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The file system in an OS needs to keep track of disk blocks that are in use (i.e., part of a file) and those that

The file system in an OS needs to keep track of disk blocks that are in use (i.e., part of a file) and those that are not in use (i.e., not yet used in a file, or formerly part of a file now deleted). One way to do this is with a bitmap in which each disk block is represented by 1 bit indicating the blocks status (free or busy). For a filesystem with 1,464,145,922 512-byte blocks, how many 512-byte blocks would be needed to hold the bitmap?

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