You can do almost anything in engineering but if your area is computers area electrical engineering and mechanical engineering are a very god choice for you!
In electrical engineering you use electric and electronic components to develop and/or improve systems (anything from industrial machinery to product develoment), usualy there's programing involved.
Mechanical engineering is using mechanical components, fisics and some math to make/improve/control systems (ANYTHING!!). Normaly there's at the least an intruduction to electrical, quemical and other types of engineering in mechanical engineering.
If you put the 2 of them and your computers skills together you have automatic/semi-automatic systems engineering! This is developement/improvement of automatic/semi-automatic systems trough the use of mechanical, eletric and eletronic solutions.