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The Boolean expression $(X+Y)(X+\overline{Y}) + \overline{(X\;\overline{Y}) + \overline{X}}$ simplifies to

  1. $X$
  2. $Y$
  3. $XY$
  4. $X+Y$
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1 Answer

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(x+y)(x+!y)+!((x!y)+!x)

=x+xy+x!y+xy

=x
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