1. Modify the above BNF, EBNF and Syntax Diagrams by adding subtraction, division, the integer remainder, and power operations operations to the simple integer arithmetic expressions. Be sure to give them the appropriate precedence.   Use % for the remainder operation and ˆ 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 ˆ 2 ˆ 3 = 256, not 64).

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