Many pupils adhere to the idea, the right solutions of every problem would be stored in the calculator - "he knows it" or at least "it can". Smarties would say "It's a chip. That can do it!"
I can reduce the addition of two binary numbers merely to an If-Then - decision without any mathematical knowledge and in the case of an electronic calculator it is electric: If line one has voltage (the pupils may say: "juice") and line 2 has voltage then make...
Calculating is done by the user!
Even then, when a key is pressed with a pattern looking similar to "1".
A user who never learned the patterns and who knows nothing about calculating cannot be assisted by the most expensive or cheapest pocket calculator!
It is really important to make students conscious how intelligent they still are when they believe to be unable to calculate without that "handsoap". It might encourage them to try it occasionally without it!