Line 32: Line 32:
 
==={{Template:Author|Happy Mittal|{{mittalweb}} }}===
 
==={{Template:Author|Happy Mittal|{{mittalweb}} }}===
  
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  
+
If we compare column of $P□ Q$ in table with $P ∨ Q$, we need T in $3^{rd}$ row of table and F in the fourth row, and for that we need  
 
$\neg Q$ instead of $Q$. So $P &or; Q$ is equivalent to $P□\neg Q$, and therefore, option <b>(B)</b> is correct.
 
$\neg Q$ instead of $Q$. So $P &or; Q$ is equivalent to $P□\neg Q$, and therefore, option <b>(B)</b> is correct.
  

Revision as of 19:52, 14 July 2014

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 $P ∨ Q$?

(A) $\neg Q □ ¬P$

(B) $P□\neg Q$

(C) $\neg P□Q$

(D) $\neg P□ \neg Q$

Solution by Happy Mittal

If we compare column of $P□ Q$ in table with $P ∨ Q$, we need T in $3^{rd}$ row of table and F in the fourth row, and for that we need $\neg Q$ instead of $Q$. So $P ∨ Q$ is equivalent to $P□\neg Q$, and therefore, option (B) is correct.




blog comments powered by Disqus

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 $P ∨ Q$?

(A) $\neg Q □ ¬P$

(B) $P□\neg Q$

(C) $\neg P□Q$

(D) $\neg P□ \neg Q$

Solution by Happy Mittal[edit]

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 $\neg Q$ instead of $Q$. So $P ∨ Q$ is equivalent to $P□\neg Q$, and therefore, option (B) is correct.




blog comments powered by Disqus