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>Sgt; Good day. This is Jim Patel from Columbia Gorge Community College. This is Digital Electronics 1. This lecture is entitled Hex, Octal, BDC, Grays and ASCII Codes. OK, so what I'm going to try to do today is a quick walkthrough of how to use binary numbers, ones and zero sin different combinations to perform some pretty cool things you can do about packaging information together. First and foremost is hex. Hex is a super, super handy shorthand notation for binary. As you guys already probably have seen yourself to stand me do in these lectures. It is really, really hard to rattle off a string of ones and zeros, OK. What hex is and all it is, it×39’s packaging binary data in groups of four so it×39’s readable, OK. Because I can say to you, zero, zero, zero, 1, zero, 1, 1, zero, zero, zero, zero, 1, 1, 1, 1, zero, zero, zero, zero, 1,and you×39’re going to get lost after the first 1, OK. Because the deal is this, I'm not breaking ITU into readable data. If I broke it up in four chunks, in chunks of four, it's easier to kind of put all those puzzle pieces together. What you do is just have a shorthand notation for that where each chunk of four is assigned a single sequential character. And the sequential characters that we use for the first 9,appropriately enough are-- excuse me, the first 10,appropriately enough for zero through 9. So when you got four zeroes, and this is by the way the decimal over here. And decimal, or again we're--we have a problem here because once we get to 9,we have to use two sequential characters, OK. So we don't want to use these two digit sequential characters. In hex, we're going to package them up this way, zero, quadruple zero obviously mean zero, 1, 2, 3, 4, 5, 6, 7, 8, 9,similarities and here. What's the next single digit sequential character beyond 9? It's not 10, OK. So you have to go to a different system. And the system that people used is A, B, C, D, E and F, OK. When I say to you C, H, what I'm saying is 1,1, zero, 1, zero, zero, zero, C8 is a lot easier to understand than, 1, 1,zero, zero, is 1, zero, zero, zero. I mean I just messed even saying that. What IN×39’m saying is C8. Look at C, it's 1, 1, zero, zero. Look at 8, 1, triple zero. All it is, is binary shorthand. To package things into hex to make them readable, just divide it up into groups of four. So let×39’s say I have the 8-bit binary number, like that, how I'm going to divide this up into hex? Well, divide it up into 4 bit usable groups, there's 4, there's 4, OK. What is zero, 1, zero, 1 in hex? Right there, that's a 5. What is 1, 1, zero, 1 in hex? Right there, it's a D. So I can say 5D. What I mean is zero, 1, zero, 1, 1,1, zero, 1, or the 5D,certainly a lot easier to say and to write. Let's take this string and divide that pinto 4 bit usable chunks and put it into hex. And you might be wondering, OK, where do I start? You always start from the LSB because their×39’s 7 bits he, thesis-- because that's the LSB, and that×39’s the MS You can...
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