I could have sworn that Arthur C. Clarke and Asimov both had computers in their sci-fi universes, but now that I try to think about it, you're probably right. The closest thing I can think of to a computer is HAL from 2001.
But you have to hand it to them, they and many of their contemporaries did an amazing job building the tech for their futuristic worlds. You could read Foundation or Childhood's End now and you probably wouldn't notice that they were written in the 50s.