1) Prove the following, using Boolean Algebra Theorems ab + bc + ab + bc = 1 2) Prove, using Boolean Algebra theorems, that the complement of XOR gate is XNOR gate (Hint: Prove that AB + AB = AB + AB by using De-Morgan's theorem) 3) Draw the K-Map for the following Boolean function. Obtain the simplified Sum of Products (SOP) expression, using the K-Map minimization procedure. f(abcd) = m(1,2,3,5,7,9,11,13)