Binary videos

Binary videos

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Binary Video – Corbettmaths

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Math Algebra all content Introduction binary videos algebra Binary and hexadecimal number systems. Introduction to number systems and binary. Hexadecimal number system. Converting from decimal to binary. Converting larger number from decimal to binary.

Converting from decimal to hexadecimal representation. Converting directly from binary to hexadecimal. How to count to on binary videos hands. Current timeTotal duration Google Classroom Facebook Twitter. Video transcript Let's see if we can get some experience converting from a decimal representation to a binary representation. Let's start with the fairly straightforward example with a fairly binary videos number.

Let's see if we can convert the number 13 in decimal to binary. And I encourage you to pause the video, and try to work through it out on your own, binary videos. So I'm assuming you had a go at it. So the key here is to see if you can deconstruct the number 13 as the sum of powers of two. And then it becomes very straightforward to represent it in binary.

Because in binary, you're essentially saying, well what powers of two do you need to make binary videos this number. So let's just write the powers of two here, just to binary videos ourselves. And I'll go until we go right above So two to the zero is equal to one, Two to the first is equal to 2. Two squared is equal to four.

Two to the third is equal to eight. Two to the fourth is equal to So now, I'm above 13, binary videos, so I have all the powers of two that I need to construct So what's the largest power of two, that is less than or equal to 13? Well, 16's too large, well it would be eight. So I could rewrite 13 as eight plus five. Now five is not a power of two, so I have to keep deconstructing that. What's the largest power of two, that is less than or equal to five?

We see it right over here, it's four. So let me rewrite that, it's eight plus, instead of writing binary videos, I'll write four plus one, and then the good thing is at one as a power of two we already see is the largest power of two that is less than or equal to it is one.

This already is a power of two. So I now have rewritten this as the sum of powers of two. Notice this is two to the third power. This is two squared, and this is two to the zero power. Or I could write it like this. I have 1 eight, clearly. I have 1 four, and I have 1 one, binary videos. So I can add these two, binary videos, I can add these three together. Why is that helpful? Well now, let's go in to binary mode. And think about what each of the place values represent. So, binary videos, this is the ones place, that's the ones place.

And then we can go to the twos place. Every time we go to the left, each place we multiply by two. It's the next power of two.

Then we go to the fours place, fours place. And then binary videos go the eights place, eights. In binary I only have two digits, binary videos, zero and one. So I either have zero of a place or I binary videos one of it. So let's go through it. How many ones do I have?

Well I have 1 one, so I write that there. How many twos do I have? Well in this representation I don't have any twos, binary videos. I have an eight, I have a four and a one.

So I'm gonna put I have 0 twos. How many fours do I have? Well I have 1 four. And how many eights do I have? Well I have 1 eight. So 13, or 13 which is a decimal number. If I were to write it in binary, is one one zero one, binary videos.

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