What you'll need: 2 hands! That's it. Also, this instructable is written under the assumption that you like to start count off your fingers on your hand starting with the pointer, then the middle finger, the ring finger, the pinky, then the thumb. Go ahead, count to 5 normally on your fingers. Did you do it like I just described? Good. If not, adjust accordingly.
In each step, I'll describe it starting from your left hand (used interchangeably with "first hand"), and the moving onto your right hand ("second hand") These correspond with the hands in the left- and right-side of the pictures. If you like doing it the other way around, feel free to switch, after you've gotten the hang of it.
A little note: the last 3 methods are called "Kabukistar I," "Kabukistar IIa" and "Kabukistar IIb," respectively. this is because I thought of them myself. Not to say that I was the first one to ever think of them, in fact I'm almost positive that these were known long before I thought of them. So, if anyone can find mention of these methods that shows their real names, show me where, and I'll change their name on this instructable, accordingly.
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Counting range: 0 through 1023
Pros: Easy To learn, and Easy to count up.
Cons: Difficult to start with a large number, and takes some thinking to realize what number you're at, just by looking at your fingers. Requires you to flip the bird, with some numbers (like 18).
The basic idea is that each finger is the sum of all the previous fingers (in the order you put them up counting normally), plus one.
So, start with having all your fingers down. This is 0 Now, stick your pointer finger up on your left hand, and this is 1. So, naturally, your middle finger on your left hand will be worth two (it's the sum of your previous fingers [which happens to be just your pointer finger] plus 1) So, to ahve 2, you just have that middle finger up. Since it's worth 2, and your pointer finger's worth 1, you put them both up to get 3.
Next, of course, your ring finger is worth the sum of all the previous fingers (1+2=3) plus 1 (3+1=4) So it's worth four. You can now use these three fingers to count up to 7, so the pinky is worht 7+1. You can use these four fingers to count up to 15, so the thumb is worth 16.
You can continue doing this with your other hand, where the fingers are worth 32, 64, 128, 256, and 512. You may notice that the fingers are going up in powers of 2, but if you didn't notice that, then just ignore it.
Anyways, once you have all your fingers up, it will total up to 1023; that's the highest you can count.
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http://en.wikipedia.org/wiki/Chisenbop
I seem to recall seeing television ads for this method in the '70s.
Letting T=thumb, I=index, M=middle, R=ring and P=pinky finger, you count to 9 on your first hand with the sequence
1=T
2=TI
3=TIM
4=TIMR
5=TIMRP
6=IMRP
7=MRP
8=RP
9=P
then raise the thumb on yoru second hand to represent 10, and continue. Each addition of 1 only involves changing one finger except breaking a new ten, which changes two, and the method is very logical and easy to learn. It's very easy to visualise because your left hand can be the 10s place and your right hand the units like a normal two-digit number.
Use your wrists as binary 100's. L=100. R=200. L+R=300.
http://www.stabi.hs-bremerhaven.de/dss/Zahl.html