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I just said, hey, I just happen to know what this is. I'll show you a way later. Good question, though. Yeah. OK. That's one way to count. Good answer. Yeah. I was about to say, yeah. OK. So you also like the third one. Sorry, but we didn't agree on a metric. If we don't agree how to measure things, then all answers are wrong, right? It's the same sort of game you can play with, add the numbers between 1 and 3 or something. | [
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] |
Sorry, but we didn't agree on a metric. If we don't agree how to measure things, then all answers are wrong, right? It's the same sort of game you can play with, add the numbers between 1 and 3 or something. So until you talk about a metric, it doesn't really make sense to say what's best. And there are actually quite a few metrics people care about. So in digital design, usually they care about the first three at least. | [
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And there are actually quite a few metrics people care about. So in digital design, usually they care about the first three at least. What's the area? Because that'll be the cost of fabbing the chip. So how big is it? How fast does it go? If it's very slow, maybe it's not worth making. Got to be competitive. Power energy consumption, if your battery on your cell phone is only going to last half an hour, you're probably pretty unhappy. | [
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Got to be competitive. Power energy consumption, if your battery on your cell phone is only going to last half an hour, you're probably pretty unhappy. So all three of these are important. Which one's the most important depends on the context, depends what you're trying to do. And as an engineer, you're usually going to have to balance between them. Yeah. Will you give anybody a hint? Not necessarily, no. | [
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Yeah. Will you give anybody a hint? Not necessarily, no. So in our class, we're only, we'll talk about it more in a few minutes. In our class, we're going to talk mostly about area and performance. And you can trade those off pretty well against each other. And the last one is complexity reliability. So we'll talk about all four of these a little bit. But we need to use heuristics. So why are we using heuristics? And what are heuristics anyway? So in practice, actually making a measurement, saying, well, look, let's just build all the designs. | [
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But we need to use heuristics. So why are we using heuristics? And what are heuristics anyway? So in practice, actually making a measurement, saying, well, look, let's just build all the designs. And then we'll go measure them. That's kind of expensive. So in particular, if you were a cell phone manufacturer and you want to create a new cell phone and you need to do some chip fabrication, that process with all the engineering costs is about $50 to $100 million. | [
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That's kind of expensive. So in particular, if you were a cell phone manufacturer and you want to create a new cell phone and you need to do some chip fabrication, that process with all the engineering costs is about $50 to $100 million. If you're going to sell 5 million of those cell phones, yeah, big deal. That's OK. A few dollars per phone, yeah, we could cover that. If you're not going to sell a few million of those, you're not going to be able to afford it. | [
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A few dollars per phone, yeah, we could cover that. If you're not going to sell a few million of those, you're not going to be able to afford it. Just building it, just the mask cost, the thing that allow you to fabricate the semiconductor chips, will cost you a few million dollars these days on the high-end processes. So instead, we want to make a guess before we go build something. | [
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Just building it, just the mask cost, the thing that allow you to fabricate the semiconductor chips, will cost you a few million dollars these days on the high-end processes. So instead, we want to make a guess before we go build something. So we'll use something called a heuristic, which allows us to estimate a measure. So what makes a good heuristic? Well, you'd like it to be reasonably accurate. | [
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So we'll use something called a heuristic, which allows us to estimate a measure. So what makes a good heuristic? Well, you'd like it to be reasonably accurate. But maybe more importantly, you want it to be monotonic relative to the real measurement. So if I get a bigger number out of the heuristic, I should get a bigger number out of the real measurement. And as long as it had that monotonicity property, probably a reasonably good heuristic. | [
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So if I get a bigger number out of the heuristic, I should get a bigger number out of the real measurement. And as long as it had that monotonicity property, probably a reasonably good heuristic. So let's take a look at a couple of heuristics for our class. So here's one for area. So take your expression and count up the number of literals. Literals are variables or they're complements. | [
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-0.0014279461465775967,
-0.005388025660067797,
0.001040287665091455,
-0.031571581959724426
] |
So take your expression and count up the number of literals. Literals are variables or they're complements | [
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] |
But maybe more importantly, you want it to be monotonic relative to the real measurement. So if I get a bigger number out of the heuristic, I should get a bigger number out of the real measurement. And as long as it had that monotonicity property, probably a reasonably good heuristic. So let's take a look at a couple of heuristics for our class. So here's one for area. So take your expression and count up the number of literals. | [
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So here's one for area. So take your expression and count up the number of literals. Literals are variables or they're complements. So count up the number of literals, and then add the number of operations, not including the complemented literals, so just ands and ors, or other operations would be fine, too. So why does that work? Why is that a good heuristic? So if you think about what we just saw with gate design, every time you have an input to a gate, it's going to be two transistors, one n-type, one p-type. | [
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So count up the number of literals, and then add the number of operations, not including the complemented literals, so just ands and ors, or other operations would be fine, too. So why does that work? Why is that a good heuristic? So if you think about what we just saw with gate design, every time you have an input to a gate, it's going to be two transistors, one n-type, one p-type. So you get kind of a transistor count. | [
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So why does that work? Why is that a good heuristic? So if you think about what we just saw with gate design, every time you have an input to a gate, it's going to be two transistors, one n-type, one p-type. So you get kind of a transistor count. Operators and operators, if you have an AND gate feeding into an OR gate, same thing. That output to the input, two transistors in the OR gate. | [
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Operators and operators, if you have an AND gate feeding into an OR gate, same thing. That output to the input, two transistors in the OR gate. You're basically transistor counting. Wires also take space, so this is not the best heuristic in the world. But it's a pretty good one for just looking at an expression and figuring out how big it should be. So let's go ahead and calculate area heuristic for those three forms of F. | [
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] |
But it's a pretty good one for just looking at an expression and figuring out how big it should be. So let's go ahead and calculate area heuristic for those three forms of F. So what about the first one? How many literals do I have? So you have to count all of them. So this term alone counts for three. So just having A twice, those are going into different gates. So each of those will cause two transistors, two transistors, two transistors. | [
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So just having A twice, those are going into different gates. So each of those will cause two transistors, two transistors, two transistors. So just literally count the number of letters. You get nine, right? How many operators? So here, it's a little trickier. Don't worry about the number of inputs. So for example, this OR is one three-input OR. And the ANDs for the minterms, those are one three-input AND each. | [
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So for example, this OR is one three-input OR. And the ANDs for the minterms, those are one three-input AND each. So you have four, right? Three ANDs and one OR. So total, about 13. What about the second expression? How many literals? Or how many operators? Three, right? Two ORs and one, I'm sorry, two ANDs and one OR. So total, seven. And then the last one? Three literals, two operators. | [
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So total, seven. And then the last one? Three literals, two operators. Good, so five. So from area point of view, our heuristic tells us, OK, that last one is probably the best. Fewest transistors. Now, a second metric you might care about is speed. So here's a way you can estimate speed. You look at, here we only have one output. But in a bigger system, you might have many outputs. | [
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You look at, here we only have one output. But in a bigger system, you might have many outputs. You look the longest path in terms of how many gates from any input to any output. Don't count complemented literals if they're free. Sometimes they might not be free. So you kind of have to know what you're using the system in. Why does this work? Your gate takes time, right? For currents to flow across wires, they're not instantaneous. | [
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So you kind of have to know what you're using the system in. Why does this work? Your gate takes time, right? For currents to flow across wires, they're not instantaneous. It takes time. So the time it takes one gate to change its output, we call a gate delay. It'll change with a semiconductor process. It gets faster over time. But it'll always be finite. It'll always take some amount of time. | [
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But it'll always be finite. It'll always take some amount of time. So we'll call that time a gate delay | [
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Sometimes they might not be free. So you kind of have to know what you're using the system in. Why does this work? Your gate takes time, right? For currents to flow across wires, they're not instantaneous. It takes time. So the time it takes one gate to change its output, we call a gate delay. It'll change with a semiconductor process. It gets faster over time. But it'll always be finite. | [
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It gets faster over time. But it'll always be finite. It'll always take some amount of time. So we'll call that time a gate delay. And if we count gate delays in our design, we can estimate the speed at which we could use that system. So let's do that again for our functions here. So in the first one, we have maybe these complements. So that could be one. And then going into the ands, and then that goes into the ors. | [
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So that could be one. And then going into the ands, and then that goes into the ors. So two or three. Yeah. What's the operation? The operation? You mean the area? Yeah. Correct. Yeah. So basically, an and consisting of any number of terms, of any number of factors, is one. Same thing for an or. So the ors are a little trickier to figure out. But any sequence of terms with pluses between them is one. | [
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So the ors are a little trickier to figure out. But any sequence of terms with pluses between them is one. So that would be a multi-input or gate, basically. Yeah, here we leave out the complements. You'll see in about maybe three weeks that often these are free. So often, if you have a, you'll also have a prime available on a different wire. So that's why. But I know it's not clear now why, but just don't count them because they're usually free in most digital systems. | [
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So that's why. But I know it's not clear now why, but just don't count them because they're usually free in most digital systems. So here in the first one, we had three minterms. Each of those requires an and gate to calculate it. And then we have one or to bring together all three. So three ands and an or. This one is two ands and one or. This one is one or followed by one and. So let's go now count delays. | [
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] |
This one is one or followed by one and. So let's go now count delays. So here we've got, in the first line, again, two or three. So we've got the ands, we have the or, and then we might need to calculate complemented literals. So let's just say two or three. Here, we have just and followed by or. There's no complements, so definitely two, whether they're free or not. And then the last one, we have an or followed by an and, so again, definitely two. | [
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There's no complements, so definitely two, whether they're free or not. And then the last one, we have an or followed by an and, so again, definitely two. No complements either. So here, these last two designs are the best for delay. Yeah, so we're just counting gates. So I thought about drawing them for you, which will make it easier to just point at physical gates. But the B plus C, for example, is one or gate. | [
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So I thought about drawing them for you, which will make it easier to just point at physical gates. But the B plus C, for example, is one or gate. That output of that or gate goes into an and gate. The output of that and gate is F. We have two gate delays. Similarly for the bigger ones. So the simple heuristic is you simply count the number of gates along the longest path. So you're just counting gates, and you just say it's gate delays. | [
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So the simple heuristic is you simply count the number of gates along the longest path. So you're just counting gates, and you just say it's gate delays. In real systems, if you want more accurate estimates, things with fan in or fan out above four will be slower. But we don't need to worry about that for our class. Yes? AUDIENCE MEMBER 2 So the two and gates can execute in parallel. | [
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] |
But we don't need to worry about that for our class. Yes? AUDIENCE MEMBER 2 So the two and gates can execute in parallel. So it's the longest path from any input to any output. But one path will go through one and gate from A. The other path will go through a different and gate | [
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In real systems, if you want more accurate estimates, things with fan in or fan out above four will be slower. But we don't need to worry about that for our class. Yes? AUDIENCE MEMBER 2 So the two and gates can execute in parallel. So it's the longest path from any input to any output. But one path will go through one and gate from A. The other path will go through a different and gate. | [
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But one path will go through one and gate from A. The other path will go through a different and gate. But both paths will only have two gates on them. So there's the second equation. So for anything on this side, basically, it'll be through two gates to get to F. So in this case, we have a clear winner. Yeah? AUDIENCE MEMBER 3 I mean that one's the first one? Yes. AUDIENCE MEMBER 3 One or? Yes. | [
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Yeah? AUDIENCE MEMBER 3 I mean that one's the first one? Yes. AUDIENCE MEMBER 3 One or? Yes. AUDIENCE MEMBER 3 If they go through the other one? Yes. So three three input and gates, and one three input or gate for the first expression. AUDIENCE MEMBER 4 What are the time delays? For the gate delays, the complements would be the third one. And so if they're free, it's two. And if they're not free, it's three. | [
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And so if they're free, it's two. And if they're not free, it's three. But these expressions don't have anything complemented. So they're two, regardless of whether or not the complements are free. OK. In this case, we have a clear answer. The answers are not always that simple. If you want a simple expression where you have to choose between speed and area, just look in section 211 of the notes. | [
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The answers are not always that simple. If you want a simple expression where you have to choose between speed and area, just look in section 211 of the notes. And there's an example there done out the same way, where one is faster and one is smaller. So you have to pick. We'll see a lot more of that kind of trade-off later in our class, too. And in practice, we're going to be a lot more of that kind of trade-off later in our class, too. | [
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We'll see a lot more of that kind of trade-off later in our class, too. And in practice, we're going to be a lot more of that kind of trade-off later in our class, too. And in practice, this is the kind of thing people have to do all the time. So there's a starred section I took from one of our former PhD students' PhD thesis, showing trade-offs for computer processor architecture designs. | [
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And in practice, this is the kind of thing people have to do all the time. So there's a starred section I took from one of our former PhD students' PhD thesis, showing trade-offs for computer processor architecture designs. So you can see the graphs. And you can see the kind of things people do in the research. It's a starred section, right? So don't feel obliged to read it. But if you're interested in thinking about how you do this kind of stuff, there is a little bit in there on that. | [
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It's a starred section, right? So don't feel obliged to read it. But if you're interested in thinking about how you do this kind of stuff, there is a little bit in there on that. OK. Another question? Yeah, go with one. Two slides back. OK, so remember when we talked about the complemented literals, I said you should count the complements if they're not free. So if they're not free, you have to use an inverter. | [
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OK, so remember when we talked about the complemented literals, I said you should count the complements if they're not free. So if they're not free, you have to use an inverter. An inverter is a gate. So that's a gate delay. So draw this one then. Oh, this one's bigger, huh? OK. OK. So what are they? A, B prime, C, and then A, B, C prime, and then A, B, C, right? And this is F. So this is the first expression. | [
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So what are they? A, B prime, C, and then A, B, C prime, and then A, B, C, right? And this is F. So this is the first expression. So you can see now the inverters take a gate delay. So if those are free, if the complemented inputs are free, I don't have to pay for the inverter. So that would be two. If the complemented inputs are not free, I have to invert the A and B inputs. I'm sorry, B and C inputs. | [
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If the complemented inputs are not free, I have to invert the A and B inputs. I'm sorry, B and C inputs. And that'll take a gate delay. Yeah | [
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] |
So this is the first expression. So you can see now the inverters take a gate delay. So if those are free, if the complemented inputs are free, I don't have to pay for the inverter. So that would be two. If the complemented inputs are not free, I have to invert the A and B inputs. I'm sorry, B and C inputs. And that'll take a gate delay. Yeah. Is it a diagram? No, because that's an assumption. | [
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Yeah. Is it a diagram? No, because that's an assumption. So in this diagram, it's not free. In the diagram, I drew them explicitly. If they were free, then I would simply connect C prime to here. So I mean, I can change the diagram to explain it. But that diagram assumes they're not free. Yeah. It's not sure. Yeah, so the question is, can you break your complex circuit into pieces and analyze each of the pieces? Absolutely. | [
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It's not sure. Yeah, so the question is, can you break your complex circuit into pieces and analyze each of the pieces? Absolutely. Yeah, so as you'll see, even in a week or two, we're going to start to build components. And so often, people will design pieces. In fact, most designers are using a standard gate library. So they're not really going down to transistor level and optimizing. | [
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In fact, most designers are using a standard gate library. So they're not really going down to transistor level and optimizing. A couple companies, Intel, Samsung, Apple, actually do custom logic these days. But almost no one else does. And even beyond that, when you get into 385, you'll be writing something C code-like to design your hardware. So you'll say plus, and that'll pop down an adder for you. | [
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And even beyond that, when you get into 385, you'll be writing something C code-like to design your hardware. So you'll say plus, and that'll pop down an adder for you. Yeah. Would you like to talk about the C++? In office hours, if you want to. OK, so power and complexity. So I just wanted to talk briefly about these. You'll notice the stars at the top. It's beyond the scope of our class to talk about power consumption. | [
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] |
You'll notice the stars at the top. It's beyond the scope of our class to talk about power consumption. It's too complicated to throw into 120. But if you're interested, when current flows, current flows when you switch your transistors on and off. Current has to flow to bring the voltage at the output down or up. And so that consumes energy. Goes through there, burns heat in the resistance. | [
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And so that consumes energy. Goes through there, burns heat in the resistance. And you can estimate the number of times that happens in a simulator and use that to estimate your power. So that's what a lot of the design tools do for you. In 385, you'll see that, and you can play with it. Complexity, the fourth measure I mentioned, is kind of hard to measure. No one really has a quantitative way to do that. | [
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Complexity, the fourth measure I mentioned, is kind of hard to measure. No one really has a quantitative way to do that. So it's usually based on experience. It's based on people knowing how hard will it be to make this work. In practice, we just have a couple minutes left. In practice, there's a lot of funny stuff in the industry. So for example, a lot of the Intel processors had what were called chicken switches. | [
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In practice, there's a lot of funny stuff in the industry. So for example, a lot of the Intel processors had what were called chicken switches. So they implemented, for example, multithreading, parallelism in their processors. And then they released them, but they were worried it would break. So they didn't turn it on. So they just left them off. A year or two worth of processors, they just had it turned off. | [
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So they just left them off. A year or two worth of processors, they just had it turned off. And everything was ready. It had all the logic circuits. It had all the transistors ready to go. Just they were scared that it would break, and then they would lose a lot of money if a customer is getting angry. And so they turned it off. So there's a lot of that, actually, in the real industry. | [
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And so they turned it off. So there's a lot of that, actually, in the real industry | [
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So they didn't turn it on. So they just left them off. A year or two worth of processors, they just had it turned off. And everything was ready. It had all the logic circuits. It had all the transistors ready to go. Just they were scared that it would break, and then they would lose a lot of money if a customer is getting angry. And so they turned it off. So there's a lot of that, actually, in the real industry. | [
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And so they turned it off. So there's a lot of that, actually, in the real industry. And a lot of that is just based on whether people think it's going to work and whether they think it's going to be viable to actually develop it and test it and make sure it works in the hardware. So I'm sorry? Oh, of course they tested it. And they found that it wasn't reliable enough for them to turn it on in the product. | [
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So I'm sorry? Oh, of course they tested it. And they found that it wasn't reliable enough for them to turn it on in the product. And they wanted to get the product out the door. Yes, of course they tested it. Yeah. Yeah, they always test it. Don't worry. There's actually a lot more testing in hardware because bugs can be in the design, but bugs can also be in the fabrication process. | [
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Don't worry. There's actually a lot more testing in hardware because bugs can be in the design, but bugs can also be in the fabrication process. | [
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Iawn, mae'n mynd i'r rhan fwyaf o'r gwrthwyneb hefyd. Mae'r adswyth oliau ac aliadu haethiad chyda dim lle Dewis Aelodau y Gallfrin yma roedd y rhan fwyaf o edrych ond nid yr un topAsiannaf yno. Ond mae'r E illum wrth gwrth gwael ryw fath bach yn y stopash yn y meddwl, yn oerthin i'ra fân yma a meddwl fy mod ynל swyddo at yr gwaith llwyd. 40%, er mwyn ddweud y byddwn yn ddwy munud. Felly, diolch am hynny. | [
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40%, er mwyn ddweud y byddwn yn ddwy munud. Felly, diolch am hynny. Iawn. Felly, byddwn yn gwneud chalk. Felly, rwy'n am gynllunio'r ddau ddau byth o'r cynllun, yr holl slidau Powerpoint ar gael, felly os ydych chi eisiau gweld y rhai hwnnw nesaf, dyna'n iawn. Unwaith ddweud y gwnaethom ychydig o'r hynny, mae'n bwysig iawn, ac mae'r projectorau'n deimlo'n ddod allan, felly, yn hytrach na'n dod ymlaen ar y 20 munud arall, mae'n bwysig iawn uchwichwyl iawn. | [
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Felly, rwy'n am gynllunio'r ddau ddau byth o'r cynllun, yr holl slidau Powerpoint ar gael, felly os ydych chi eisiau gweld y rhai hwnnw nesaf, dyna'n iawn. Unwaith ddweud y gwnaethom ychydig o'r hynny, mae'n bwysig iawn, ac mae'r projectorau'n deimlo'n ddod allan, felly, yn hytrach na'n dod ymlaen ar y 20 munud arall, mae'n bwysig iawn uchwichwyl iawn. O ran a ffordd fyddwn i'n gwrthodi'r garch ymgynghoriad, ond mae ddewis g Schulder yn rhan, i chi. | [
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Unwaith ddweud y gwnaethom ychydig o'r hynny, mae'n bwysig iawn, ac mae'r projectorau'n deimlo'n ddod allan, felly, yn hytrach na'n dod ymlaen ar y 20 munud arall, mae'n bwysig iawn uchwichwyl iawn. O ran a ffordd fyddwn i'n gwrthodi'r garch ymgynghoriad, ond mae ddewis g Schulder yn rhan, i chi. Byddwch yn maneiraidd iukiwch ddry KP Southwest wedi'i benodoli a fyddwch yn y phone chwbod ydych chi eisiau ein cwitho ac yn dylunio'r garch. | [
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Felly roeddem yn eisiau mynd drwy'r string. Roeddem yn cael nifer o ddifrifnau gwahanol, felly un o'r ddifrifnau, er enghraifft, oedd i'r un ddifrifnau a'r ddifrifnau ddifrifnau ddim, gan fod y ddifrifnau ddifrifnau yn un categori, i'r un ddifrifnau yn y string. Felly gallwn ni sefydlu rhywfaint o sum i ddifrifnau yma. Os yw'r ddifrifnau'n cyfathrebu â'r llyfr neu'r ddifrifnau ddim, yna sefydlu sum i sum plus un, ac yna pan ydych chi'n gwblhau'r holl string, yna gallwch chi ddifrin neu gosod y sum fel y llyfr yma, neu fel yr holl lyfrau. | [
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Felly gallwn ni sefydlu rhywfaint o sum i ddifrifnau yma. Os yw'r ddifrifnau'n cyfathrebu â'r llyfr neu'r ddifrifnau ddim, yna sefydlu sum i sum plus un, ac yna pan ydych chi'n gwblhau'r holl string, yna gallwch chi ddifrin neu gosod y sum fel y llyfr yma, neu fel yr holl lyfrau. Felly dyma'r ffordd y gwnaethom ei wneud yn ddiwylliannol fel dynion. Os edrychon ni ar y string gwaith, byddwn yn dweud, wel, os ydw i eisiau edrych ar a, byddwn yn edrych ar y holl string, gweld pa mor a'r ydw i'n ei weld yn adroddio'r nifer honno. | [
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Felly dyma'r ffordd y gwnaethom ei wneud yn ddiwylliannol fel dynion. Os edrychon ni ar y string gwaith, byddwn yn dweud, wel, os ydw i eisiau edrych ar a, byddwn yn edrych ar y holl string, gweld pa mor a'r ydw i'n ei weld yn adroddio'r nifer honno. Yr ail, os oeddem am wneud Patent Patel, ddewisom ein bod ni'n gobeithio gwneud rhywbeth ychydig wahanol yn ystod, sy'n rhywbeth fel yr ysgafn. | [
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Os edrychon ni ar y string gwaith, byddwn yn dweud, wel, os ydw i eisiau edrych ar a, byddwn yn edrych ar y holl string, gweld pa mor a'r ydw i'n ei weld yn adroddio'r nifer honno. Yr ail, os oeddem am wneud Patent Patel, ddewisom ein bod ni'n gobeithio gwneud rhywbeth ychydig wahanol yn ystod, sy'n rhywbeth fel yr ysgafn. Felly dychwelywch 27-byn histogram, ddod â'i gyflwyno gyda ddifrifnau, ac yna mynd drwy'r llyfr unwaith, mynd drwy'r llyfr fawr unwaith, edrychwch ar bob unigol, a ddewis pa ffordd o unigol mae'n ei wneud, os yw'n llyfr yn unigol neu'n llyfr ddim, ac yna addu un i'r bin cywir. | [
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Yr ail, os oeddem am wneud Patent Patel, ddewisom ein bod ni'n gobeithio gwneud rhywbeth ychydig wahanol yn ystod, sy'n rhywbeth fel yr ysgafn. Felly dychwelywch 27-byn histogram, ddod â'i gyflwyno gyda ddifrifnau, ac yna mynd drwy'r llyfr unwaith, mynd drwy'r llyfr fawr unwaith, edrychwch ar bob unigol, a ddewis pa ffordd o unigol mae'n ei wneud, os yw'n llyfr yn unigol neu'n llyfr ddim, ac yna addu un i'r bin cywir. Felly ar gyfer pob unigol yn y llyfr, cynyddu'r bin cywir ar gyfer y unigol. | [
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Felly dychwelywch 27-byn histogram, ddod â'i gyflwyno gyda ddifrifnau, ac yna mynd drwy'r llyfr unwaith, mynd drwy'r llyfr fawr unwaith, edrychwch ar bob unigol, a ddewis pa ffordd o unigol mae'n ei wneud, os yw'n llyfr yn unigol neu'n llyfr ddim, ac yna addu un i'r bin cywir. Felly ar gyfer pob unigol yn y llyfr, cynyddu'r bin cywir ar gyfer y unigol | [
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Rydw i'n mynd i geisio dod yn ôl i hyn a gweld a oes ganddo. Oh, nawr mae'n mynd i ddod o'r amser i mi. Wel, mae hynny'n cymhwysol. Wel, dwi'n mynd i geisio siarad â phan o'r bwrd. Sori am hyn. Mae Phil Crine wedi mynd i China, felly dyma ddim yn gallu ei gysylltu â nhw. Mae Phil Crine wedi dyluni'r adeilad hwn. Na, dydy'r maic ddim yn gweithio er mwyn bod y system yn ei wneud. Felly, os nad ydw i'n siarad yn llawn, dweud wrthym i mi a byddwn yn siarad mwy. | [
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Na, dydy'r maic ddim yn gweithio er mwyn bod y system yn ei wneud. Felly, os nad ydw i'n siarad yn llawn, dweud wrthym i mi a byddwn yn siarad mwy. Mae'n ei wneud, mewn gwirionedd, ond pan fydd y system yn ei wneud, sy'n cymryd unrhyw 5 munud neu rhywbeth, byddai'n mynd i ddod â'r maic. Iawn. Y rhesymau y gofyn i mi ddod â'r broblem honno oedd, yn unol, roeddwn i am ddangos penderfyniad control cyflawniol trwy gweithio â'r adeiladau. | [
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Iawn. Y rhesymau y gofyn i mi ddod â'r broblem honno oedd, yn unol, roeddwn i am ddangos penderfyniad control cyflawniol trwy gweithio â'r adeiladau. A gadewch i mi weld a fyddai'n... Na, nid ydy'n mynd i'w gwneud | [
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Iawn. Y rhesymau y gofyn i mi ddod â'r broblem honno oedd, yn unol, roeddwn i am ddangos penderfyniad control cyflawniol trwy gweithio â'r adeiladau. A gadewch i mi weld a fyddai'n... Na, nid ydy'n mynd i'w gwneud. Ond roeddwn i'n ei ddweud yn HDMI, felly dwi'n mynd i ddod â'r un hwn yn ôl i mewn a gweld a fydd yn swycio arno i mi. Iawn, felly... oh, a oedd hwnna'r maic? Rwy'n credu bod hwnna'n maic, o'n i'n ddweud? Felly, mae ein rhaglen cyhoeddus yn rhoi'r rhan gyntaf o'r de-gwneud, o'n i'n dweud, wel, rhaid i ni gyntaf gynhyrchu'r histogram. | [
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. oh, a oedd hwnna'r maic? Rwy'n credu bod hwnna'n maic, o'n i'n ddweud? Felly, mae ein rhaglen cyhoeddus yn rhoi'r rhan gyntaf o'r de-gwneud, o'n i'n dweud, wel, rhaid i ni gyntaf gynhyrchu'r histogram. Rhaid hefyd i ni gynhyrchu rhai rhaglenau. Felly, nid oeddwn yn siarad am defnyddio rhaglenau yn ôl. Fe wna i ddysgu sut y byddwn yn defnyddio'r rhaglenau. Mae'r hyn yn deimlo ei fod yn ail, o'n i? Mae'r peth hon wedi'i ceisio ei ddysgu, nid yma i'r hyn rwy'n gallu ei weld. | [
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Fe wna i ddysgu sut y byddwn yn defnyddio'r rhaglenau. Mae'r hyn yn deimlo ei fod yn ail, o'n i? Mae'r peth hon wedi'i ceisio ei ddysgu, nid yma i'r hyn rwy'n gallu ei weld. Felly rwy'n credu fy mod i'n mynd i ddod â'r sgrin, a os gallwch chi ei gael i weithio, yna, yn fawr, a byddwn yn dod â'i gael yn ôl, ond, felly, byddwn yn dal i weithio ar y tro. Rwy'n ar y laptop, ond rwy'n mynd i gael'r sgrin allan. | [
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Felly rwy'n credu fy mod i'n mynd i ddod â'r sgrin, a os gallwch chi ei gael i weithio, yna, yn fawr, a byddwn yn dod â'i gael yn ôl, ond, felly, byddwn yn dal i weithio ar y tro. Rwy'n ar y laptop, ond rwy'n mynd i gael'r sgrin allan. Ie, os gwnaethoch chi'i wneud yn byw, yna byddwn yn mynd i hynny, ond felly, mae'n iawn | [
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Rwy'n ar y laptop, ond rwy'n mynd i gael'r sgrin allan. Ie, os gwnaethoch chi'i wneud yn byw, yna byddwn yn mynd i hynny, ond felly, mae'n iawn. Iawn, felly, felly, cofio'r algorithm rydyn ni'n ei ddod â'r hyn o'r decyn o'r cyflawniad cyflawniadol yma, yn y codi, y codi pseudogol rydyn ni'n ei wneud, iawn? Fe dweudwn, wel, yn gyntaf, byddwn yn cyflawni, yna byddwn yn mynd i ddod trwy, oh, mae'n ddiddorol nad wyf yn dda gyda'r technoleg. | [
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Ie, os gwnaethoch chi'i wneud yn byw, yna byddwn yn mynd i hynny, ond felly, mae'n iawn. Iawn, felly, felly, cofio'r algorithm rydyn ni'n ei ddod â'r hyn o'r decyn o'r cyflawniad cyflawniadol yma, yn y codi, y codi pseudogol rydyn ni'n ei wneud, iawn? Fe dweudwn, wel, yn gyntaf, byddwn yn cyflawni, yna byddwn yn mynd i ddod trwy, oh, mae'n ddiddorol nad wyf yn dda gyda'r technoleg. Beth wnaethoch chi'i wneud? Iawn, dwi'n gwybod. | [
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Iawn, felly, felly, cofio'r algorithm rydyn ni'n ei ddod â'r hyn o'r decyn o'r cyflawniad cyflawniadol yma, yn y codi, y codi pseudogol rydyn ni'n ei wneud, iawn? Fe dweudwn, wel, yn gyntaf, byddwn yn cyflawni, yna byddwn yn mynd i ddod trwy, oh, mae'n ddiddorol nad wyf yn dda gyda'r technoleg. Beth wnaethoch chi'i wneud? Iawn, dwi'n gwybod. Ie, ie, yna un. Iawn, rydym yn dda yna. Iawn, iawn, iawn, iawn. | [
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Iawn, rydym yn dda yna. Iawn, iawn, iawn, iawn. Iawn, iawn, iawn. Diolch, Sir. Yw hwn yn byw? Gallwch chi fy nghyfres? Neu a allaf, efallai os fyddaf yn gysylltu â hyn, byddai'n well. Iawn, dwi'n gwybod, dwi'n mynd i'r ôl, dwi'n gwybod am y burp mentrol, ond rwy'n eisiau gofio hyn yn ddiweddar. Felly byddwn yn mynd i'r cyfnod arall, i fynd i'r ffwrdd drwy'r adnoddau. Felly, yn ogystal â'r holl rhan tri, eto y rhan o'r ddeg o'r termau, dyma'r bwlltau. | [
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Felly, yn ogystal â'r holl rhan tri, eto y rhan o'r ddeg o'r termau, dyma'r bwlltau. Rwy'n eu rhoi ar y wefan hefyd, ond ar ysgrifennu a deall rhaglenau yn binari LC3, ac yna hefyd gallu ysgrifennu sefydliad gwreiddiol, felly ffynoneimau Van Neumann a phethau fel hynny, iawn, a'r strydau gwreiddiol o ddysgwyr. Yn y bôn, fel y dweud, pan ysgrifennwydwn yn y clas, yn y bôn, yn ddysgwyr a'r adnoddau, ond yn cael sylw ar beth yw'r pethau hynny. | [
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Rwy'n eu rhoi ar y wefan hefyd, ond ar ysgrifennu a deall rhaglenau yn binari LC3, ac yna hefyd gallu ysgrifennu sefydliad gwreiddiol, felly ffynoneimau Van Neumann a phethau fel hynny, iawn, a'r strydau gwreiddiol o ddysgwyr. Yn y bôn, fel y dweud, pan ysgrifennwydwn yn y clas, yn y bôn, yn ddysgwyr a'r adnoddau, ond yn cael sylw ar beth yw'r pethau hynny. Yr un hon, rwyf yn gobeithio bod y rhan hwn yn rhedeg. | [
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Yn y bôn, fel y dweud, pan ysgrifennwydwn yn y clas, yn y bôn, yn ddysgwyr a'r adnoddau, ond yn cael sylw ar beth yw'r pethau hynny. Yr un hon, rwyf yn gobeithio bod y rhan hwn yn rhedeg. Iawn, yn siŵr | [
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Yr un hon, rwyf yn gobeithio bod y rhan hwn yn rhedeg. Iawn, yn siŵr. Yn y bôn, y rhan hwn yn y cyfnod tri, y rhan hwn yn y cyfnod tri yw'r ffsm. Felly, iawn, yn y bôn, dyna'r rhan hwn yn y ddeg. Roedd y bwlltau eraill nad oedd yn y rhan tri, oherwydd mae gennym ddydd sy'n mynd o'r rhan tri o'r clas i'r rhan tri. Felly, mae'r topïau ar gyfer y cyfnod tri yn y rhan hwn, sy'n cyd-dod â'r rhan, yn unigol, yn cyd-dod â'r rhan ar y wic. | [
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Roedd y bwlltau eraill nad oedd yn y rhan tri, oherwydd mae gennym ddydd sy'n mynd o'r rhan tri o'r clas i'r rhan tri. Felly, mae'r topïau ar gyfer y cyfnod tri yn y rhan hwn, sy'n cyd-dod â'r rhan, yn unigol, yn cyd-dod â'r rhan ar y wic. Felly, roeddwn i eisiau ei roi i chi mewn clas, yn unwaith. Iawn, felly, roedd hwn yn y cyfnod tri. Roedd hynny'n algorffem trwy'r cyfrifiadau. Iawn. | [
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Roedd hynny'n algorffem trwy'r cyfrifiadau. Iawn. Iawn, felly, dyna'n ein stryd cyntaf rydyn ni wedi siarad amdano. Felly gallwn hefyd ddysgu'r cyfrifiadau. Dyna hefyd yn y codi pseudogol, iawn. Felly, pan ddysguon ni'r codi pseudogol, roedden ni'n dweud, wel, byddwn yn mynd i ddod o'r holl ffigurau yn y rhan. Felly gallwn ddod o'r holl ffigurau yn y rhan. Pan ydyn ni'n parhau? Wel, ar ddiwedd y rhan, dywedon ni ei fod yn ymdrech ar gyfer ffigur nol, Asky Null, sy'n unig yn 0. | [
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Felly gallwn ddod o'r holl ffigurau yn y rhan. Pan ydyn ni'n parhau? Wel, ar ddiwedd y rhan, dywedon ni ei fod yn ymdrech ar gyfer ffigur nol, Asky Null, sy'n unig yn 0. Felly, pan ddodon ni'n ddod o'r 0, mae'n golygu ein bod ni'n gwneud gyda'r rhan, ac yna rydyn ni wedi cyfnod yr holl ffigurau y gallwn gweithio. Yn ail, mae angen i ni gyfnod un ffigur o'r rhan, ac yna dal i fynd. Iawn, felly, sut ydyn ni, sut ydyn ni'n cyfnod un ffigur? Wel, mae angen i ni wneud dwy ffyrdd wahanol, iawn. | [
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Yn ail, mae angen i ni gyfnod un ffigur o'r rhan, ac yna dal i fynd. Iawn, felly, sut ydyn ni, sut ydyn ni'n cyfnod un ffigur? Wel, mae angen i ni wneud dwy ffyrdd wahanol, iawn. Felly, byddwn ni'n mynd i ddefnyddio un arall o ddysgwyr | [
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Iawn, felly, sut ydyn ni, sut ydyn ni'n cyfnod un ffigur? Wel, mae angen i ni wneud dwy ffyrdd wahanol, iawn. Felly, byddwn ni'n mynd i ddefnyddio un arall o ddysgwyr. Un o'r pethau yw ddod o'r holl ffigur a'i gyfnod, felly, cyfnod un ffigur yn y histograff, ond yna mae angen i ni hefyd cymryd ein pwyntwr i mewn, i gyd. Mae angen i ni gael ein gysylltiad â'r nesaf o'r ffigur yn y histograff pan ydyn ni'n cyfnod y ffigur hon, felly byddwn ni'n mynd i gyfnod y pwyntwr hefyd. | [
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Un o'r pethau yw ddod o'r holl ffigur a'i gyfnod, felly, cyfnod un ffigur yn y histograff, ond yna mae angen i ni hefyd cymryd ein pwyntwr i mewn, i gyd. Mae angen i ni gael ein gysylltiad â'r nesaf o'r ffigur yn y histograff pan ydyn ni'n cyfnod y ffigur hon, felly byddwn ni'n mynd i gyfnod y pwyntwr hefyd. Felly, bydd hyn yn edrych fel hyn, dim ond un arall o ddysgwyr cyfnodol. Iawn, byddwn ni'n cael y ddwy ffyrdd hynny, ac yna gallwn ddechrau'n rhannu'r un hwn, iawn. | [
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Felly, bydd hyn yn edrych fel hyn, dim ond un arall o ddysgwyr cyfnodol. Iawn, byddwn ni'n cael y ddwy ffyrdd hynny, ac yna gallwn ddechrau'n rhannu'r un hwn, iawn. Dyma'r un cyfartal. Sut ydw i'n gwybod os yw rhywbeth yn llyfr neu ddim yn llyfr? Sut ydw i'n gwybod pa ffyrdd i'w rhannu? Wel, rhaid i mi edrych ar y data. Felly sut y gallwn ni ei wneud? Felly, byddwn ni'n rhaid i ni ddefnyddio cyfnodau cyfnodol. | [
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Sut ydw i'n gwybod os yw rhywbeth yn llyfr neu ddim yn llyfr? Sut ydw i'n gwybod pa ffyrdd i'w rhannu? Wel, rhaid i mi edrych ar y data. Felly sut y gallwn ni ei wneud? Felly, byddwn ni'n rhaid i ni ddefnyddio cyfnodau cyfnodol. Yn aml, ni ddim yn eisiau 128 o ffyrdd gwahanol, iawn. Dydyn ni ddim eisiau dweud, well, os yw'n y rhan gyntaf, byddwn ni'n ei wneud hyn, yn amlwg, byddai hynny'n deimlo. | [
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Yn aml, ni ddim yn eisiau 128 o ffyrdd gwahanol, iawn. Dydyn ni ddim eisiau dweud, well, os yw'n y rhan gyntaf, byddwn ni'n ei wneud hyn, yn amlwg, byddai hynny'n deimlo. Rydym nhw'n rhannu feilydd, digwydd chi bach o raglen, felly rydym ni'n hyfyr-ifer hyfyrgyll, fel rhaid i chi leoli! Wrth ystryd y rhhaven sy'n ymddangos fel gyda gw olaf, bydd yn rostridig ymladdiadau. Onc needles pwy sydd yn gorfod cael ein groesi yn ddiweddar hyd i greum garaer bobol. | [
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