At the risk of over simplifying but in order to be helpful,
Light level changes are perceived by the camera and by our eyes as a "linear" change but in reality it's an "exponential change" when measured in units such as "lumens" or "foot-candles". A "stop" is a change from one level to the next by either 2x or 1/2, depending on which direction. It seems a constant change but it's not.
In lens openings, we divide the diameter of the opening into the focal length so a 25mm opening on a 50mm lens is F2.0 As it happens, the area of the opening that is 1/2 of F2 is F2.8 then 3.5 the 5.6 and so on. It's just the conventional set of measurements that manufacturers use and photographers expect. But a 1 stop change doesn't have to from or to those numbers.
A little math: area of a circle is pi x radius squared. So area of a 25 mm circle is pi x 12.5 x 12.5 =
490.8. So the diameter of F2.8 on a 50mm lens is 17.86 and the radius is 8.93 which makes the area
250.4. That is approximately half, you see?
Now for shutter speeds, it's the amount of time the shutter is open. That's why you will see 1/30, 1/60 and so on. for reasons of convenience, they usually go from 60 to 125 instead of 120 then it's as expected: 125, 250, 500 and so on. Of course, electronic camera can do all the in-between's too, both for lens openings (aperture) and shutter speeds.
ISO (previously ASA) is the number representing the sensitivity of the sensor (or film). It often goes in stops, too, but, again, modern cameras can use partial stops. Anyhow, the same half-or-twice relationship holds. An ISO of 100 vs an ISO of 200 will need a 1 stop change in the light in order to produce the same exposure. That's why ISO is shown on light meters.
To paraphrase Gertrude Stein, a stop is a stop is a stop. We call that "reciprocity". In other words, if you increase the lens opening (lower number) by one stop you can shorten the time the shutter is open by one stop. And so on. Stops are the same "size" as Exposure Value (EV) numbers. One EV is one stop. But EV is a real measurement while a stop is relative; it measures change.
In the world of both film and even digital sensors, you will eventually hit "reciprocity failure" where due to physics and chemistry, the 1-up, 1-down rule will begin to fail. In the normal range, though, it works.
Please note that the amount of light in a change of 1 stop or the amount of light in a change of 1 EV is not equal across the range. That's because of the linear vs exponential nature of our perception of light. You can ignore this and your pictures will be the same but it's fun to know.
Now go read up on it and don't trust on-floor sales folks who may or may not have a clue. Also, you may want to review some recent posts by selmslie:
http://www.uglyhedgehog.com/user-profile?usernum=16389If I have made any mistakes here you can count on him to catch me.