Find the minimized Boolean expression of this function F=XY+X(Y+Z)+Y(Y+Z)
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Answered by
12
Answer:
XY+X(Y+Z) +Y(Y+Z) =X(Y+Y+Z) +Y(Y+Z) =X(Y+Z) +Y(Y+Z) = (Y+Z) (X+Y)
Answered by
3
Given:
Function F=XY+X(Y+Z)+Y(Y+Z).
To Find:
The minimized Boolean expression of the function F=XY+X(Y+Z)+Y(Y+Z).
Solution:
F = XY + X(Y+Z) + Y(Y+Z)
F = XY + XY + XZ + YY + YZ
Since YY = Y,
F = XY + XZ + Y + YZ
Since Y+YZ = Y(1+Z) = Y,
F = XY + XZ + Y
The minimized Boolean expression of the function F=XY+X(Y+Z)+Y(Y+Z) is F = XY + XZ + Y
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