GATE | GATE CS 2020 | Question 30

If there are m input lines n output lines for a decoder that is used to uniquely address a byte addressable 1 KB RAM, then the minimum value of m+n is ________ .

Note – This question was Numerical Type.
(A) 18
(B) 1034
(C) 10
(D) 1024


Answer: (B)

Explanation: According to Decoder:

We need 2¹⁰ outputs to map 1 KB RAM. For this we need 10 × 2¹⁰ decoder.
Therefore,

Here m = 10 and n = 210 

Hence,

m + n = 10 + 210 = 10 + 1024 = 1034  

Option (B) is correct.

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