Computer Architecture

2. Do the folowing problems a Write the following Boolean expressions in sum of products form: (b + d)la' +b'+c) b. Write the following Boolean expression in product of sums form: a'b +a'c + abc. c. Verify or refute the following Boolean equation: (abd + a'b+b'd+c(c+ ab +bd) - b(a+c)(a'+'+d(b+c) d. Write the truth table for F(a, b, c, d)-m(1, 3, 5,7,8,9,13, 14, 15). e. Convert to simplified sum of product (SOP) form: f. Given the Boolean function F(a, b, c, d) I m(1, 3, 5, 7, 9, 15); d(4, 6, 12, 13) Write simplified product-of-sum form for