Ohms are in a nutshell the measure of resistance that speakers show to your amplifier. In most instances, the lower the ohm load, the more current the speaker will draw from the amplifier.
Understanding ohms is critical to proper system design. If you want to get the most out of your system, you have to match your speakers to your amplifier, or vice versa. If you've got an amplifier that's 1 ohm stable, you want a sub thats dual 2 ohms, or a pair that are dual 4 ohms, etc. If you've got an amplifier thats 2 ohm stable, you should look for a dual 4 ohm sub or a pair of single 4 ohm or dual 2 ohm subs.
I know it's confusing, but it all boils down to two types of circuits- parallel and series.
Parallel wiring involves pairing the positive and negative leads of speakers, thus halving the resistance. For example: a dual 4 ohm wired in parallel comes out to 2 ohms. A pair of single 4 ohm subs wired in parallel comes out to 2 ohms. A dual 2 ohm sub wired in parallel presents a 1 ohm load.
Series wiring, on the other hand, means connecting the positive from the amp to the positive on the first speaker or voice coil, the negative from the first speaker or voice coil to the positive on the second speaker, and the negative from the second speaker to the amp. I know it sounds confusing, but it's actually pretty simple. In effect, it doubles the ohm load. A dual 4 ohm speaker wired in series equals 8 ohms, and a dual 2 ohm sub wired in series will present a 4 ohm load.
These two types of wiring can be combined to reach the proper ohm load for your amplifier. For example, if you want to wire a pair of dual 2 ohm subwoofers to a 2 ohm stable amplifier, you can wire each sub in series to 4 ohms, and then wire them together in parallel to reach a final load of 2 ohms.
I know its confusing at first but after you do it a few times, you'll find it's simple.