Q. The negation of is
Solution:
Truth table
p
q
F
F
T
T
T
T
T
T
T
T
T
F
F
F
T
T
F
T
T
F
F
F
T
T
F
F
T
F
F
T
F
F
T
T
F
F
F
T
T
T
T
F
F
T
T
T
T
F
F
T
F
F
Here, we observe that the truth value of column and are same.
Hence,
| p | q | |||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| F | F | T | T | T | T | T | T | T | T | T | F | F |
| F | T | T | F | T | T | F | F | F | T | T | F | F |
| T | F | F | T | F | F | T | T | F | F | F | T | T |
| T | T | F | F | T | T | T | T | F | F | T | F | F |