Picking up on Van B's point, there are lots of products, machines and processes that require computer control or connecting to IT infrastructure. Some products require programming of micro processors (sorry if I used outdated language) and others use programmable logic controllers (PLCs).
The product I work on uses both (although we don't do it all in house) and also has remote control, monitoring and data logging options that can hook into web-browsers over the internet and or phone lines, which requires more of any IT bias than engineering as such.
I'd say that electronics or electrical engineering is a better fit if you want to use "computers to do something a little more interesting", as it requires more knowledge of how electrical components are intergrated into the control hardware.
one of these days I'll come up with a better signature