BNF rules for simple integer arithmetic expressions: expr expr + term | term term term * factor | factor factor (expr ) | number number number digit | digit digit 0|1|2|3|4|5|6|7| 8 | 9 EBNF rules for simple integer arithmetic expressions: expr term { + term } term factor { * factor } factor (expr) | number number digit { digit } digit 0|1|2|3|4|5|6|7| 8 | 9 Syntax diagrams for a simple integer expression grammar: exp tem + tem factor exp factor number number 0 Q1: 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. Q2: 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)