Use the theorems of switching algebra to simplify each of the following logic functions: (a) F W X Y Z (W X Y Z'+W X Y Z+W X Y Z+W.X.Y'.Z) (b) F A B A B C D+A B D E' +A B C' E+C' D.E
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- a b c f 0 0 0 0 0 1 0 1 0 0 1 1 1 0 0 1 0 1 1 1 0 1 1 1Simplify the following expressions using Boolean Algebra:Z = (C + D)’ + A’ C D’ + A B’ C’ + A’ B ‘C D + A C D’10 The simplified Boolean function in SoP, which is obtained from F (A,B, C) = N (2, 3, 4, 5, 6, 7) is: O AB + A'B' O A'B'C' O A'B' O AB O None
- Question 8: Draw the circuit that implements each of the following equations: B + AC' (W + Y)' + X' (B + A'D) + (BC)' (W' + XY)' + (VWX' + Z)'Create a non-abbreviated logic diagram for the following Boolean Expressions. You can use all gates. • a'b+ ab' ((ab)'(b'c) + a'b'c') (a +b)(a' + c)(b' + c') (a e b+b e d)Implement the logic function shown below using: F (A, B, C, D, E) = Em (0,5,7,11,15,16,18,25,29) 1- 16*1 MUX 2- Five 4*1 MUX 3- Two 8*1 MUX & one 2*1 MUX
- c) As a student of digital logic design, Show the corresponding k-map for the canonical sum-of-products expression: T = A.B.C.D+ A.B.C.D+ A.B.C.D+ A.B.C.D+ A.B.C.D+ A.B.C.D+ A.B.C.D+ A.B.C.DGiven the following logic function: F = x’y’z’ + xyz + xy’z + x’yz’ Simplify the logic function. Draw the logic diagram after simplification.12 The simplified Boolean function in SoP, which is obtained from F (A,B, C) = 7 (2, 3, 4, 5, 6, 7) is: AB + A'B' None A'B'C' АВ A'B'