1. Using Truth Table prove that: a) ( AB) = AB' + A'B b) (AEB) = A'B' + AB 2. Simplify the following expression by using the simplification theorem. You should be able to simplify this to two product terms. F = AB' + ABC' + AB'C + AC'D Hints: You may have to use multiple simplification theorems. Try one at a time. 3. Use De Morgan's Theorem to obtain SOP expression for each of the following: a) (IX' + 2)(xy' y b) Lisy (V+z) 4. Given 4 input variables: A, B, C and D. Find out the algebraic expressions of the following minterms and maxterms. a) m b) Mu c) ms d) M e) mus UO DOOR 0 O 5. Given the following Truth Table. A B F 0 1 0 1 0 1 0 D 0 1 1 1 1 0 0 0 1 0 1 0 1 1 1 1 1 1 1 a) Determine the minterm expansion for the function F b) Determine the maxterm expansion for the function F c) Simplify the mioterm expansion to get the minimum SOP. (Use Simplification theorem) 6. Using the following Truth Table, (a) Find out the maxterm expansion for the function A B C F 0 0 0 0 0 0 1 1 0 1 0 1 0 1 1 1 1 0 0 1 0 1 0 1 1 0 0 1 1 1 1 And then simplify the maxterm expansion to get a minimum POS. (Use simplification theorems) A 0