Add the integer remainder and power operations to (a) the arithmetic BNF or (b) EBNF of Figures 6.17 and 6.18. Use % for the remainder operation and ˆ for the power operation. Recall 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).Figure 6.17expr \rightarrow expr + term | termterm \rightarrow term * factor | factorfactor \rightarrow ( expr ) | numbernumber \rightarrow number digit | digitdigit \rightarrow 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9Figure 6.18expr \rightarrow term { + term }term \rightarrow factor { * factor }factor \rightarrow ( expr ) | numbernumber \rightarrow digit { digit }digit \rightarrow 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9