With hex dice you can generate 16 bits with four rolls, four bits each time.
Obviously you're more likely to already have a D6 somewhere, but then you're even more likely to own a coin, and 16 coin tosses is also an effective way to generate a 16-bit number.
I'm not sure this is still true. At least not here in Sweden. Everyone I know owns multiple board games which come with at least one D6 and in recent years I've had discussions with friends and family about us paying everything electronically nowadays. There has even been talk about the risk to our society of no one having cash anymore.
In fact, some weeks ago I needed a coin to show my kids when they asked about this physical money they'd heard of and I couldn't find one.
If you really want to do it in one throw, you don't really need to color them all differently, though. Just read them in a specified way, i.e. always from left to right and top to bottom. (You don't even have to always read them the same way as long as how you read them is completely independent from what their faces show.)
https://www.amazon.com/Lanema-Polyhedral-Dungeons-Dragons-Si...