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A $10 \frac{1}{2}$ digit timer counter possesses a base clock of frequency $100$ MHz. When measuring a particular input, the reading obtained is the same in:

  1. Frequency mode of operation with a gating time of one second and
  2.  Period mode of operation (in the $\times 10$ns scale).

The frequency of the unknown input (reading obtained) in Hz is _______.

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