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I think the 80 and 81's have a different latching mechanism than the earlier years, I think the car can be adapted to fit the early ones with two latches but I don't think you can do it the other way around.
Went to just one front latch, instead of 2 on each side.
I think starting in '80 the panels themselves became a little bit lighter in weight, I think...
All 78-82 single handle tops, are interchangeable. These are the tops that have a single release handle in the front and a pin that comes out the back. 68-77 Corvettes, all used the dual handle tops.
There are some minor differences in the 78-82 tops. In particular, the manor in which the headliners are attached on late 80-82 tops, but there's nothing that prevents them from being used on any 78-82 Corvette.
A good pair of 78-82 painted tops, will cost you $200-300. You'll probably end up buying new headliners too, as original ones are usually cracked, or completely missing.
If you absolutely have too, you can use 68-77 dual handle tops on your 80, by changing the top rear body mounting hardware.