Consider the following circuit.
Which one of the following is TRUE?
$f$ is independent of $X$
$f$ is independent of $Y$
$f$ is independent of $Z$
None of $X, Y, Z$ is redundant
The expression will be
$f = [ ( x.y' )'.(y.z) ]'=[ (x'+y).(y.z) ] =[ x'.y.z+y.z ]'=[ (x'+1).(y.z) ]'=[ 1.(y.z) ]'=[ y.z ]'=y'+z'$
The final expression only contains $y$ and $z$,
Therefore, answer will be (a) f is Independent of $X$
Simplify the given circuit, as dotted input OR gate is equal to NAND gate:
(A) is the correct option!