Subtitles of the Movie

Binary numbers are actually the only thing your computer understands. Now binary numbers don't make a whole lot of sense when you first see them. So I want to show you the real simple way to understand binary. Now this is not going to be mathematical or scientific. I just want to show you, and this is the one that made sense to me, okay. So you may want to go out there and, and do a Google search on binary numbers and look at some of the math behind it. But let me show you what's happening here. First of all, this number that you're looking at is actually the number 99. So let's talk about how we get the number 99 out of this. Well, first of all the first thing you will need to understand is that binary numbers are actually switch positions, if you will, and we read them from right to left. So here's what I want you to notice. First of all this first position represents the number one. The second position represents the number two; the third, number four, you see a pattern here; each of these are doubling every time as we go across, and so what we see here then is that this binary number is actually a series of switches and we use as many switches as we need to represent our number. So how do we get 99 out of this? Well, notice, we've got the number one, that, that switch is turned on because there's a one here so we count that as one, okay. The second switch which equals number two is turned on so we've got two, so two plus one. Then we get all the way down here, the 32 switch is turned on so we have to add that, and the 64 switch is turned on. So if you add these up, one plus two, and I'm going to draw circles around these. So, one plus two, plus thirty-two, plus sixty-four equals 99. Let me take my scribbling off and make sure that makes sense to you. Simply by turning on the positions; think of zeros and ones as ons and offs and the farther we do from right to left we are simply increasing the number of numbers that we can use, and these double, one, two, four, eight, 16, 32, 64, 128. Which means that this number, and this is one, two, three, four, five, six, seven, eight numbers, so an 8-bit binary number can store 128 plus 64 plus 32 plus 16 plus 8 plus 4 plus 2 plus one. And that comes up to 255. So we can actually store 256 numbers with 8 bits because we can store zero all the way up to 255. So it makes sense? So just by which switch we turn on. Now, if we want to more than 255 we will simply add another one here, and this goes from 120, that would be the 256 position, and then the 1012 position and so forth. So let's take a look at another example on this in case I've totally confused you. What about this number? Any ideas on what this is? Okay. Time's up. This is the binary representation of the number 10. How do we know that? Let's look at the positions. Let's start from the right and let's count them. There's the one position, the two, the four, and the eight. So look at which positions are turned on. The eight and the two. So two plus eight equals ten, because the one says, Okay. This one's on, and it's worth two. This one's on and it's worth eight, since we started from here and counted this way. Then, there's our, ah and I can't draw an arrow here with this ah mouse like this, but you understand where I'm going, we're, we're headed this way. Eight and two is ten. Binary numbers are pretty easy once you get the hang of looking at them, but they're still a little bit of a mathematical trick for humans to figure out. Okay. Now, there is something that you can do. You can use the Windows calculator to convert numbers back and forth between binary. And let me show you how to do that real quickly. So what I've done is I've opened Windows calculator and if you'll notice on the view selection in the menu, I have to choose scientific. Let me drag this over here so you can see it. And so, under scientific you'll notice there's a BIN. Well let's put the number 10 in here, ah like we just did. I'm just put the number 10 in the calculator and then just click on the little binary radio button and notice it converted it. Okay? 101010. Okay. And if I go back to decimal, I can see that's a 10. Well, let's do something kind of fun here. Let's get into binary and let's just put a number in like this one, okay. And we convert it to decimal, that's the number 851. So if we figure these out, now notice here, here's one, two, four, eight, 16, 32, here's 64, right? 128, you know so you just keep working these across and you can see that we have represented the number 851. Now you can use Windows calculator pretty easily ah to get this ah figured out. The next thing, just, this has nothing to do with the course, just kind of fun. There is a T-shirt out there that's very popular and this is what it says: There are, and notice it appears to say, There are ten types of people in the world: those who know binary and those who don't. And of course, this is actually binary for the number two. So if you want to be a real nerd, get yourself that T-shirt, it's out there on the Internet, and I can't remember the name of the company, but just do a search. So, anyway, there's two types of people in the world. Those who know binary and those who don't. Binary numbers are pretty easy. Ah, they, they can trip you up ah after you look at them for a little while, but again, this is how your computer is thinking. This is everything that is happening inside there, it's what's being stored on the hard disk. Okay. So that's just a real brief, very simplified treatment of binary numbers, and again, you might want to go out to Google, do a search on binary numbers and do a little bit of reading on it. Now there won't be a lot of this on the test. I don't even remember if you even have binary numbers on the A Plus exam. I didn't see any questions when I took it, but ah, you still need to understand how these things work.