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Truth Tables MATH HELP

the '~' means 'not'

so if q is T, then ~q is F

the AND operator (the ^) is only true when both values are true (ie, when they're both T and T).
 
The last two colums mean not q and p AND (not q)

So on the second line, q is False, so "not q" must be True.
Then, p AND (not q) is done by substitution. p is T, we know that "not q" is F, so we're left to evaluate the expression T AND F - which evaluates to F.
 
Originally posted by: her209
Wow... this is fundamental logic. How can anyone not understand this?
Click to expand...

Give him a break, everyone has to learn it sometime. Hopefully he's no older than 13 though.
 
Well, if q is false, then what would ~q be? For that, you would have to know what the operator ~ means. For the next column, if you have that p is true and ~q is false, then use the rules for the operation ^ to determine whether p^~q is true or false.

-Tom
 
Originally posted by: thescreensavers
Originally posted by: hscorpio
http://en.wikipedia.org/wiki/Truth_table
Click to expand...

I looked at it it confused me more.Like How exactly step by step do you solve 10
Click to expand...

Did you understand the "~q" column at least? You just reverse whatever q is. The "^" column is a little harder but still very easy once you know what AND is. Think of it as two switches connected in series to a light bulb. Both switches have to be on (true) in order for the lightbulb to be on(true).
 
Originally posted by: thescreensavers
waa ;scraches head: I dont get any of waht your all saying
Click to expand...

Let's forget about filling in the blank spots in the truth table for now. Do you at least understand the meanings of the things that are already there?

-Tom
 
Originally posted by: thescreensavers
waa ;scraches head: I dont get any of waht your all saying
Click to expand...

Directions:
In each row...Use the values of the first 2 columns, to figure out the values for the second 2 columns.

Example Row 1
given: P is true, Q is true
What is (not Q)? well if Q is true, then the opposite of Q is False. So (not Q) is false.

What is P and (not Q)? Well if we just determined that (not Q) is false.
Hopefully you remember the basic and table...
T + T = T
F + T = F
T + F = F
F + F = F

So then P AND False is False.

So ROW 1 would look like
[T][T][F][F]
 
Think of p, q and r as parts of a statement. In order to test the TRUTH of the statement we need to evaluate the truth of the parts.

You also need to understand the "and" and "or" operators. Two atatements joined by the "and"(/\) operator need to both be true for the statement to be true. In an "or"(\/) statement only one part needs to be true for the statement to be true.

For example:

If p is true
q is true
r is false

Then
p /\ q = True /\ True
=True

p /\ r = True /\ False
=False
 
Here I drew an awesome picture explaining it. Truth

That plus some of the detailed replies given to you here should do it. If you still don't get it then I think you are just not trying or are too frustrated or something. This is pretty basic logic that you probably know but are letting the symbols confuse you.
 
so no one can walk me through number 10 click the link and look at question 10. Since you all know it so well You can walk me through it.

😛 I am screwed for the test today

BTW: thanks every one for trying to help me. maybe I am just stupid. Or its really basic and I cant see it b/c of this truth table that complicates things.

BTW2: Why would I need to learn this for what job requires knowing a truth table.
 
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