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If the main memory is divided into 4 fixed sized partitions of 5KB each and each of them is occupied by processes of 4KB each can I say that the total 4KB of space unused as external fragmentation?

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i think no, as external fragmentation necessitates free blocks that are smaller than necessary, but here coz of the fixed partitioning, the space that is existent here cannot be combined.

as per Galvin

As processes are loaded and removed from memory, the
free memory space is broken into little pieces. External fragmentation exists
when there is enough total memory space to satisfy a request but the available
spaces are not contiguous: storage is fragmented into a large number of small
holes. This fragmentation problem can be severe. In the worst case, we could
have a block of free (or wasted) memory between every two processes. If all
these small pieces of memory were in one big free block instead, we might be
able to run several more processes.

 

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