Problem 1. (10 Points) Simplify the following expressions by means of Boolean algebra. That is, do not use Karnaugh maps. a. F = ABC + ABC + ABC + ABC b. G = ABC + BC + ABC + ABC + ABC + ABC Problem 2. (5 Points) Convert the following expression to sum-of-products form. F = (A + B)(B+C)( + C) Problem 3. (5 Points) Convert the following expressions to product-of-sums form. F = AB+ B + B C Problem 4. (10 Points) Plot the following function on a Karnaugh map and simplify it. F = A + BC + D