Consider a multiplexer with $X$ and $Y$ as data inputs and $Z$ the as the control input. $Z=0$ selects input $X$, and $Z=1$ selects input $Y$. What are the connections required to realize the 2-variable Boolean function $f=T+R$, without using any additional hardware?
Answer is option A.
$Z'X + ZY$
Put $Z = T, X = R, Y = 1 $ in $Z'X + ZY$
$= T'R + 1*T$
$= (T+T') (T+R)$
$= T + R$
Should we consider f = T + R as SOP or POS ??
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