Q2) Let a be a primitive element in GF (24). Divide the polynomial f(X) = aX7 +aX6 + aX4+ aX + aX + 1 over GF (24) by the polynomial g(X) = X + aX +a5X + 1 over GF (24). Find the quotient and the remainder (use Table 1) Table 1: Three representations for the elements in GF (24) generated by p(X) = 1 + X+X4. Power representation 0 1 a a 4 a a5 6 a7 8 a10 a1 12 a13 14 0 1 Polynomial representation a a 1 + a a + a a + a 1 +a+a 1 + a a + a 1+ a + a a + a + a 1+ a + a + a 1 + a + a 1 + a 4-Tuple representation 0 1 0 0 0 1 0 0 1 1 0 1 0 1 1 1 DITOOOO OOO 0 1 0 0 0 0 1 0 0 1 0 0 0 0 1 1 -OO 1 0 1 1 0 1 -110 0 1 0 1 1 1 1 1 0 1 1 0 0 1 1 1