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Hey everybody was going on this is Caleb with slopestyle.

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And in this video we're going to work on understanding hexadecimal.

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Hexadecimal is a number system that is used in the computer world and it's really important to know

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about.

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So we're going to learn how it works.

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We're going to compare it to things like binary and our decimal number system.

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And let's do it.

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Let's dive right in.

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So we're going to begin by looking at the two number systems that we're familiar with at this point.

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The decimal number system and the binary number system.

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Now of course the decimal number system is base 10.

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We use this every day 0 through 9 10 values k we use this for pretty much everything.

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Then there's the binary number system which is a base 2 system.

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This means there are only two values 0 and 1 on or off.

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And we've already talked about this but there's another number system called base 16 and that is where

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hexadecimal comes into play.

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It uses the same numbers from the from the decimal number system 0 through 9 but from 9 we're going

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to go up a b c d e f.

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And the interesting thing is the value for ABC D E and F are the same as if we were continuing on in

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the decimal system so is equal to 10 B 11 C 12 13 14 15 16 values hexadecimal.

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So let's take a look at how the base 10 number system works.

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We obviously know this we learned this in like elementary school but if we were going to represent the

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number 231 in the base 10 system we would put a 2 in the hundreds place or three in the tens place and

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a 1 in the ones place.

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Now that that represents two hundreds three tens and one one.

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But what if we wanted to represent the same number in binary.

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OK we know how to do this.

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We have 8 channels K ranging from 1 all the way up to 128.

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And if we were to put in the value 1 1 1 0 0 1 1 1 that would mean to add 128 plus 64 plus 32 plus four

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plus two plus one.

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And that gets us a grand total of two hundred thirty one k that's the same representation with a very

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different number system.

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Now let's move on.

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Texas decimal this is really really important stuff.

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So like I showed you before hexadecimal has six values above nine.

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ABC D E and F.

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And like I said A is equal to 10 B 11 12 13 14 and F 15 K and this gets us 16 places K in our base 16

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system.

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And the way the numbers are going to work are obviously different and you'll see why this is kind of

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actually a cool number system and you'll probably also understand why it's not used to write code just

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like binary is not directly used to write code anymore.

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But take a look.

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If we were to use a chart just like I showed you with the base 10 system we still have one place and

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if we want to represent a particular number in that channel then the next channel to the left is the

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six teens place.

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So we go from ones all the way to six teens.

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OK.

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And what that's going to mean is that if I put an E in the teens place that means that I have 14 16s.

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So 14 times 16 if I put a 6 there it would be 6 16s.

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Otherwise we're basically putting the value in that place.

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Times 16 K that's very cool.

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So in this example we have e 7 14 16s and 7 1.

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So if we do 14 times 16 we end up with 224.

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Add that to 7 and we get 231.

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So e 7 is the same thing as 1 1 1 0 0 1 1 0 1 in binary.

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The cool thing about hexadecimal is that you can store much bigger values in much smaller space just

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by changing to a base 16 system.

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Now if we were to take it a step further on every channel you go to the left we go from 1 to 6 teens

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and then we end up with 16 to the second power or 256.

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Then it would be 16 to the third power to the fourth power to the fifth power.

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And the numbers get exponentially larger for every channel just like in binary.

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Now if we were to use this example 8 7 we would take eight and multiply it by 16 to the power of two

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or 256.

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So eight times 256 gets us 2048 then we would add that to what we already have in E which is 224.

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Then add that to 7 for a grand total of two thousand two hundred seventy nine.

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With only three characters.

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Pretty amazing stuff.

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So this is hexadecimal it's not very hard to understand.

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It's a very easy number system but you know just like binary it's not really human readable you can't

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look at a hexadecimal value and say Ah I know what that does in code and that's why.

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Thankfully programming languages were written and compilers were built in order to be the go between

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for us.

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So to recap hexadecimal is a base 16 number system that has values going from zero all the way up to

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9.

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Then following that we had a B C D E F and those are worth 10 11 12 13 14 and 15.

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And when we begin we basically have 16 to the power of zero.

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So anything we put in there is just equal to itself.

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We have 16 to the power of one which is the 16 channel and anything beyond that is going to be 16 to

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the power of two 16 to the power of three four five six and so on we can get exponentially larger numbers

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with much less data.

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That's why hexadecimal is so great.

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Thanks so much for watching this video and yeah this is Caleb with Debb slopes.

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Dot.com.