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Frequency of an analog periodic signal in the range of $5kHz-10kHz$ is to be measured with a resolution of $100Hz$ by measuring its period with a counter. Assuming negligible signal and transition delays the minimum clock frequency and minimum number of bits in the counter needed, respectively, are:

  1. $1\; MHz,\; 10-bits$
  2. $10\; MHz,\; 10-bits$
  3. $1\; MHz,\; 8-bits$
  4. $10\; MHz,\; 8-bits$

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