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### Course: Math for fun and glory > Unit 1

Lesson 5: Singing (and noises)# Binary hand dance

Thanks to my bro for the music! He's at christopherhart2010@gmail.com
Thanks to my other bro for hand dancin' and throwing money at me, and special thanks to my mamma and grandma for their guest appearances. Created by Vi Hart.

## Want to join the conversation?

- How high does the binary dance go? 1023? That's as far as I got but I think I got mixed up.(171 votes)
- I'm really not sure, I did it and reached 543. The largest binary number i reached is 32768 (in my head)!(3 votes)

- Soo... you’re teaching the children to do the middle finger? 😅😂(7 votes)
- Imagine 100 people all in a line counting in binary. What is the maximum number they can get to?(3 votes)
- Well, each one of the people can count as far as they want. For instance, I could count: 1,10,11,100,101,110,111,1000,1001,1010,1011,1100,1101,1110, and so on as far as I like. If you are actually saying that they are each bits, only able to say 1 or 0, then they in total could count to 1,267,650,600,228,229,401,496,703,205,375 which is 2^100 - 1. If you are saying that each of their 10 fingers are bits, like in the video, then they could count to 2^1000-1, which is 10,715,086,071,862,673,209,484,250,490,600,018,105,614,048,117,055,336,074,437,503,883,703,510,511,249,361,224,931,983,788,156,958,581,275,946,729,175,531,468,251,871,452,856,923,140,435,984,577,574,698,574,803,934,567,774,824,230,985,421,074,605,062,371,141,877,954,182,153,046,474,983,581,941,267,398,767,559,165,543,946,077,062,914,571,196,477,686,542,167,660,429,831,652,624,386,837,205,668,069,375.(8 votes)

- Could some one explain to me about this handy dance?(3 votes)
- Each finger on your hand represents a binary digit. The thumb represents the 1s digit, the forefinger represents the 2s digit, the middle finger represents the 4s digit, etc. Since each number can uniquely be represented as a sum of distinct powers of 2, you can use the arrangement of fingers on your hand to represent any number (at least until you run out of fingers at 31 or 1023, depending on whether you are using one hand or both).(5 votes)

- If binary is base two, what about base 3 and so on?(2 votes)
- Base three uses 0,1,2. Base 4 uses 0,1,2,3 and so on.(5 votes)

- So can I count up to 2^24 (16777216) using my fingers, toes, hands and legs.(4 votes)
- Yes! Have a go and time how long it takes. I'll check up on you next year, if you're not lost by then.(1 vote)

- Is your brother really Christopher Hart, the artists who writes all those how to draw Manga books? Because if so, THAT IS SO AWESOME! :D(4 votes)
- does the binary hand dance stop at 31? Or does it surpass 31. In the video Vi stopped at 31(3 votes)
- It ends at 31, if you use both hands you can go up to 1,023.(2 votes)

- Who threw in a $20 bill at the end?(2 votes)
- His brother threw the money at him. At least, that's what Vi commented above the video.(3 votes)

## Video transcript

I wasn't serious when I
came up with this idea, but you know how these
things get out of hand. All right, listen up. Each of my fingers is a digit,
but instead of a ones, tens, hundreds, thousands place,
which are the powers of 10, try it again with 1's,
2's, 4's, 8's, 16's. Here I'm counting 1 to 8. Now, instead of 1's and 0's,
just use your fingers, 1, 2, 3. This is how you count
on your hands in binary. Going to make it easy. Write the place values
on my fingertips. Count the ones you see. 4 plus 2, that's 6. 16 plus 2 is 18. You can do it up,
or dance it down. Put those digits on the ground. Now do it with me. 1, 2, 3, 4, 5, 6, 7, 8. Dance it 1, 2, 3, 4, 5, 6, 7, 8. Now, pi and binary
look something like this, 11.001001
dot dot dot. It's not what we're doing. We're taking the
decimal version, putting each digit in binary. Now let's dance us some pi. We got 3, 1, 4. I got my bro doing 3, 1, 4. Got my mama doing 3, 1, 4. Even my grandma's doing 3, 1, 4. [MUSIC PLAYING] All right, 1, 2, 3, 4, 5, 6, 7,
8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23,
24, 25, 26, 27, 28, 29, 30, 31, oh. [MUSIC PLAYING]