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Let $*$ be defined as $x * y = \bar{x} + y$. Let $z = x * y$. Value of $z * x$ is 

  1. $\bar{x} + y$
  2. $x$
  3. $0$
  4. $1$
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4 Answers

Best answer
38 votes
38 votes
Answer is option B.

$z* x = {(x*y)} * x$

$=\left(\bar{x} + y\right) * x$

$=\overline{\bar{x} + y} + x $

$x.\bar{y} + x = x$
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8 votes
8 votes

The answer is Option (b).
Given
$x*y = x' +y$

$z= x*y$

Therefore $z = x'+y$

$z*x = z' +x$
       $= (x'+y)' +x$
       $= x.y' + x$
       $= x(y' +1)$
       $= x$
Answer $z*x = x$

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