Digital Logic Design
This chapter focuses on essential prime implicants in digital logic design, illustrating how to identify and simplify logical expressions. Key examples cover various functions including F = XZ + X'Z' + (W'X or W'Z')XZ, presenting essential prime implicants for both given inputs and outputs. Additionally, the chapter discusses transformations from Sum of Products (SOP) to Product of Sums (POS) forms, aiding in the comprehension of circuit minimization. It's a crucial resource for students and professionals seeking to master digital circuit design principles.
Digital Logic Design
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Presentation Transcript
Digital Logic Design chapter 3 (part2) By: Nora Alaqeel
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
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
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
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)
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)
