bitmap , How many addressable bits are in 4 kilobytes of memory?


How many addressable bits are in 4 kilobytes of memory?

Question:

Tag: bitmap

I have come across the following statement in a solution for a problem:

We have 4 kilobytes of memory which means we can address up to 8 * 4 * 2^10 bits.

Where is the 2^10 coming from? I would have thought that we could address 8 * 4 * 1000 bits.

For reference, the question is:

You have an array with all the numbers from 1 to N, where N is at most 32000. The array may have duplicate entries and you do not know what N is. With only 4 kilobytes of memory available, how would you print all duplicate elements in the array?


Answer:

1 kilobyte is supposed to be 1000 bytes whereas 1 kibibyte is 2^10=1024. However, kibi* and related units never really caught on, so "kilobyte" almost always means 1024 bytes in practice.


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