`(p ^^ ~q) ^^ (~p ^^ q)` is a

If p and q and q are two statements , prove that (i) ~( p vee q) -= (~p) ^^ ( q) " " (ii) ~( p ^^ q) = (~p) v(~q)

Show that ~(p harr q) -= ( p ^^ ~q) vv(~p ^^q) .

Show that ~(p harr q) -= ( p ^^ ~q) vv(~p ^^q) .

Show that ~(p harr q) -= ( p ^^ ~q) vv(~p ^^q) .

Using the truth table, prove the following logical equivalence : p hArr q -= (p ^^ q) vv(~p ^^~q) .

P ** q = p^2 - q^2 p % q = p^2 - q^2 p $ q = p^2 + q^2 p @ q = pq + p + q p Delta q = Remainder of p/q p © q = greatest integer less than or equal to p/q . If p = 11 and q = 7 , then the value of (p ** q) @ (p $ q) is: