? :)

  2. zepdrix
    • one year ago
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    truth table might help you get through this one.

  3. Lukecrayonz
    • one year ago
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    I'm trying to help my friend with this but I honestly have never done this, I understand that it is TTF but what makes the final answer true or false?

  4. Lukecrayonz
    • one year ago
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    Such as the next question: if p is true, q is true, and r is true, then what is the value pf (p ^ ~q) ^ r, it would be true, false, true but what would the answer be? True because there are two truths and one false?

  5. zepdrix
    • one year ago
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    Umm well if you start in the brackets..\[\large\rm (True\wedge True)\wedge False\]True AND True gives us True. `And` requires that both be true in order to get a true result.\[\large\rm (True)\wedge False\]Again we have AND which is requiring BOTH to be true :O So we get a false as our final result since the requirement wasn't met.

  6. Lukecrayonz
    • one year ago
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    Hmm I was wondering what the brackets meant lol. So for the following question I posted: (true and not true) and true (True and false) would equal out to be false (false) and True would then be false?

  7. Lukecrayonz
    • one year ago
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    Why would the following question be (True ^ True) when there is a not symbol next to q?

  8. zepdrix
    • one year ago
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    Oh I guess I misread that :) lol. Good catch

  9. zepdrix
    • one year ago
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    `(true AND false) AND true` gave you `(false) AND true` which further gave you `false` yah that sounds right! :)

  10. Lukecrayonz
    • one year ago
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    Oh no @zepdrix D: right when I needed you most haha

  11. zepdrix
    • one year ago
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    Sorry I left another gal hangin :d gotta keep jumpin back n forth

  12. Lukecrayonz
    • one year ago
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    1: F 2: F Correct so far?

  13. zepdrix
    • one year ago
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    True table can be a little tricky. Just need to list every possible combination of true/false for the three letters.

  14. zepdrix
    • one year ago
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    Ummm, ya that sounds right :D

  15. zepdrix
    • one year ago
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    5 minutes? :p oh boy that doesn't give su much to work with lol

  16. Lukecrayonz
    • one year ago
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    So basically anytime there is a false such as ~true which would be false ^ (true) So the line would be False ^ True its always false since I guess the false would overpower the true? Lol

  17. Lukecrayonz
    • one year ago
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    And if the answer is False ^ False, the answer is False?

  18. zepdrix
    • one year ago
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    It's not so much that it "overpowers" it. It's the fact that `AND` is a very strict requirement. `AND` is asking the question "ARE BOTH OF THESE THINGS TRUE?"

  19. zepdrix
    • one year ago
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    Correct False AND False gives a False result because we need both True to end up with True.

  20. zepdrix
    • one year ago
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    False ^ True => False True ^ False => False False ^ False => False True ^ True => True

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