Can Some One Explain to Me About Truth Tables?

Question

I DONT UNDERSTAND HOW TRUTH TABLES WORK AND I HAVE A QUIZ TOMORROW SO CAN SOME ONE EXPLAIN TO ME PLEASE THANK YOU

Answer 1

Okay, I think the easiest way to understand truth tables is to think of them as individual questions. Answer the questions and then take the answers together to get your overall answer.

Remember, if you answer all the questions as true, or yes, or however else in the positive. The answer will be true.

Same goes for false. If you answer no all along, the answer is false.

Here's an example of those:

Grass is green and roses are red. "Grass is green" is true and "roses are red" is true, so this statement is "TRUE".

Nebraska is an island and grass is purple. Since both statements are false, the whole thing is false.

Now, people get tangled when the statements start changing.

How about this one:

Grass is green and Nebraska is an island. True + False = False

What if the question involves OR? Remember AND means BOTH have to hold, but OR means exactly that: either OR.


So:

Grass is green OR roses are red: True or True = True
Grass is green OR Nebraska is an island = True. Why not false? Because a true always overrides a false.

To summarize:

T and T = T
T and F = F
F and T = F
F and F = F

T or T = T
T or F = T
F or T = T
F or F = F

Good luck!

Mysstere

Answer 2

a truth table and be applied to a lot of situation.

example: AND table
True AND True = True.
True AND False = False
False AND True = False
False AND False = False

True, and false can also interpret as +ve and -ve respectively using XOR table.

example:
a-b, we can say its +ve plus -ve b
a+b, we can say its +ve a plus +ve b,

but if we think deeper, a+b can be express as a - (-ve b )
you can see 2 negatives sign together.

XOR table is +ve when 2 signs are same, -ve when signs are different.
since 2 -ves are together, we can make it become +ve, then
a - (-ve b) = a plus +ve b.

Just one example for using Truth Table. One more example when applied in logic.

Lets x be a bad man, so its a negative thing.
Lets y be a bad word so its a negative thing.

but 2 -ves make it positve, how can we explain this situtation?
+ve can mean something normal,
A bad man said a bad word is normal. This logic is true.
So, 2 -ves are become positive.

Another example:
Let x be a good man ( so, its positive )
Let y be a bad word (and its negative )

A good man says a bad word ( +ve, -ve ) become negatives.
So, a good man says something bad is abnormal.

Truth table mostly applied in logics, but also in math for restricted resources. mean if i can have only +ve register, how can i compute negatives.

Cheers,

Answer 3

A truth table is a mathematical table used in logic — specifically in connection with boolean algebra, boolean functions, and propositional calculus — to compute the functional values of logical expressions on any of their functional arguments, that is, with respect to the various possible combinations of values that their logical variables may take. In particular, truth tables can be used to tell whether a propositional expression is true for all legitimate input values, that is, valid.

Truth tables are used to compute the values of propositional expressions in an effective manner that is sometimes referred to as a decision procedure. A propositional expression is either an atomic formula — a propositional constant, propositional variable, or propositional function term (for example, Px or P(x)) — or built up from atomic formulas by means of logical operators, for example, AND (), OR (), NOT (). For instance, is a propositional expression.

The column headings on a truth table show (i) the propositional functions and/or variables, and (ii) the truth-functional expression built up from those propositional functions or variables and operators. The rows show each possible valuation of T or F assignments to (i) and (ii). In other words, each row is a distinct interpretation of (i) and (ii).

Truth tables for classical logic are limited to boolean logical systems in which only two logical values are possible, false and true, usually written F and T, or sometimes 0 or 1, respectively.

Answer 4

i am not sure so dont use my answer ok they are just like times tables but theeeeey dont tell the truth like watch like ill show you ok like:5x3=17 like they lied like they dont tell the truth!

Answer 5

Isuggest you go to the following web site:
"http;//www.math.csub..edu/notes/logic/lognot/node1.html".

It would take too much space to cover the subject here.

Answer 6

wtf is a truth table??

wow they must be teaching really stupid stuff in school these days.