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F F X Y Z X Y Xyz Xyz Y G G W X Y Z Xy W Z Wx Yz 0 H H X Y X Y X Y Ry B C D Abc C D Ab C Q43873605

Using the postulates of Boolean algebra, prove the followingformulas

(please specify each steps)

f. F(x, y, z) = xy + xyz + xyz = y g. G(w, x, y, z) = (xy + wʼz)(wx + yz) = 0) h. H(x, y) = (x +y)(x + y) = ry i. I(A

f. F(x, y, z) = x’y + xyz’ + xyz = y g. G(w, x, y, z) = (xy’ + wʼz)(wx’ + yz’) = 0) h. H(x, y) = (x +y)(x’ + y’)’ = ry i. I(A, B, C, D) = ABC” + A’C’ D+ AB’C’ + BC’D + A’D = AC” + A’D j. J(x, y, z) = x’Y’z’ + x’y’z + x’yz + xy’z + xyz = x’y’ +z k. K(X,Y,Z) = X’Y’ +Y’Z + XZ + XY +YZ’ = X’Y’ + XZ+YZ’ 1. L(A, B, C, D) = ((A’ + B’)’ + A’B’)(C’D’ +CD)+(AC)’ = A’ +C! + BD Show transcribed image text f. F(x, y, z) = x’y + xyz’ + xyz = y g. G(w, x, y, z) = (xy’ + wʼz)(wx’ + yz’) = 0) h. H(x, y) = (x +y)(x’ + y’)’ = ry i. I(A, B, C, D) = ABC” + A’C’ D+ AB’C’ + BC’D + A’D = AC” + A’D j. J(x, y, z) = x’Y’z’ + x’y’z + x’yz + xy’z + xyz = x’y’ +z k. K(X,Y,Z) = X’Y’ +Y’Z + XZ + XY +YZ’ = X’Y’ + XZ+YZ’ 1. L(A, B, C, D) = ((A’ + B’)’ + A’B’)(C’D’ +CD)+(AC)’ = A’ +C! + BD

Expert Answer


Answer to f. F(x, y, z) = x’y + xyz’ + xyz = y g. G(w, x, y, z) = (xy’ + wʼz)(wx’ + yz’) = 0) h. H(x, y) = (x +y)(x’ + y’)’ = ry …

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