I'm a developer and I've been employed as a consultant (for the first time) for roughly two months now, and in that time I've only gotten one assignment. A quite basic inhouse assignment that clocks below 20 hours a week. I'm starting to grow pretty bored not only of the assignment but bored in general without having a proper assignment to occupy 100% of my time. In the beginning I used the time I had left to study and learn new things, but it's not fun learning new things when not knowing when (and if) I'm going to be able to use my knowledge.
Good to know 1: They recently fired a guy because they couldn't find any suitable assignments.
Good to know 2: I don't know how easy it would be for me to find another job as I looked for a while before getting this job. Other companies turned me down because of "lack of experience". I've been working for three years now.
Good to know 3: My boss has sent my CV to various companies but as far as I know, they've all declined.
How could I talk to my boss about this? I don't want to risk being fired too, but at the same time I feel like I could just stay at home and do something fun instead of sitting at the office feeling bored.