8. Prove the following property of Boolean algebras. Give a reason for each step. (Hint: Remember the b. Prove that the commutative, associative, and distributive properties hold for both + and # . c. Find the value of the 0 element and the 1 element, then prove properties 4 and 5 for both + and # . uniqueness of the complement.)

(x + y)? = x? # y? (x # y)? = x? + y? (De Morgans laws)