How high does the binary dance go? 1023? That's as far as I got but I think I got mixed up.

I'm really not sure, I did it and reached 543. The largest binary number i reached is 32768 (in my head)!

Imagine 100 people all in a line counting in binary. What is the maximum number they can get to?

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.

Could some one explain to me about this handy dance?

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).

does the binary hand dance stop at 31? Or does it surpass 31. In the video Vi stopped at 31

It ends at 31, if you use both hands you can go up to 1,023.

If binary is base two, what about base 3 and so on?

Base three uses 0,1,2. Base 4 uses 0,1,2,3 and so on.

Who threw in a $20 bill at the end?

His brother threw the money at him. At least, that's what Vi commented above the video.

Main content

Course: Math for fun and glory > Unit 1

Lesson 5: Singing (and noises)

Binary hand dance

Name: Binary hand dance
Uploaded: 2012-01-31T01:30:22Z
Description: 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.

Google Classroom

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.

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got.the.giggles000
Posted 12 years ago. Direct link to got.the.giggles000's post “How high does the binary ...”
How high does the binary dance go? 1023? That's as far as I got but I think I got mixed up.
Button navigates to signup pageComment on got.the.giggles000's post “How high does the binary ...”
(171 votes)
Answer
- ExtremeMaster999
  Posted 8 years ago. Direct link to ExtremeMaster999's post “I'm really not sure, I di...”
  I'm really not sure, I did it and reached 543. The largest binary number i reached is 32768 (in my head)!
  Comment on ExtremeMaster999's post “I'm really not sure, I di...”
  (3 votes)
David Elijah de Siqueira Campos McLaughlin
Posted 12 years ago. Direct link to David Elijah de Siqueira Campos McLaughlin's post “What's the music called?”
What's the music called?
Button navigates to signup pageComment on David Elijah de Siqueira Campos McLaughlin's post “What's the music called?”
(10 votes)
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h
Posted 5 years ago. Direct link to h's post “Soo... you’re teaching th...”
Soo... you’re teaching the children to do the middle finger? 😅😂
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(7 votes)
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LYDIA777
Posted 9 years ago. Direct link to LYDIA777's post “Imagine 100 people all in...”
Imagine 100 people all in a line counting in binary. What is the maximum number they can get to?
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(3 votes)
Answer
- Tejas
  Posted 9 years ago. Direct link to Tejas's post “Well, each one of the peo...”
  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.
  Comment on Tejas's post “Well, each one of the peo...”
  (8 votes)
Jaden Noronha
Posted 10 years ago. Direct link to Jaden Noronha's post “Could some one explain to...”
Could some one explain to me about this handy dance?
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(3 votes)
Answer
- Tejas
  Posted 10 years ago. Direct link to Tejas's post “Each finger on your hand ...”
  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).
  Comment on Tejas's post “Each finger on your hand ...”
  (5 votes)
anan
Posted 11 years ago. Direct link to anan's post “If binary is base two, wh...”
If binary is base two, what about base 3 and so on?
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(2 votes)
Answer
- David Elijah de Siqueira Campos McLaughlin
  Posted 11 years ago. Direct link to David Elijah de Siqueira Campos McLaughlin's post “Base three uses 0,1,2. Ba...”
  Base three uses 0,1,2. Base 4 uses 0,1,2,3 and so on.
  Comment on David Elijah de Siqueira Campos McLaughlin's post “Base three uses 0,1,2. Ba...”
  (5 votes)
shubhraneelpal@gmail.com
Posted 8 years ago. Direct link to shubhraneelpal@gmail.com's post “So can I count up to 2^24...”
So can I count up to 2^24 (16777216) using my fingers, toes, hands and legs.
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(4 votes)
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- Mikuro Mitsuki 未黒巳月
  Posted 8 years ago. Direct link to Mikuro Mitsuki 未黒巳月's post “Yes! Have a go and time h...”
  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.
  Comment on Mikuro Mitsuki 未黒巳月's post “Yes! Have a go and time h...”
  (1 vote)
Sisroks Elric (Superwholockian)
Posted 10 years ago. Direct link to Sisroks Elric (Superwholockian)'s post “Is your brother really Ch...”
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
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(4 votes)
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Giya
Posted 10 years ago. Direct link to Giya's post “does the binary hand danc...”
does the binary hand dance stop at 31? Or does it surpass 31. In the video Vi stopped at 31
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(3 votes)
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- Anthony Avram
  Posted 10 years ago. Direct link to Anthony Avram's post “It ends at 31, if you use...”
  It ends at 31, if you use both hands you can go up to 1,023.
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  (2 votes)
g james
Posted 10 years ago. Direct link to g james's post “Who threw in a $20 bill a...”
Who threw in a $20 bill at the end?
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- david.j.jung
  Posted 10 years ago. Direct link to david.j.jung's post “His brother threw the mon...”
  His brother threw the money at him. At least, that's what Vi commented above the video.
  Button navigates to signup page
  (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]