The number of clock cycles for the duration of an input pulse is counted using a cascade of $N$ decade counters $\text{(DC 1 to DC N)}$ as shown in the figure. If the clock frequency in mega hertz is $f$, the resolution and range of measurement of input pulse width, both in $\mu S$, are respectively,
- $\frac{1}{f}$ and $\frac{(2^N-1)}{f}$
- $\frac{1}{f}$ and $\frac{(10^N-1)}{f}$
- $\frac{10^N}{f}$ and $\frac{(10^N-1)}{f}$
- $\frac{2^N}{f}$ and $\frac{(2^N-1)}{f}$