Does 1+1=2?

I chose this example since I find it to be the simplest form of logical knowledge. If 1+1 doesn’t equal 2 then nothing I logically understand is significant.

Imagine you were the first person to program the computer. In the original computer language you program 1+1=5. Could the computer ever understand that it is wrong?

Whether our brain was created or it evolved, we are limited to its program. Is there a way to confirm that the human way of thinking is correct? Perhaps there is a major glitch, maybe parts of reality are missing?