I'm trying to make a subsystem that has several outputs. By default, all outputs are 0. When turned on, I want it to randomly set one output to 1, and make it stay at 1 until reset (the reset procedure can be anything, but is preferably a pulse). I'm a bit of a newbie at electronics, but I know all of the basics. Apart from the basic components, I have access to 555s and most of the 4000 series.
Preferably, I would like to avoid the use of a microcontroller.