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GATE | GATE-CS-2009 | Question 24

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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∨Q? 
 

(A)

¬Q?¬P

(B)

P?¬Q

(C)

¬P?¬Q

(D)

¬P?¬Q



Answer: (B)

Explanation:

Here ,Truth table of given B option 

P Q P∨Q ¬Q P?¬Q
T T T T       F T
T F T T     T T
F T T F F T
F F F F T F

P?¬Q = Q’ ⇢ P = (Q’)’ v P = Q v P


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Last Updated : 28 Jun, 2021
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