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+16 votes
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A Boolean function $x’y’ + xy + x’y$ is equivalent to

  1. $x' + y'$
  2. $x + y$
  3. $x + y'$
  4. $x' + y$
asked in Digital Logic by Veteran (59.5k points) | 967 views

3 Answers

+15 votes
Best answer

Answer is option D.

$x'y' + x'y = x'(y+y') = x'$
$x' + xy = x' + y$

answered by Veteran (355k points)
edited by
0
how x' + xy = x' + y ????
+7 votes
answer - D

use K map
answered by Loyal (9k points)
0
Use distribution rule  ...
+2 votes
= X'Y' + XY +X'Y

= X' ( Y + Y' ) + Y ( X + X')

= X' + Y

hence option d is correct
answered by Active (3.5k points)


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