Parallel transfer timing — 8-bit word at 2.25 MHz The hexadecimal number 4B (8-bit word) is sent in parallel. If the system clock is 2.25 MHz, how long does one parallel word transfer take?
Digital Electronics
Signals and Switches
Difficulty: Easy
Choose an option
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A444 ns
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B444 µs
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C3.55 µs
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D3.55 ms
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E2.25 ns
Answer
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