# Binars 24 no.

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How to count to on two hands Video transcript Let's see if we binars 24 no get some experience converting from a decimal representation to a binary representation. Let's start with the fairly straightforward example with a fairly low 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.

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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 binars 24 no two. And then it becomes very straightforward to represent it in binary.

- Usage[ edit ] By Native Americans[ edit ] The Yuki language in California and the Pamean languages [1] in Mexico have octal systems because the speakers count using the spaces between their fingers rather than the fingers themselves.
- History[ edit ] The modern binary number system was studied in Europe in the 16th and 17th centuries by Thomas HarriotJuan Caramuel y Lobkowitzand Gottfried Leibniz.
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Because in binary, you're essentially saying, well what powers of two do you need to make up this number. So let's just write the powers of two here, just to remind 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.

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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, 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?

How to count to on two hands Video transcript Let's see what it's like to add multi-digit numbers in binary.

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.

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What's the largest power of two, that is less than or equal to five? We see it right over here, it's four.

### Binary and hexadecimal number systems

So let me rewrite that, it's eight plus, instead of writing five, 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.

## Binary number

This is two squared, and this is two to the zero power. Or I could write it like this.

How to count to on two hands Video transcript - [Voiceover] For as long as human beings have been around we've been counting things, and we've been looking for ways to keep track and represent those things that we counted.

I have 1 eight, clearly. I have 1 four, and I have 1 one.

So I can add these two, I can add these three together. Why is that helpful? Well now, let's go in to binary mode.

## Adding in binary

And think about what each of the place values represent. So, this is the ones place, that's the ones place. And then we can go to the twos place.

- Binary number - Wikipedia
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