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GATE 2015 EC – Question 25

Digital Circuits · Semiconductor Memories · 1 mark · Numerical answer

A 16 Kb (=16,384 bit) memory array is designed as a square with an aspect ratio of one (number of rows is equal to the number of columns). The minimum number of address lines needed for the row decoder is ________.

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Correct answer: 7

Explanation

A square array of 16,384 bits has $\sqrt{16384} = 128$ rows and 128 columns. Selecting one of 128 rows needs $\log_2 128 = 7$ address lines.