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Which one of the following is not a contradiction? `[~ p^^(pvv~ q)]^^q` b. `(~ p^^q)vvp` c. `[(pvecq)vec]^^~ p` d. `(~ qvec~ p)harr(pvecq)`

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prove that (p^^q) ^^~(pvvq) is a contradiction.

~ [ ~ p ^^ ( p harr q)] -=

Construct the switching circuit for each of the following statements : (1) (p^^q)vv(~p)vv(p^^~q) (2) (p^^q^^r)vv[~pvv(^^~r)] (3) [pvv(~p^^q)]vv[(~q^^r)vv~p]

Write the negation of each of the following statements (1) p^^(qtor) (2) ~pvv(qto~r) (3) (~pvv~q)^^(p^^~q) .

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7. Let A= {p, q, r}. Which of the following is an equivalence relation on A?(a) R, = {(p, q), (q, r), (p, r), (p, q)} (b) R2 = {(1,9).(,p), (r,r). (9,7)} (c) Rz = {(p, p), (q,9), (r, r), (p, q)} (d) one of these

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Which of the following is false? (p=>q)hArr(~ a=>~ p) b. pvv(~ p) is a tautology c. ~(~ p)hArr(~ q=>~ p) is a tautology d. p^^(~ p) is a contradiction

Match the following column s: Column-I|Column-II Negation of (~ pvecq) is|p. [~(p v q)]^^[p v(~ p)] Negation of (pharrq) |q.(p^^~ q)vv(~ p^^q) Negation of (pvvq)i s |r.~ p^^~ q pharrq is equivalent to|s.~ p^^~ q

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