List of top Digital Logic Questions asked in GATE EC

Consider a Boolean gate (D) where the output $Y$ is related to the inputs $A$ and $B$ as \[ Y = A + \overline{B}, \] where $+$ denotes logical OR. The Boolean inputs ‘0’ and ‘1’ are also separately available. Using only D gates and inputs ‘0’ and ‘1’, ________________ (select the correct option(s)).
Select the Boolean function(s) equivalent to $x + yz$, where $x$, $y$, and $z$ are Boolean variables, and $+$ denotes logical OR.
Consider the 2-bit multiplexer (MUX) shown in the figure. For OUTPUT to be the XOR of C and D, the values for $A_0, A_1, A_2,$ and $A_3$ are ________________.