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Now to prove us let's use a calculator he has the calculator on my Mac.
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If I type 255 notice in binary that's eight binary ones.
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That's not very clear so let me use a Windows calculator.
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So here's my Windows calculator.
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I'm going to specify binary one two three four five six seven eight.
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Notice the Windows calculator puts a gap between the four binary values makes it easier to read but
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in a IP address there is no gap like that but I often write it that way just to make it easier to read.
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Notice the value is 255 in decimal but in binary it's eight binary ones.
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Now we'll talk about hexadecimal later.
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That's f f in hexadecimal but 255 in decimal equates to 8 binary ones.
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Okay so here's a another example.
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What is the binary equivalent of one in decimal.
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So it's not this because that would be 128.
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It's not this because there would be 64.
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It's not this because there would be 32.
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Same there.
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Same here.
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And so forth.
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We wouldn't use any of those.
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The only bet that we would set on is that so that in binary equals that in decimal.
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So there you go.
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But we typically write it this way because an IP version 4 dress consists of 4 groupings or 4 octet
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as it's called.
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So for groupings of 8 bits or 4 octet.
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So again 1 in decimal we would write like this in binary.
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Okay so let's see if you can answer this question.
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Pause the video if you need more time I'm going to go through the question and then I'll answer it.
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What is the binary equivalent of 192 in decimal.
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So what is a hundred ninety two equal to which binary bits here.
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Would you set on to get 192.
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Now pause the video at this point if you need more time.
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Otherwise I'm going to explain the answer.
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Now the easiest way to work this out is look at 192 does 192 minus 128 equal a positive or negative
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value.
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In this case it's going to equal 64 so we know that we need to set this value on because that plus and
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it's quite easy here 64 equals 192.
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So those two bits need to be on the rest or set off because 192 minus 128 minus 64 equals zero or that
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plus that equals this.
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So in other words 1 1 followed by 6 binary zeros equals 192 in decimal.
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Hopefully that makes sense but he has another example in case it doesn't.
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I'm going to teach you a trick in this example as well.
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We've got two hundred fifty three here.
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What is the binary equivalent of 253.
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Hint Think about working backwards.
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If you need more time pause the video now.
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Otherwise I'm going to tell you the answer okay So Turner around 53.
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We could do the method where we minus 128 to make sure that it's not less than zero.
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Or we could work backwards and say turn fifty five minus 10 fifty three equals two.
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So we want to remove two out of the equation and leave all the other values on.
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So in other words we could just state immediately turn this off and leave everything else on.
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So in other words 128 plus 64 plus 32 plus 16 plus eight plus four plus one equals Turner 53 so you
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could either try and work it out by saying ten or fifty five minus 128 gives me a value and then subtract
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64 from that and then subtract 32 from that subtract 16 from that and so forth until you get to zero.
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Or you could just say turn 55 minus 253 equals two.
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I know that two should be removed.
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Everything else should be on.
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So that equals turn 53 or to write it in binary.
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It looks like that.
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Now before we go any further I've created some quizzes on my Web site which gives you unlimited examples
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of converting binary to decimal and decimal to binary.
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So if you go to David Bumble dot com forward slash free quiz you can get access to these quizzes or
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simply look under free free quiz to get access to all of these free quizzes.
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So as an example here we've got a quiz asking you to convert decimal to binary so I know that that is
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the answer.
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So I'm going to collect check answer and I'm told that that is correct.
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Here's another example.
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What is the binary equivalent.
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Let's put a incorrect number in so something like that.
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Check on answer.
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I'm told that that is wrong.
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Try again.
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You can keep on trying.
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Or you can click give up if you want to get the answer.
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So the software keeps track telling you how many you got correct and how many you gave up on.
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So you can do that quizzes an example or you can go to the opposite which is binary to decimal.
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So I'll just put in one two three.
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Check the answer and you can see it's wrong.
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Try again or click give up and it'll tell you what the correct answer is.
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So those are free quizzes on David Bumble dot com that you can use if you want to practice.
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