Please help answer both questions throughly. Do not copy other answers online. Thank you.

1.) Modify the above BNF, EBNF and Syntax Diagrams by adding subtraction and division operations to the simple integer arithmetic expressions. Be sure to give them the appropriate precedence.

2.) Modify the above BNF, EBNF and syntax diagrams by adding the integer remainder and power operations to the simple integer arithmetic expressions.Use % for the remainder operation and for the power operation. **Hint: Note that the remainder operation is left-associative and has the same precedence as multiplication, but that power is right-associative (and has greater precedence than multiplication, so 2 2 3 = 256, not 64)

BNF rules for simple integer arithmetic expressions: exprexpr+termtermtermterm*factorfactorfactor(expr)numbernumbernumberdigitdigitdigit0123456789 EBNF rules for simple integer arithmetic expressions: exprterm{+term}termfactor{factor}factor(expr)numbernumberdigit{digit}digit0123456789 Syntax diagrams for a simple integer expression grammar