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Digital Logic Design

Digital Logic Design. chapter 3 ( part2). WX. 1. 1. 1. 1. 1. 1. X. 1. 1. W. 1. 1. Z. Question 3.9 (a). W Z. ESSENTIAL Prime Implicants :. Y. XZ , XZ. Prime Implicants :. WX , WZ. XZ. F = XZ + X’Z’ + (W’X or W’Z’). X Z. ABD. 1. 1. 1. 1. 1. B. 1. 1. A. 1. 1.

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Digital Logic Design

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  1. Digital Logic Design chapter 3 (part2) By: Nora Alaqeel

  2. WX 1 1 1 1 1 1 X 1 1 W 1 1 Z Question3.9 (a) WZ ESSENTIAL Prime Implicants: Y XZ , XZ Prime Implicants: WX , WZ XZ F = XZ + X’Z’ + (W’X or W’Z’) XZ

  3. ABD 1 1 1 1 1 B 1 1 A 1 1 1 D Question3.10 (C) CD ESSENTIAL Prime Implicants: C AC, BD, CD, ABD (all) F = AC + B’D’ + CD + A’BD AC BD

  4. YZ 1 1 1 0 0 0 X 1 0 W 1 1 Z Question3.12 (a) F’ = YZ + XZ’ + XY + WX’Z Y XZ 0 1 F = (Y’+Z’) (X’+Z)(X’+Y’) (W’+X+Z’) 0 0 0 0 XY WXZ

  5. Question3.13 (a) F = X’Z’ + Y’Z’ + YZ’ + XY F = (0 , 2 , 4 , 6 , 7) Y Y 1 1 0 1 1 0 0 0 X X 0 1 1 1 0 1 1 1 Z Z F = Z’ + XY (SOP) F’ = Y’Z + X’Z F = (Y+Z’) (X+Z’) (POS)

  6. Question3.15 (a) Y X 1 1 X X X 1 1 1 Z F = 1 F = (0,1,2,3,4,5,6,7)

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