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Hello, my name is Typhoon, and in this lecture you will get detailed information about converting

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the decimal to binary and vice versa, as well as converting the hexadecimal to decimal and vice versa.

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In the world of computers, data is represented using binary digits, commonly referred as zeros and

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ones.

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Right?

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So a binary is the fundamental language that computers use to perform calculations and store information.

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However, as humans, we are more accustomed to working with decimal numbers, in this case decimal

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here.

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Decimal means base ten.

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Actually, let's make, uh.

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Let's use a different color for this here.

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So.

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Base.

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And hexadecimal means.

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Hexadecimal.

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Means we call the decimal base.

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Gazette.

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Gazette Yes.

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Page 16.

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So here, therefore, understanding the conversion between these different numbers, for example, turning

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the decimal to turning the base ten to base 16 or vice versa, turning the converting the base 16 to

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base ten is important in computing.

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And here in this lecture we will explore in detail how to convert decimal to binary and vice versa.

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And you will also learn how to convert the hexadecimal to decimal like this here.

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So and vice versa.

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So here we will.

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Firstly, we will firstly.

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And we also have the binary here.

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A binary.

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And this here we tell this binary only.

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Once and.

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Zeros or zeros and ones so false or.

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Oh, and here, actually, let's.

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At this brush here.

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The light.

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This.

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As we will write things on the screen.

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Okay.

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And also we can also.

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Okay, so now we will first start with converting the decimal to binary.

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Now let's delve deeper into the process of converting decimal numbers to binary.

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And the key concept here is understanding the significance of each digits position in the binary representation.

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So.

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And the as I said, the binary system binary number system follows the base two.

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So remember base ten, base 16 and base.

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You're right.

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Now, we will delete this because I think we understood that already.

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Delete that.

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Or converting the decimal to binary.

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And in this case, so as I said so and this base two system where each position here represents a power

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of two.

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So starting from the high mass position, also known as the least significant bit.

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So the positions are here.

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Q power of 0 to 1, two of three and so on.

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So with the exponent increasing as we move to the left.

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So it works like this, right?

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The first here.

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So it works a reverse in, in reverse order here.

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So let's actually draw it again.

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So.

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And now what we're going to do is we will begin with the decimal number you want to convert to binary.

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In this case, let's actually write our the title here.

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Uh, decimal.

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To.

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Binary.

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In this case.

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Here we will.

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Let's select the number we want to convert is the 30.

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Six right here.

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So the first step here, the first step, let's actually we will also write the step steps here.

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So the first step.

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The first step is we'll begin with the decimal number you want to convert to binary.

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Here in this case, it's 36 here.

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So in this case it's 36.

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And the step two is we will divide the number by two and note down the remainder.

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So we will 36 divided by two and we don't have any remainder.

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So in this case, it is the zero.

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And the step three is continuing, dividing the quotient by two until the point becomes zero.

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Right.

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So in this case.

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We will.

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Also 36 divided by two.

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And in this case, we will not have the 36 anymore because we already divided it.

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So we will need.

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Actually.

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Let me get the pen here.

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Uh, the.

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Purser.

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So in this case, we will have the 36 divided by two.

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So we have the number reminder is zero, but we also have the.

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You need the color?

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Yes.

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Perfect.

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Now we will.

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We have the remainder of zero and we have the 36 divided by two is.

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18.

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So we will note that down 18 and the remainder zero.

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And here now, we will divide our 18.

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It you again.

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And here we also have zero.

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So now we will in the we will we will continue dividing the quotient by two until the quotient becomes

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zero as well.

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Uh, so.

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Here.

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We will now 18 and we what we have left here is nine.

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So step four again.

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And nine two again.

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And as you can see here, we have one reminder here.

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And our.

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Here is for.

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And now we will again.

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Step five is.

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Or divide by two.

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Zero and two.

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And.

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Thanks again for divide by two again.

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Oops.

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Two divided by two by two.

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We don't have any reminders.

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And we have one here.

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And here this is the last step almost for calculating our binaries.

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So now we need to divide one by two.

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Right.

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So step seven, divide one by two.

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In this case, we will have zero.

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But we left with one reminder.

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Right?

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So and this is our step.

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So let's actually so we actually in this case, in the as a result, we don't need this numbers anymore.

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So this is our result which now oops actually.

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So our result is starting from top 001001.

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And here this the the last step here we will need to write down all the reminders in reverse order and

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that will be the binary representation of our decimal number in this case is we will need to.

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Right down from the from the.

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From the bottom.

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So here what we're going to do is so our result is actually let's get the span here again.

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Let's color actually let's change the color here.

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Okay, so here, this is our result.

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So when we turn 36 to binary, we will get this here.

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One.

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Zero.

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Zero.

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And here 100 from the bottom.

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So reverse order and again, 100.

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So 100.

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So this is the decimal representation.

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So this is the binary representation of our 36 decimal number awaiting you in the next lecture.