The value of $\frac{1}{2}+\frac{2}{4}+\frac{4}{8}+\frac{8}{16}$ is
(A) $\frac{1}{4}$
(B) $\frac{1}{2}$
(C) 0
(D) 4
(E) 2
In the given sum, each of the four fractions is equivalent to $\frac{1}{2}$.

Therefore, the given sum is equal to $\frac{1}{2}+\frac{1}{2}+\frac{1}{2}+\frac{1}{2}=2$.

ANSWER: (E)