4. Convert the expression, a'c'd+a'cd' + bc to POS form using Boolean Algebra techniques. [Hint: use and prove the theorem ab + a'c = (a+c)(a +b) proven in TW2ABCD problem 6d] 5. For the function f(x,y,z)=(2,3,5,6,7) a. Show the truth table b. Show the algebraic expression in the sum of minterm form c. Derive a minimum SOP expression using Boolean Algebra techniques. d. Show the expression forf (complement of f) as sum of minterms in shorthand notation. e. Show the algebraic expression for f' as the sum of minterms. f. Use De Morgan's Theorem to derive fas a product of maxterms using your result from step e. g. Derive a minimum POS expression using Boolean Algebra techniques. h. Sketch the logic diagram for your expressions from step c and step g