Question #44460

Expand the following Boolean functions into their canonical form f(X, Y, Z) =XY+YZ’+XZ’+X’Y ?

Expert's answer

Answer on Question #44460, Engineering, Other

Task: Expand the following Boolean functions into their canonical form f(X,Y,Z)=XY+YZ+XZ+XYf(X, Y, Z) = XY + YZ' + XZ' + X'Y?

Answer:


f(X,Y,Z)=XY+YZ+XZ+XY=(X+X)Y+YZ+XZ=Y(Z+1)+XZ=Y+XZ.f(X, Y, Z) = XY + YZ' + XZ' + X'Y = (X + X')Y + YZ' + XZ' = Y(Z' + 1) + XZ' = Y + XZ'.


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