Discussion of Code Modifications and Operational Differences

Operational Differences: The modified code calculates frequency every $250$ ms$,$ which is four times per second. By multiplying the pulse count by $4,$ the code approximates the number of pulses per second.

Advantages of Modifications: This setup balances accuracy with responsiveness by frequently updating the frequency reading.

Possible Limitations: At higher frequencies, interrupt handling limitations could still cause missed pulses, impacting accuracy. For very high frequencies, a specialized frequency counter or dedicated hardware would provide better accuracy.