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However, if it is pointing to an array of integers, and if integers are 4 bytes on your machine, then adding 1 will add *4* to the address, so that it will now point to the next integer.

Pointer subtraction is similar. I would assume that you in fact have a compiler/system in which integers are 2 bytes. Thus the number of integers between 1000 and 2000 would be 500.