1. Using Boolean algebra, DeMorgan's theorem or Karnaugh mapping to simplify the following expressions: (a) a + (abcdef g) (b) c(a + b + c+...) (c) ac + āb + bc
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- Boolean Algebra Simplify the following functions to a minimum number of literals. Show step-by-step simplification and indicate the theorem/postulate used in each step. Draw the logic diagram of each of the simplified functions. (A’ + C)(A’ + C’)(A + B + C’D)9. Show that De Morgan's Law applies to Boolean algebra, by showing that for all x and y, (x ⋁ y)’ =x’ ⋀ y’ dan (x ⋀ y)’ = x’ ⋁ y’Boolean Algebra Simplify the following functions to a minimum number of literals. Show step-by-step simplification and indicate the theorem/postulate used in each step. Draw the logic diagram of each of the simplified functions. A’C’ + ABC + AC’
- Boolean algebra Simplify the following functions to a minimum number of literals. Show step-by-step simplification and indicate the theorem/postulate used in each step. Draw the logic diagram of each of the simplified functions. A’B (D’ + C’D) + B(A + A’CD)Simplify the Boolean function F(w,x,y,z) = (0,1,2,4,5,6,8,9,12,13,14)Simplify the expression using Boolean algebra theorem and postulates: F=(X+Z')(Z+WY)'+(VZ+WX')(Y+Z)'.
- Simplify the below expressions a) By using Boolean algebra b) By using Karnaugh maps. i) z=xy+xy' ii) z= x+xyBoolean Algebra Simplify the following functions to a minimum number of literals. Show step-by-step simplification and indicate the theorem/postulate used in each step. Draw the logic diagram of each of the simplified functions. ABC’D + A’BD + ABCDConsider the Boolean expression u = wx + yz + wx'z'+w'y (a) Draw the Karnaugh map for u. (b) Use the map in part (a) to obtain the Karnaugh map for u'. (c) Express u' as a minimal sum of products. (d) Hence design a simple logic network for u'.