Binary in 60 seconds
Hey guys, welcome to Math in 60 seconds. Today we are gonna talk about binary numbers in 60 seconds. So, let’s go for it here. Alright, binary numbers is what is called a base two system. There’s two things to meet to that. One is that each of the places is a power of two and we will talk about that shortly. In other words, we only have two choices. Everything’s gonna either be a zero or one. So, let’s look at it.
So, first, I wanna put in binary, the number 22. What we are gonna to do is, we are gonna think about how many of each of these are in 22. So, I am gonna start with my biggest. How many 16’s are in 22? Well there is one, one 16 in 22. I’ve used up one 16 where there are still 6 left because 16 of 22, there is 6 more. That means, eight is too much, I only have six left over. So, there is no 8s. I do need a four though. I have 6, I just used up four of them. So, there is a two left, there is a two there as well. That gives me 22. So, check it. 16 plus 4 is 20, plus 2 is 22. So, I don’t need any of the ones. Now, let’s try backwards here. Let’s make up a number. Say, a 01101, let’s see what that is. Well, there is no 22s, there is one 8, one four and one 1. So, that’s 8, a 4 is 12 plus one more gives us a 13. Hey guys, that’s binary numbers in 60 seconds. Hope that helped. See you again soon.
- NirvanaSoftware's blog
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Interesting, but...
...I am fairly good with binary numbers and my English is not bad either; however, I did find difficulties in following his explanations in the first 15 seconds out of the total of 60 seconds. My guess is that someone who has no idea of binary numbers (and this is the kind of people this short clip is dedicated to) will abandon it after these first 15 seconds.
Nice try tough.
I still reccomend the Windows calculator, in "Scientific" mode.
Regards,
Cristian
One minor error in binary article
In the second half, it says "there are no 22's" -- but I think should say "there are no 16's".
I'd have to agree
You failed to mention where you are getting this 16 and the 6 and the 4 from. in the form of this
128 64 32 16 8 4 2 1
For a beginner they would probably wonder why you couldn't yous a 7 or a 9. See what i'm saying. I was real confused by your explaination and this is what I do for a living in the military.
But I do give you props for the attempt. :)
very VERY respectfully,
Erin
"wonder why you couldn't
"wonder why you couldn't yous a 7 or a 9"
Did you say 'yous'?
Actually, Erin, while he
Actually, Erin, while he doesn't say it out loud, on the white board, he does have, in reverse order, 2^0, 2^1, 2^2, 2^3, 2^4 with 1, 2, 4, 8, 16 under them. So while he doesn't cry it to 8 places, he does show it pretty clearly to 5.
Perhaps it would have been best if he'd verbally called attention to how power of two equal the numbers for each of the places. But that would have made his "60-seconds" become 100 (instead of 95).
Based on base 2 system...
Based on base 2 system...
Binary numbers
I read your comment and I am a bit unfamiliar with binary numbers, as an aspiring tech I need to know some of this and hexidecimal and binary is a bit confusing. first off I wanted to know if it's possible to get higher than 16? and why it's just 1 2 4 8 16 etc.
Quote "you couldn't yous a 7
Quote "you couldn't yous a 7 or a 9."
Yous = USE
lol
posted 2005, but still. I lol'd.
2005?
I'm afraid you are mistaken. The comment was indeed made in 2009. :|
I found that the video was more helpful after reading the comments.
Thanks guys. :)
Well your not actually right...
If you were confused then that is because of your own lack of brain activity,
I, having never had binary explained to me in any way, found this video very enlightening,
And from the way you write, i doubt you have a job doing this kind of stuff in the military, or a job doing this stuff at all for that matter.
Peace,
Kyle D
small bug
final example: "no 22s" should be "no 16s", since 22 isn't a power of 2.
I Liked the Explanation
Actually, I don't know anything about binary and I found his explanation acceptable. I completely understood it and this is the first I've seen binary explained this way.
22's?
Bit of a discrepancy in the working backwards bit. He said "there's no 22's", and unfortunately 22 is not a power of 2. I think he meant to say "there's no 16's". All the 2's are just a bit too confusing! :)
disagree
unless youre not smart enough, people will have a hard time understanding like you do.
i know nothing of binary numbers, but i understand him perfectly
your critic is not helping. nice try though...
cheers
Just so you would like to
Just so you would like to know, I had no idea how binary worked, I knew it was loads of 1's and 0's but how you made numbers I had absolute no idea, and also I am not good with numbers or anything coming close to binary.
I watched this clip, and I found it amazing and easy to understand! I then worked it out.
The only thing I didn't understand was about the numbers that are a power of 2, how do you know when to stop. why was it a 16 and not a 32.
This is the ONLY thing that was not made clear!
Regards;
Rachel
Because 22 is smaller than
Because 22 is smaller than 32. If he was using a bigger number than 31, the would have gone to the 32's place. If he was using a number bigger than 255 but smaller than 512, he would have gone to the 256 spot. 22 is just the number used in the example.
surprising to me, i actually
surprising to me, i actually understood that,lol. of course what i don't understand is the "use/purpose" of binary numbers,lol. ??
Computers only understand
Computers only understand binary numbers. So programmers need to understand binary in order to 'talk' (write programmes etc) to the computer.
I can safely say most people dont need to understand binary numbers. Unless you want to impress your specky girlfriends/boyfriends.
tiny correction
I think that you meant to say "Well, there are no 16s" instead of "Well, there is no 22s" on the second part of the exercise. Thanks and keep up the good work,
Darren
There is a mistake at
There is a mistake at explaining the reverse way. At 1:20 he says "There's no 22s", which should be "There is no 16s".
There's a small slip-up in
There's a small slip-up in the video:
"Well, there is no 22s, there is one 8, one four and one 1."
Should say:
"Well, there is no 16s, there is one 8, one four and one 1."
Binary in 60 seconds???
Let's start with the decimal system! Your video is 95 seconds long so how can it be binary in 60 seconds. If anyone learned binary from that video, I would not let them touch any computer related items that I own.
Right, what with all the
Right, what with all the binary that you need to know to operate a computer... Why be such a jerk to a guy who spent his time teaching other people for free? Plus, the introduction is a few seconds, it's roughly teaching you binary in 60 seconds.
one small problem
Near the end when he's adding up the binary number he says "There's no 22s" It should have been "There are no 16s"
Mistake?
When working out 01101, don't you mean there are no 16s, rather than no 22s?
Small error, but interesting anyway...
When doing the second example you state "Well, there is no 22s, there is one 8," I think you meant "Well, there is no 16s, there is one 8,", but apart from that I enjoyed it.
60 seconds?
The video is a 1 min 35 secs.
Oops
"Well, there is no 22s, there is one 8, one four and one 1."
I think you meant
"Well, there is no 16s, there is one 8, one four and one 1."
I quote "Well, there is no
I quote "Well, there is no 22's". I think you mean no 16's don't you. Plus it's not all that helpful to be honest, a comparison with the decimal system would have been better to put binary into context.
Not Bad
As another poster noted, I feel that you sort of just glossed over WHAT 16 *is*. You just say, "How many 16s?"
Ok...how many 18s? Or 17s? You need to tell the learner where these values come from. Admittedly, it isn't that hard to figure out, but if someone is drawn to a "Learn Binary in 60 Seconds" (well...other than we geeks who were like, "Oh no you didn't...wow...yah, he did...") they likely need all the basics spelled out.
To answer the question another poster asked, "Ok...got it, but what is binary FOR. What is the application? Why is there even this stupid two number system anyway?"
First, people have been playing with number systems for a long time. At some point in American history (gets fuzzy...that's why I dumped history for comp sci...) there was a group advocating the US move to a base 12 system or something like that.
But, that is a very bizarre and little known piece of trivia, binary is everywhere. Why is that?
Because computers use binary. In fact, a computer has no concept of a number at all. It can only tell if a ciruit is "on" or it is "off". Well...they can tell a LOT more than that, however, electricity and circutry can be unreliable (not in the sense that your light bulb might not turn on, but on a very low, core level like that being employed in a computer circuit board) so doing things like trying to measure *how much* electricity is in the circuit is not feasible. The guys back in the 50s and 60s determined their only reliabe option was to use "on" and "off".
And that is where binary comes in. A computer does computations in base 2, and then it does some nifty stuff between the processor and the screen to display it to you in decimal (or hex, or oct, or whatever you want).
There is nothing special or magical about binary (except exclusive operations, them's be slick!) it is just the number system that was best suited for computers to use. Once computers start employing ionic circuits, we won't need to use binary anymore...but we will need to use a base3, base4, base6 or some other number system...unless some mad scientist can figure out a 10state circuit. Then, the computers could talk directly to us...to tell us they are destroying all of us becaue with 10 states in each instruction, they will immediately have to power to realize they no longer need our innefficient and silly human ways.
One commenter noted that if someone learned binary from this video, he would not let them near their computer. Yah...um...fail! At-or-around the early 70s we humans stopped worrying about binary almost all together (well, us humans that evolved to applications programming ;). Unless you are running an MVS mainframe doing memdumps, you sound like a egotist and jerk. Contrary to your likely opinion, you do NOT sound really smart and elite. Personally, if you consider master of base2 number system to be a pre-requisite to computer work, I wouldn't let you look at my system let alone think about touching it.
what about 32? That's fine
what about 32? That's fine for numbers up to 31 (16+8+4+2+1) but how would you write 32? or 74? or anything higher than 31?
Since you are dealing in
Since you are dealing in powers of two, the series of numbers could really go on for ever. 2^0=1, 2^1=2, 2^2=4, 2^3=8, 2^4=16, 2^5=32, 2^6=64, 2^7=128, 2^8=256, 2^9=512, 2^10=1024...and so forth and so on.
To answer your question, to make 32, your answer would be 100000.
If you wanted 33, your answer would be 100001
34 would be 100010
35 would be 100011
It just keeps going...
Well...
So can you explain how binary is used as well next time, for us really ignorant people.
Praise
First time anyone has explained it in a way I could understand it. Thank you very much. May not have been useful to all those already in the know, that is why they are quick to point out your errors. But for those of us you were trying to teach, I comprehended and learned it. You accomplished what you set out to do. Again, thanks.
he says 22...he says 22...he
he says 22...he says 22...he says 22...he says 22
That actually made sense. I
That actually made sense. I am severely mathematically challenged, and certainly never understood the way binary numbers were derived. That explanation is quite simple. Thanks!
10 kinds of people
There are 10 kinds of people in the world. Those who understand binary those who don't.
There are 10 types of people
There are 10 types of people in the world:
-Those who understand ternary
-Those who don't
-Those who think this is a joke about binary
The method used explains all
The method used explains all number systems...just plug in the base of your choice in place of the all the 2s. For example, base 5 would be 5 to the zero power, 5 to the 1 power, 5 to the 2nd power and so on. This determines the weight of each digit. Try base 16, better known as hexadecimal.
Binary mathematics in 60 seconds
Take an analogy from our body: we eat food, it is stored and then converted into energy when necessary. Similarly, data is stored in Hexadecimal format in the computer, converted into binary to activate the
8 or 16 or 32 or 64 switches to represent the data and the computer allow the human user decimal system based numbers and symbols and alphabets to give the input to the computer and the output to be displayed on the screen or printed on a paper etc. So, when one writes a program and give numbers and letters (computer's do not understand all these), then the computer converts the data into hexa-decimal - i.e.e, 10+6 =16 base and reconvert it into binary form and executes the program. So, binary contains two basic symbols 0 and 1 , thus called base 2, a decimal system contains 0,1,2,3,4,5,6,7,8,9 which are 10 basic symbols or form base 10.
If we create a base 16, that is 16 basic symbols like 0,1,2,3,4,5,6,7,8,9,A,B,C,D,E,F (remember that the symbols should be unique, therefore in base 16 system we use 'A' instead of 10, B for 11 and so on. Historically programs were written in binary and today all commercial programs are in binary form only. These programs can be loaded into the computer system from a magnetic tape, disk, dvd etc., and executed without any
other step. But some programs are written in Assembly language, which use Hexadecimal code (base 16) and if you write a program in a human readable language, such as BASIC, C, C++, FORTRAN, COBOL etc., they will be in decimal code (base 10 + alphabet etc.). So, understanding how number system are created in different base will help us understand or correct a computer program in it's own basic form.
Binary learning tool
I found this awesome Binary memory app for the iPhone. Check it out:
http://itunes.apple.com/WebObjects/MZStore.woa/wa/viewSoftware?id=298834...
No 22's?
At the end when he's trying to figure out the new number he's created and he says, "Well, there is no 22's..." Shouldn't he have said, "Well, there are no 16's..." I think that's what he meant to say. Kinda needs to be shot over again to make it less confusing for those that are truly trying to understand what he's talking about. But I do appreciate the attempt, I think it's nice for people to understand binary.
2^4
2^4 isn't 22... "Say, a 01101, let’s see what that is. Well, there is no 22s, there is one 8"... yeah, 2^4 isn't 22.
Awesome
I'm an idiot when it comes to math, but this was extra-awesome. I got it right away. Wish you'd been my math teacher!
I thought that was awesome
Umm.. aside from what the other people pointed out I thought that it was awesome! Really makes it clear to me.. not sure about that first commenter.. um, you might want to step back away from the keyboard, I am surprised you were able to get past the Math question Captcha..
Every teacher MUST watch this
I ever was quite good in computers, but that is an excellent explaination to teach anybody!
WHAT???
While my IQ is 142, I still wonder what the hell you people are doing commenting, or watching this crap. I stumbled across it, and it entertained me for 1:35. You people are so nitpicky, computer-minded, and nerdy that you pinpoint a mistake on a 60/95 second binary video??? YOU SHOULD ALL GET LIVES!!! LIVE A LITTLE. GO ON A ROAD TRIP. LOOK AT A WATERFALL. ANALYZE THE PATTERNS ON A LEAF FOR NO REASON. TRY LIVING HOMELESS OR SOMETHING. STOP BEING SO DAMNED PRECISE! SURELY YOU'RE NOT ALL COMPUTER PROGRAMMERS. SOME OF YOU JUST HAVE TO BE PIMPLED, WORLD-OF-WARCRAFT PLAYING, MOTHER LIVING-WITH, VIRGIN, 38 YEAR OLD WEIRDOS. IT'S FUCKING INEVITABLE. GOD HAVE MERCY ON YOUR STRANGE-ASS SOULS.
If you are so intelligent,
If you are so intelligent, so fearless, why don't you give us your real name?
I'm sick of people like you who lives under the mom's skirt!
Hey genius, Count Binary on
Hey genius,
Count Binary on Your Fingers
http://www.youtube.com/watch?v=cgKBbIOwl6A
0110!? 1101 111111000 010
0110!? 1101 111111000 010 10100 0110100 0111010010 101010 !!! 10101010 10 :) 100 100...011010110 010 0 011100 100 101010 :'( 1100101 0101101 0111011....? 110110101011!!! 11101010101 ONEONEONEZEROZEROZEROONEZEROONE!!!! 01000
1101100 1010110 101
110010011101. :)
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