Q7. Let A = [(p ^ ~q) → (~p V ~q)] → p. Complete the truth table below and determine statement A is a tautology, contingency or contradiction. a) p^ ~q ~p V ~q (p^~q) → (~p V ~q) (p ^ ~g) → (~p V ~q)] + p FF FT TF T T b) Obtain the Principal Disjunctive Normal Form (PDNF) and Principal Conjunctive Normal Form (PCNF) of A and ~A by using the above truth table.

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Subject: Discrete Mathematics

Q7.
Let A = [(p ^~q) → (~p V ~q)] → p.
а)
Complete the truth table below and determine statement A is a tautology,
contingency or contradiction.
p^~q ~pV~q
(p ^ ~q) → (~p V ~q)
[(p ^ ~q) → (~p V ~q)] ++ p
b.
FF
FT
TF
TT
b)
Obtain the Principal Disjunctive Normal Form (PDNF) and Principal
Conjunctive Normal Form (PCNF) of A and ~A by using the above truth table.
Transcribed Image Text:Q7. Let A = [(p ^~q) → (~p V ~q)] → p. а) Complete the truth table below and determine statement A is a tautology, contingency or contradiction. p^~q ~pV~q (p ^ ~q) → (~p V ~q) [(p ^ ~q) → (~p V ~q)] ++ p b. FF FT TF TT b) Obtain the Principal Disjunctive Normal Form (PDNF) and Principal Conjunctive Normal Form (PCNF) of A and ~A by using the above truth table.
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