Q$1$:

Consider the function sum$($x$,$ y$)$ for Boolean $(0/1)$ variables x and y$,$ defined as x $+$ y $(1$ if x $=1$ or y $=1$ or or both$).$

$[$a$]$ Draw the "Boolean Algebra" table for the diff$($x$,$ y$)$ function.

$[$b$]$ Use the systematic approach shown in class to derive a Boolean function using operators OR $($addition$),$ AND $($multiplication$),$ and NOT $($complementation$)$ that generates diff$($x$,$ y$)$ per the output column in $[$a$].$

$[$c$]$ Draw a circuit diagram of gates that simulates the function in $[$b$].$