Prove by truth tables that `-(pvvq)=-p^^-q)`.

Give truth table on NAND gate.

Write the truth table of OR gate.

Write the truth table of AND gate.

If the p^(th) , q^(th) and r^(th) terms of a G.P. are a, b and c, respectively. Prove that a^(q-r) b^(r-p)c^(P-q)=1 .

If pth term of a G.P. is P and its qth term is Q, prove that the nth term is ((P^(n-q))/(Q^(n-p)))^(1/(p-q)) .

If p, q, r are in A.P. while x, y, z are in G.P., prove that x^(q-r).y^(r-p).z^(p-q) =1 .