(,Z + A)(,+)x +,x () 27. Show that the dual of the exclusive-OR is equal to its complement. 28. Simplify the following expressions and implement them with two-level NAND gate circuits: (a)AB'+ ABD + ABD'+ A'CD'+ ABC (b) BD + BCD' + AB'C'D' 29. Simplify the following functions and implement them with two-level NOR gate circuits: (a) F=wx' + y'z' + w'yz' (b) F(w.x,y,z) ={(5, 6, 9, 10) 30. Simplify the following Booloan functions / expressions using Karnaugh Maps: (a) F(x, y, z) = E(0, 2, 3, 4, 5) (b) F(x, y, z) E (3, 5, 6, 7) (c) AB+A'B'C'+A'BC' (d) F(w, x, y, z) = > (0,1, 2. 4, 5, 7, 11, 15) 31. Simplify the following Boolean functions in (i) POS (ii) SOP form (a) F(w, x, y, z) =E(0,2, 5,6, 7, 8, 10)

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