Question 76

Computer Awareness Computer memory Easy

A RAM chip has a capacity of 1024 words of 8 bits each ( \( 1 \mathrm{k} \times 8 \) ) The number of \( -2 \times 4 \) decoders with enable line needed to construct a 16 k ( 16 RAM from \( 1 \mathrm{k} \times 8 \) RAM is

(A) 5
(B) 4
(C) 7
(D) 6
✓ Correct Answer: Option A Verified Solution

📘 Step-by-Step Solution & Detailed Explanation:

16K words from 1K × 8 chips needs \(16K / 1K = 16\) chips, so we need a 4-to-16 decoder to select one chip.

Build it with 2×4 decoders that have an enable input:

  • 1 decoder takes the 2 higher address bits and enables one of 4 second-level decoders.
  • 4 decoders take the 2 lower bits, and each one selects one of 4 chips.

Total = 1 + 4 = 5 decoders.

Answer: (A) 5

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