Arjun Suresh (talk | contribs) (Created page with "The binary operation □ is defined as follows {| class="wikitable" ! P ! Q ! P□Q |- | T | T | T |- | T | F | T |- | F | T | F |- | F | F | T |}") |
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+ | <b>(A) </b>¬Q□¬P | ||
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+ | <b>(B) </b>P□¬Q | ||
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+ | <b>(C) </b>¬P□Q | ||
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+ | <b>(D) </b>¬P□¬Q | ||
+ | ==={{Template:Author|Happy Mittal|{{mittalweb}} }}=== | ||
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+ | If we compare column of $P□Q$ in table with $P ∨ Q$, we need both $F$ in $3^{rd}$ row of table, and for that we need | ||
+ | $¬Q$ instead of $Q$. So $P ∨ Q$ is equivalent to $P□¬Q$, and therefore, option <b>(B)</b> is correct. | ||
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+ | {{Template:FBD}} | ||
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+ | [[Category: GATE2009]] | ||
+ | [[Category: Graph Theory questions]] |
The binary operation □ is defined as follows
P | Q | P□Q |
---|---|---|
T | T | T |
T | F | T |
F | T | F |
F | F | T |
(A) ¬Q□¬P (B) P□¬Q (C) ¬P□Q (D) ¬P□¬Q
If we compare column of $P□Q$ in table with $P ∨ Q$, we need both $F$ in $3^{rd}$ row of table, and for that we need $¬Q$ instead of $Q$. So $P ∨ Q$ is equivalent to $P□¬Q$, and therefore, option (B) is correct.
The binary operation □ is defined as follows
P | Q | P□Q |
---|---|---|
T | T | T |
T | F | T |
F | T | F |
F | F | T |
(A) ¬Q□¬P (B) P□¬Q (C) ¬P□Q (D) ¬P□¬Q
If we compare column of $P□Q$ in table with $P ∨ Q$, we need both $F$ in $3^{rd}$ row of table, and for that we need $¬Q$ instead of $Q$. So $P ∨ Q$ is equivalent to $P□¬Q$, and therefore, option (B) is correct.