GATE | GATE-CS-2009 | Question 24
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 |
P |
¬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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