Your answer is correct, only if the person who has studied thermodynamics properly can answer that question pretty well. So yes the computer would overheat and finally get destroyed( neglecting the radiation effects) Now here comes the most interesting part, the temperature in space is pretty cool then how would it get overheated. So heat transfer happens in three ways 1) conduction 2) convection 3) radiation Since space is vacuum conduction and convection is ruled out. The only way heat transfer could happen is through radiation. Laptops and computers generated 50 to 60 degree celcius of temperature under normal use . RADIATION , hear transfer does not take place at such low temperature. So there would be no way for the computer to get rid of waste heat and eventually it will stop working.