Question

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

Answer 1

Then what is ~q?
If q is false, then ~q is true, ya? :)

Answer 2

truth table might help you get through this one.

Answer 3

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?

Answer 4

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?

Answer 5

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.

Answer 6

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?

Answer 7

Why would the following question be (True ^ True) when there is a not symbol next to q?

Answer 8

Oh I guess I misread that :) lol. Good catch

Answer 9

`(true AND false) AND true`
gave you
`(false) AND true`
which further gave you
`false`

yah that sounds right! :)

Answer 10

Oh no @zepdrix D: right when I needed you most haha

Answer 11

Sorry I left another gal hangin :d gotta keep jumpin back n forth

Answer 12

1: F
2: F
Correct so far?

Answer 13

True table can be a little tricky.
Just need to list every possible combination of true/false for the three letters.

Answer 14

Ummm, ya that sounds right :D

Answer 15

5 minutes? :p oh boy that doesn't give su much to work with lol

Answer 16

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

Answer 17

And if the answer is False ^ False, the answer is False?

Answer 18

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?"

Answer 19

Correct False AND False gives a False result because we need both True to end up with True.

Answer 20

False ^ True => False
True ^ False => False
False ^ False => False
True ^ True => True