If $f: R \rightarrow R$ is defined by $f(x)=[2x]-2[x]$ for $x \in R$, where $[x]$ is the greatest integer not exceeding $x$, then the range of $f$ is:
- A$\{x \in R: 0 \leq x \leq 1\}$
- B$\{0, 1\}$
- C$\{x \in R: x > 0\}$
- D$\{x \in R: x \leq 0\}$
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