Let me elaborate, 0's and 1's for a computer, basically tell it what turns off and what turns on during a sequence, or a command, it is what tells a LED on a computer's processing light ( the one that flickers when your computer is thinking really hard) to turn on and off. and at what sequence) ...
If you've ever seen the movie "hackers" they used a simple computer code (not called the michaelangelo virus, which wreaked havoc in it's day) Was a simple code of 0110111. it repeated, and what it did was overwrite the first one hundred sectors of the hard disk with nulls, it moved the boot record to the front of the disk it also moved other sectors elsewhere, (IE. let's move the front the the back, and the middle to the front, and the back to the middle) which screwed up the whole process of computers in 1991.
hope this helps people understand what binary numbers are... essentially they are just a switch, to tell the computer to turn on things, and turn off things, when we press keys on our keyboard binary numbers tell the computer what to turn off, and what to turn on so that the proper letter appears on the screen.