LED Number based on Switches

Hi, this is my first post and I am completely new to the world of electronics.

I'm currently entering my junior year in college and I decided to switch from Computer Science to Electrical Engineering. I also figured that the best way to learn is to dive right in.

I have a mini project that I am working on over the summer which should be really simple. I have 10 push buttons, and I want an number display to show the total amount of buttons which are pushed (0-10).

For example, if any 2 buttons are pressed, it should show the number 2 on the display.

I understand the basics of Voltage/Resistance/Current/How to read basic circuit diagrams. I also have a lot of background in programming, which I'm guessing will be required for this.

This is the basis of my project and I have some ideas to expand on after I get the basics down.

Thanks in advance