Well, my explination of DIGITAL ISO relates to listening to your home stereo system.
When you first turn on the stereo, and have NO music playing, the stereo is pretty quiet. But, if you turn the volume all the way up (increase amplification), you will hear a HISS, and that is NOISE!
So now imagine listening to a cassette recording made in a big room. You have to turn the volume way up to be able to hear what happens in the room. But, you gain a whole lot of hiss in the process. The key here, is the ratio of the "signal" to the noise. You, in this case have a very underexposed situation, with a very low signal to noise ratio. The low signal relates to a dark scene, and the high noise relates to all that hiss created by the amp being turned all the way up.
But now think about playing a CD. You can turn the volume control way back down, because have a properly exposed signal reaching the amplifier, and it doesnt need all that extra gain, creating hiss. You also have a much better signal to noise ratio; loud signal (lots of light) and hardly any noise, very low amplification.
Of course, you can have too much of a good thing also, and overload the amp by putting too much into it, aka overexposing.
This is probably over simplified, but it has helped several people I have worked with understand the process a little better. Hope it helps.