Are 'addition' and 'bitwise or' the same in this case?

Question

Say I have four 32-bit numbers, defined so that their bits don\'t overlap, i.e.

unsigned long int num0 = 0xFF000000;
unsigned long int num1 = 0x00FF0000;
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Answer 1

Addition and bit-wise or would be the same as bit-wise or would include any bits in either, and normal addition would do exactly the same given the mutually exclusive nature of your bits.