Active high and active low in IC
The chip does not care, it reacts to voltage levels, not to logic signals.

This chip has two tables that describe the logic function it implements. The first one shows the functions when YOU define low = 1, high = 0:



The second table describes the same logical circuits, but now using the (common) convention high = 1, low = 0:



To illustrate the point, look at the last-but-one row, second column. In the first table (active low logic) it states F = AB, which is the math notation for the AND function. In the second table the same entry states F = A + B, which is the logical (inclusive) OR function. This all makes perfect sense: the common OR port IS AN AND PORT FOR 0's.