Parallel transfer timing — 8-bit word at 2.25 MHz The hexadecimal number 4B (8-bit word) is sent in <em>parallel</em>. If the system clock is 2.25 MHz, how long does one parallel word transfer take?

Difficulty: Easy

Correct Answer: 444 ns

Explanation:


Introduction / Context:
Parallel buses transfer an entire word per clock. Understanding the relationship between clock frequency and transfer time is essential for bus bandwidth calculations and timing budgeting.


Given Data / Assumptions:

  • Data width is 8 bits (hex 4B), but width does not affect time per transfer in parallel—one word per clock.
  • Clock frequency f_clk = 2.25 MHz.
  • Assume one clock per transfer (no wait states).


Concept / Approach:

In parallel transfer, the time to send one word typically equals one clock period. Period T = 1 / f_clk. Convert units carefully from megahertz to seconds per cycle.


Step-by-Step Solution:

f_clk = 2.25 MHz = 2.25 × 10^6 HzT = 1 / f_clk = 1 / (2.25 × 10^6) sNumeric: 1 / 2.25 ≈ 0.444... microsecondsTherefore, T ≈ 0.444 µs = 444 ns per word transfer.


Verification / Alternative check:

Quick scale check: A 1 MHz clock has T = 1 µs. At 2.25 MHz, period should be ~0.44 µs, matching 444 ns.


Why Other Options Are Wrong:

  • 444 µs / 3.55 ms: off by factors of 10^3–10^6 due to unit mistakes.
  • 3.55 µs: corresponds to ~281 kHz, not 2.25 MHz.
  • 2.25 ns: that would be a 444 MHz clock, not 2.25 MHz.


Common Pitfalls:

  • Confusing serial timing (bits per second) with parallel word timing.
  • Including protocol overhead; the problem states a direct per-clock transfer.


Final Answer:

444 ns

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