Serial loading time vs. clock rate At a 200 kHz clock frequency, how long does it take to serially load eight bits into a shift register?

Difficulty: Easy

Correct Answer: 40 μs

Explanation:


Introduction / Context:
Serial interfaces and shift registers are clocked devices, so throughput and latency are directly tied to the clock frequency. Converting between frequency, period, and total transfer time is a routine skill in digital systems.



Given Data / Assumptions:

  • Clock frequency f = 200 kHz.
  • Word length = 8 bits (8 clock pulses to load).
  • One bit is entered per clock pulse.


Concept / Approach:
The time per clock is the period T = 1 / f. The total time to clock N bits serially is N * T. With f in kilohertz, convert to seconds or microseconds carefully to avoid powers-of-ten mistakes.



Step-by-Step Solution:
Compute period: T = 1 / 200,000 s = 5 μs.Total time for 8 bits: 8 * 5 μs = 40 μs.


Verification / Alternative check:
Use frequency scaling: at 100 kHz, 10 μs/bit; doubling to 200 kHz halves the per-bit time to 5 μs, and 8 bits then take 40 μs. The result is consistent.



Why Other Options Are Wrong:
4 μs / 0.4 μs: off by factors of 10 or 100.400 μs / 40 ms: orders of magnitude too slow for 200 kHz operation.


Common Pitfalls:
Confusing kHz with kbits/s or forgetting that 1 kHz = 1000 Hz (not 1024) when doing rough timing estimates.



Final Answer:
40 μs

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