$(10)$ The following is a partial list of C operators:

$===!=$ && $||<<=>>=+-*/\%-($unary$)*($unary$)$

create an expression grammar for the above. Ensure correct precedence and

associativity. Include support for parenthesis.

$2.(40)$ Using your grammar for the above question, draw parse trees and syntax

trees for:

a$)$ x $+$ y $*(-$z $-$ x$)*$ z $*$ b $+$ d

b$)$ x $=*$x $+$ y $*($x $+*$y$)*($x $-$ y$)$

c$)$ x $=$ y $=$ z $=$ y $-($x $*-($x $+$ y$))-$ z

d$)$ x $||($y $<$ z$)$ && $($a $>$ b$)$ && $($c $==-$d$)||$ e

$3.(10)$ Convert the following EBNF into BNF:

::$=[$y $]$

::$=($w $|$ z$)$

:$=$ x $\{\}$ x

:$=$ x $|$ y $|$ z $|$ null