How to count to 31 on one hand
There is no need to be a scary monster with 31 fingers/legs to count to 31 you can actually do it using only 5 fingers and the power of mathematics.
Methods that come natural to us are usually not the most efficient/best. This also concerns counting with the fingers on your hand(s).
Counting to 5
Most of us will count from 1 to 5 in the following way:
From a symbolic point of view each finger represents the numer one, adding those number ones, or equivalently, those number of fingers, will give you the number represented by my hand. This is an easy to understand rule. But it is not very efficient. For example, alternatively, I could count to 5 in the following way:
It might look a bit strange but the idea is exactly the same as in the first gif. First I lift one finger, then two fingers, etc. The problem with this hand counting method is that a number can be represented in several ways by your hand. For example, the number 1 can be represented by lifting any one of your five fingers. Similar case is true for 2,3,4. The exception is 5 since you only have five fingers on one hand. So there are no fingers to pick from.
Counting to 31:
To take counting to the next level you can define a counting method where a specific configuration of lifted fingers corresponds to a single number. In this way you can count all the way to 31:
A bit of math: You have five fingers which have two states, lifted or not-lifted, so there are 25=32 combination possible. However, since we don't consider 0 we end up with 32-1=31 possible states.
Converting configurations back to to numbers.
Memorising stuff is a drag. For this new way of counting we need to memorise 31 configurations so that is not nice. There is actually a pretty nice way to convert the configurations back to numbers through the magic of mathematics. I will represent a finger state by 0 or 1, where 0 corresponds to an unlifted finger and 1 corresponds to a lifted finger. A whole hand will then be represented by 5 of these 0s and 1s, where the first number represent your first finger, which is your thumb, the second number represents your second finger, etc. So for example, 11111 is a whole hand and 00001 is only thumbs up. An expression in 0s and 1s seems familiar from all those hacker movies. Yes indeed. We have been counting like a computer. The last gif is actually the same as counting in binary, which is nothing else then counting with two different states.
WARNING BIT OF MATH AHEAD TO EXPLAIN THE CONVERSION RULE: Let ai be 0 if the i-th finger is not-lifted and 1 if the i-th finger is lifted (where i=1,2,3,4,5) then a hand configuration a5 a4 a3 a2 a1 corresponds to the number
a1 + a2 x 2 + a3 x 4 + a4 x 8 + a5 x 16,
or equivalently,
a1 x 2 0 + a2 x 2 1 + a3 x 2 2 + a4 x 2 3 + a5 x 2 4 .
For example, 00011 corresponds to 1+2=3, and indeed it is the third image in the gif (the starting image is 00001) and 11111 corresponds to 1+2+4+8+16=31, which is the last image so it has to be 31.
In conclusion
01000010-01101001-01101110-01100001-01110010-01111001-00100000-01101001-01110011-00100000-01100001-1110111-01100101-01110011-01101111-01101101-01100101-00100000-01100010-01101001-01110100-01100011-01101000-01100101-01110011
1 steemitbasicincome for the first to translate this message :D
Source: Top image from Pixabay - CC0 - inactive account
Merchandise :D
There is a MathOwl shop which sells my artsy fartsy stuff. If you got some spare money head over there. You can learn about the colors of pi over here here. I also have really cheap stuff available like these stickers They are an absolute hoot.
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That's cool @mathowl :-)
But a little warning at this point: Don't count to four and run with a raised hand through the supermarket. :-D
I know I'm too late, but I also want to show that I'm able to handle binary code. :-D
"Binary is awesome bitches"
My dad taught me this when I was about 8 or 9. Four was a HUGE hit.
Haha... I believe it :-D
I wasn’t taught in it but this finger “fascinated”. Even more when you get told “don’t use it” :-D
haha - nice one.
Scienceblocks was first so I sent him the share. However, your comment is pretty nice so I sent you a 0.5 steem reward in the form of dustsweepervotes. Learn more about it here -> https://steemit.com/dustsweeper/@dustsweeper/dustsweeper-faq
Thank you so much @mathowl :-)
This was absolutely not necessary... :-) That's a great project, just read through the FAQs.
And thank you again! :-)
never thought of counting 31 in one hand before...! :D
i just noticed that 25 thing, u r such a genius owl...! :P
Thankies :D
:P
I remember counting until 15 on 5 fingers in school but this is way more cooler.
Indeed - Binary is awesome bitches (that's the binary ascii code. ;))
will be sending you that SBI-share later today :D
Holy hell, you have a merch-store by now. I must've been gone for far too long.
Long time no see, welcome back :)
Thank you. Glad to see you're still kicking it, hell, even developing your brand. Gotta check out all the posts I've missed. I've been busy with my first internship and moving appartments and stuff, so I couldn't keep up with Steemit. Let's see if I can catch up. :D
Also, as a computer scientist, the title already gave everything away. ;)
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This makes we want to practice Guitar.
binary would be a nice way to write down chords :P
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