If 4 cups of flour makes 8 cookies, then 2 cups of flour would make half that amount. So, if 4 cups yield 8 cookies, then 2 cups would yield:
\[ \text{Cookies} = \frac{2 \text{ cups}}{4 \text{ cups}} \times 8 \text{ cookies} = \frac{1}{2} \times 8 = 4 \text{ cookies} \]
Therefore, with 2 cups of flour, you will be able to make 4 cookies.