7,729 views
28 votes
28 votes

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

  1. $x' + y'$
  2. $x + y$
  3. $x + y'$
  4. $x' + y$

5 Answers

Best answer
33 votes
33 votes

Answer is option D.

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

edited by
5 votes
5 votes
= X'Y' + XY +X'Y

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

= X' + Y

hence option d is correct
2 votes
2 votes

Using K map for two variables

  y' y
x' 1 1
x 0 1

Tables for expression given looks like this from this we get:

x'+y 

 

Answer:

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