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