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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. $1$
edited | 673 views
+1

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

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

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

$x.\bar{y} + x = x$
edited
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but sir if we make the truth table we will get x
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How?
+1
sir in first line u have written z*x=bar(x*y)*x which should be bar(x*y)+x

because u have applied the rule for z*x as well as put z=x*y
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Yes. That was a mistake. Thanks for the correction :)
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my pleasure sir

Z*X=(X*Y)*X

=(Xc+Y)c+X

=X.Yc+X

=X(1+Yc)

=X

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Which rule is applied to change from step 1 to 2 ?
ans b)

Ans: B

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