2.6 2.7 2.8 Using Boolean algebra write an equivalent expression for XYZ + XYZ+XZW+UXZ+VXZ Apply DeMorgan's Theorem to the following (i) x+y (ii) xy + xz (iii) A+BC (iv) AB+CD Simply the following expressions using Boolean algebra. (i) abc+ abc + abc (ii) (x(xy) (y(y)) (iii) (a+b)(a+b) (iv) f =abc+abc+ (v) f = rst (r+s+t (vi) f = ABC + ABC + ABC + ABC + ABC (vii) f = (b+c)(b+c)+a+b+c Prove that = Prove that X = Obtain the simplified expressions in sum of products for the following Boolean functions- 2.9 2.10 2.11. (a) xy + xyz + xyz (b) b + bc + b (e) D(A+B) + B (C + AD) klm + kmn + klmn + lm (d) AB+BC+BC