5 ms·
Writing 1/3 in binary (2014) [video]
- twoodfin 7y agoFlagging as I was redirected in Safari to a malware fake Flash download.
- vo2maxer 7y agoI’m not redirected when I open it in Safari, FF, or Chrome.
- twoodfin 7y agoI'm not getting it now either. Probably got hit with a rotten ad. Unflagged.
- vo2maxer 7y agoThank you for update.
- seandougall 7y agoSame here, for what it's worth -- I got redirected to a fake antivirus download (also in Safari), but only on the first load.
- deleted 7y ago[deleted]
- jp57 7y ago1/11?
- dwheeler 7y agoExactly, I thought the same thing myself. See, that wasn't so hard!! I'll be here all week, try the lamb.
- ivoras 7y agoThat guy knows how to teach.
- stOneskull 7y agoHe's a great dad. Gives me warm feelings
- air7 7y agoPerhaps an easier way would be to just do normal long division just in base 2.
- sgdpk 7y agoThis actually is the long division algorithm. Usually the positional system hides away the powers of 10 (or 2 in this case) so we can do it mechanically and fast. He is just going through the algorithm explicitly.
- jonsen 7y agoAn easier easier way: 1/3 = 0.3333... = 0.????...b *2 = 0.6666... 0 -> 0.0???...b *2 = 1.3333... 1 -> 0.01??...b -1 = 0.3333... *2 = 0.6666... 0 -> 0.010?...b etc.
- dTal 7y agoThis is insightful, but hard to read. Essentially: 1/3 * 4 = 4/3 4/3 = 1 + 1/3 So, working backwards, our number can be more and more closely approximated by repeatedly adding 1 and dividing by 4 - or in binary, prepending a 1 and shifting two places right: 0.01010101...
- air7 7y agoNice. Maybe an easier^3 could be: 1/3 = 0.xyz 4/3 = 1.xyz Meaning (shl,2) leaves the same digits after the decimal point. So it must be 0.010101...
- gumby 7y agoI loved seeing the kid do this. When I was 12 my dad gave me math problems (including long division) in all sorts of bases (he started with hex, octal, and binary but went on to 3, 7, 27, etc). Sadly this was pre IEEE 754 -- I could really have benefitted from that!
- velcrovan 7y agoLoved seeing this video, just gotta quibble with this part of the blog post: > “I think the fun of topics like this can draw kids into math …” Nope, it can't! There is no generally applicable lesson about building math enthusiasm here! “The fun of topics like this” is only legible to kids who are already into math!
- inkeddeveloper 7y agoI'd have to agree here. Show this to a classroom of students and half wouldn't even give attention to an introduction.
- PaulHoule 7y agoI homeschooled my son in math and I found he was fascinated by the way repeating decimals formed cycles. I'm sure that this reinforced his skill at long division. I think may be more fun to do than to watch somebody else do it.
- penagwin 7y agoIn my experience some people just love numbers, myself included. I could spend all day looking at various patterns of prime numbers, server metrics, etc. Other people just.... don’t care numbers at all. Which is really disheartening when you find something really cool and everyone else doesn’t even listen. :(
- kmill 7y agoGauss, too, was excited by the way decimals formed cycles as a kid, and he went on to invent modular arithmetic to completely explain the phenomenon!
- chongli 7y agoThat probably has more to do with the classroom setting than the material. This boy is engaged because he’s learning from his father, one on one. The classroom disengages kids because they don’t get enough attention.
- anreekoh 7y agoSeeing how that kid went about that problem, seeing how interested he seems, makes me want to teach. It's impressive how natural the discussion was with the kid, the two were on exactly the same page throughout the entire discussion. This video doesn't really show that all kids can get this interested in math, but it does show that for the right kids, of which I suspect there are a substantial number, we can be teaching concepts much much earlier.
- etrk 7y agoIf this kid pursues a career in tech, he's going to crush his whiteboard interviews.