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GATE 2010 CS (CS1) – Question 17

Computer Organization and Architecture · Memory Interfacing and Hierarchy · 1 mark · Multiple choice

A 4 MB main memory uses 1M×1-bit DRAM chips. Every chip has 1K rows of 1K cells. A refresh operation takes 100 ns. Find the time to refresh every cell once.

  1. 100 ns
  2. $100\times2^{10}$ ns
  3. $100\times2^{20}$ ns
  4. $3200\times2^{20}$ ns

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Correct answer: (B) $100\times2^{10}$ ns

Explanation

One refresh services a full row. Each chip has 2¹⁰ rows, so 2¹⁰ refresh cycles are needed. The memory’s thirty-two chips refresh in parallel rather than sequentially. Total is 100×2¹⁰ ns=102400 ns, B.

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