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The binary operation □ is defined as follows

 P Q P □ Q T T T T F T F T F F F T

Which one of the following is equivalent to $P \vee Q$?

1.    $\neg Q □ \neg P$
2.    $P□\neg Q$
3.    $\neg P□Q$
4.    $\neg P□ \neg Q$
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Hint --> Just obtain Sum of Product expression from there answer becomes trivial.

Answer is B because the truth values for option B is same as that of P "or" Q.

The given truth table is for $Q \implies P$ which is $\bar Q+P$.

Now, with A option we get $\bar{ \bar{Q}}+P = P + Q$
selected by
(a) option is Q' + P which is false

(b) is right one

Yes @NItin answer is b) . It can be solved by doing mapping and then using implication as P□ Q = Q---->p

@Arjun Sir please explain the question ?
ans is 'c' ,    given operation in the truth table is implication ,  Q---->P .    option c is equivalent to P+Q.
Hello set2018

Question is , there is some operator $\square$ , for which truth table is given , like when first operand is T and second operand is T , o/p will be T. When first operand is T and second is F , o/p will be T...as so on..now just on the bases of this truth table , you have to find truth tabes for Q'$\square$P' , P$\square$Q' , P'$\square$Q , P'$\square$Q' ,now compare those truth tables with truth table for P∨Q , see which one exactly matches with that one.

Here (P □ Q ) is equivalent to (Q-->P) so by this (P v Q) is equivalent to (P□¬Q).

So the ans is (B) P□¬Q

+1 vote

The given truth table is of the form P ⇐ Q which is Q'+P.

and option A satisfies that as Q' ⇐ P' is Q' + P.
Answer is C as □ is equal to implication .On applying implication in C we get P or Q.
We have to find P V Q.