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  • Hi, this is John and I'm going to show you an easy approach to Binary Conversion. Now

  • before we roll into the conversion process I'm going to teach you some of the basics.

  • What is Binary? Well, binary is a number system represented by two numbers, 0s and 1s and

  • used by all computers. You'll see it in the forms of binary strings, such as this one

  • right here. Now to do the conversion process, you have to understand the math behind it.

  • If you have a good understanding of the powers of 2, you can pretty much do any binary conversion.

  • 2 to the 0 equals 1, 2 to the 2 equals 4, and so on. And if you can memorize at least

  • these, and make them second nature to you, you will be able to any conversion very quickly.

  • Okay, let's look at the decimal to binary conversion. This conversion, I think, is one

  • of more easier ones. The first you're going to want to do is draw out a conversion table.

  • You start from the right and work left. 1, 2, 4, 16, 32, 64, 128 and notice how there are

  • 8 numbers here. That's 8 bits. When you're speaking in computer terms, such as in subnetting.

  • In an IP address we have 4 8-bit or 4 octets. In our first example we will look at how to

  • convert 132. Now, follow along with me. 128 goes into 132, yes, so we will put a 1. 128,

  • what other number here when combined with 128 equals 132? Well, that number is 4. And

  • you fill the rest in with zeroes. And that is a decimal to binary conversion. Let's look

  • at one more example, 14. Very easy one. Does 128, 64, 32, 16, none of these numbers go

  • in it. Does 8? Yes. 8 plus 4 = 12, 8+4+2=14. Does 1? No. That would be 15. So far so good

  • right? Now let's look at some Binary to Decimal Conversions. Same table, and if need to go

  • further, go further, 256, 512 and so on. This is our first example. You just write it in

  • there. Draw out your table and write it in. 0, 1, 0, 1, 1, 0, 1. This is so easy, you

  • just add them up. 64 plus 16 = 80, plus 8, 88, plus 2, 90. That binary number equals

  • 90 in decimal. Next number. Just write it in. 1, 1, 0, 1, 1. You add them up and what

  • do you get? 27. It's as simple as that. Well, thanks for watching and don't forget if this

  • was even a little bit helpful to you to rate my video, subscribe to my channel or leave

  • me a comment, or come visit me at johndavidgrow.com. Again, thank you so much.

Hi, this is John and I'm going to show you an easy approach to Binary Conversion. Now

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