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GATE CSE 2024 Session 1 Q54: Number of cylinders in a 512 GB disk

Question

Consider a 512 GB hard disk with 32 storage surfaces. There are 4096 sectors per track and each sector holds 1024 bytes of data. The number of cylinders in the hard disk is _________

Try it: numerical answer: type the value

Numerical answer. No negative marking.
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Answer: 4096 (official GATE 2024 final answer key)

Concept used: Capacity = cylinders × surfaces × sectors per track × bytes per sector.

First step: Write everything as powers of two: 239/(25⋅212⋅210)2^{39} / (2^5 \cdot 2^{12} \cdot 2^{10}).

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Source: official GATE 2024 Session 1 CS question paper and final answer key, organised by IISc Bangalore. Question paper · Answer key

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