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## Related Questions

###### Asked in Computer Programming, Math and Arithmetic

### What is the result of True AND False OR True?

True AND False OR True evaluates to True.
IT seems like it does not matter which is evaluated first
as:
(True AND False) OR True = False OR True = True
True AND (False OR True) = True AND True = True
But, it does matter as with False AND False OR True:
(False AND False) OR True = False OR True = True
False AND (False OR True) = False AND True = False
and True OR False AND False:
(True OR False) AND False = True AND False = False
True OR (False AND False) = True OR False = True
Evaluated left to right gives a different answer if the
operators are reversed (as can be seen above), so AND and OR need
an order of evaluation. AND can be replaced by multiply, OR by add,
and BODMAS says multiply is evaluated before add; thus AND should
be evaluated before OR - the C programming language follows this
convention.
This makes the original question:
True AND False OR True = (True AND False) OR True = False OR
True = True

###### Asked in Math and Arithmetic, Algebra, Geometry

### How do you construct a truth table for parenthesis not p q parenthesis if and only if p?

Assuming that you mean not (p or q) if and only if P
~(PVQ)--> P
so now construct a truth table, (just place it vertical since i
cannot place it vertical through here.)
P True True False False
Q True False True False
(PVQ) True True True False
~(PVQ) False False False True
~(PVQ)-->P True True True False
if it's ~(P^Q) -->P
then it's,
P True True False False
Q True False True False
(P^Q) True False False False
~(P^Q) False True True True
~(P^Q)-->P True True False False

###### Asked in Germany in WW2, Philosophy and Philosophers, Word Brain Teasers

### All parts of a true and false question must be true for the answer to be true?

Yes.
If all the question's parts are true, then the answer is
true.
If all the question's parts are false, then the answer is
false.
If one of the question's parts is false and the rest true, then
the answer is false.
Logically, this is illustrated below using:
A = True, B = True, C = True, D = False, E = False, F =
False
A and B and C = True
D and E and F = False
A and B and D = False
If you add NOT, it's a bit more complicated.
A and NOT(D) = True and True = True
NOT(D) and D = True and False = False
NOT(A) and NOT(B) = False and False = False
Using OR adds another layer of complexity.
A OR NOT(E) = True OR True = True
NOT(D) OR D = True OR False = False
NOT(A) OR NOT(B) = False OR False = False
Logic is easy once you understand the rules.