Physics, asked by Jasani, 11 months ago

Find the minimized Boolean expression of this function F=XY+X(Y+Z)+Y(Y+Z)

Answers

Answered by mohantysubrata123
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 Jaswindar9199
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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