I like the idea of this game (or what I think it is)... but there are a few issues. First, there's no penalty to just constantly clicking the left arrow. Eventually, the bits will match the target value without ever having to pop anything from the stack. Second, the game doesn't end once you've used up all of your stack pops... again, further proving the first point. Lastly... is there a "quit" key? Sure, I can press the "x" on the window, but I'm generally a believer that the application, itself, should have a "quit" command built in. To be fair, I'm a Linux user using a tiled window manager, so I don't have the floating windows.
All that said, the layout for the game was pretty good, clean, and easy enough to understand.