1 You don't have to smash it up, you can always donate the old computer to charity. 2  If the computer is reeking of acids and is defective, then dispose it at the city garbage as soon as possible. 3  If you can, record the destruction on a camera, cell phone, or maybe a small laptop if it has a built in camera. You can also recycle the computer. 2  You don't need to use a sledgehammer. 3  You can use other methods of destruction. 4  Make sure you dispose of the hazardous parts appropriately.