a$.$ There are three major courses $x,Y$ and $Z,$ and two minor courses A and $B$ in a department. $A$

student can graduate if he or she passes:

$($i$)$ All the major courses from $x$ to $Z$

OR

$($ii$)$ Two major courses and both minor courses

Write a Boolean equation to represent the graduation condition. Implement using Decoder. $[2\mathrm{.}5]$