Given the function F(X, Y, Z) = XZ + Z(X’ + XY), the equivalent most

1.	Given the function F(X, Y, Z) = XZ + Z(X’ + XY), the equivalent most simplified Boolean representation for F is :(a) Z + YZ(b) Z + XYZ(c) XZ(d) X + YZ(e) None of these
Answer» XZ + Z(X'+ XY)= XZ + X’Z + XYZ (distributive Law) = Z(X+X’) + XYZ (distributive Law) = Z(1) + XYZ (Complementarity Law) = Z+XYZ (Identity Law) The equivalent most simplified Boolean representation for F is Z+XYZ

Given the function F(X, Y, Z) = XZ + Z(X’ + XY), the equivalent most simplified Boolean representation for F is :(a) Z + YZ(b) Z + XYZ(c) XZ(d) X + YZ(e) None of these

Answer»

XZ + Z(X'+ XY)= XZ + X’Z + XYZ (distributive Law)

= Z(X+X’) + XYZ (distributive Law)

= Z(1) + XYZ (Complementarity Law)

= Z+XYZ (Identity Law)

The equivalent most simplified Boolean representation for F is Z+XYZ

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Given the function F(X, Y, Z) = XZ + Z(X’ + XY), the equivalent most simplified Boolean representation for F is :(a) Z + YZ(b) Z + XYZ(c) XZ(d) X + YZ(e) None of these

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