Computer Science

Find the complement of the following expression:
X' + XY'

Boolean Algebra

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Answer

Complement of X' + XY':


= [X' + XY']'
= X''.(XY')'    [De-Morgan's Law]
= X.(X' + Y'')  [De-Morgan's Law]
= X.(X' + Y)
= X.X' + X.Y    [Distributive Law]
= 0 + X.Y       [&#8757; X.X' = 0]
= X.Y

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Computer Science

Find the complement of the following expression:X' + XY'

Boolean Algebra

Answer

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