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GATE | GATE CS 2013 | Question 65

  • Difficulty Level : Expert
  • Last Updated : 19 Nov, 2018

A RAM chip has a capacity of 1024 words of 8 bits each (1K × 8). The number of 2 × 4 decoders with enable line needed to construct a 16K × 16 RAM from 1K × 8 RAM is
(A) 4
(B) 5
(C) 6
(D) 7


Answer: (B)

Explanation:

RAM chip size = 1k ×8[1024 words of 8 bits each]
RAM to construct =16k ×16
Number of chips required = (16k x 16)/ ( 1k x 8)
                         = (16 x 2)
[16 chips vertically with each having 2 chips
horizontally]
So to select one chip out of 16 vertical chips, 
we need 4 x 16 decoder.

Available decoder is  2 x 4 decoder
To be constructed is 4 x 16 decoder

Hence 4 + 1 = 5 decoders are required.


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