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Before You Begin
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To complete this chapter, make sure you are familiar with the concepts described in 1, Introduction to Active Directory and Network Infrastructure.
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Lesson 1
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Creating an IP Addressing Scheme
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Lesson 1: Creating an IP Addressing Scheme
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When you create an IP address scheme for your organization, your first consideration should be whether you will use a private IP address scheme or a public one. This les son examines both private and public IP addresses and gives a good overview of how IP addressing is used to segment your network for improved performance as well as for security. This lesson discusses the various classes of IP addresses available for companies and how to create IP subnets to improve performance.
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After this lesson, you will be able to
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Describe the various classes of IP addresses. Design a TCP/IP addressing scheme using subnets.
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Estimated lesson time: 60 minutes
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Overview of Binary Numbers
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There are three numbering systems you need to be familiar with as a network professional: base 2 (binary), base 10 (decimal), and base 16 (hexadecimal). The base 10 numbering system is what everyone is familiar with because this numbering system relies on decimal numbers. Numbers such as 9876 can be expressed as 9 * 103 + 8 * 102 + 7 * 101 + 6 * 100. As you can see, each column represents the base number 10 with an exponent of 0, 1, 2, 3 and so forth. In base 10, the base number can be any number from 0 9, which is a total of 10 numbers. Hence the name, base 10.
Base 2
Because computers use logic chips that are on or off, true or false, or yes or no, base 2 is the numbering system used. In base 2, the base number is 2 and the exponents, once again, begin with 0 and increase from right to left, as illustrated below. Base 2 allows only two numbers, 0 and 1. The following is a base 2 number: 1000 0001. The column in which the 0 or 1 is located determines the value of the number, just as with base 10 numbers. In this example, the decimal equivalent of the binary number is 129. Binary numbers are usually repre sented as eight characters because there are 8 bits in a byte. 128 27 1 64 26 0 32 25 0 16 24 0 8 23 0 4 22 0 2 21 0 1 20 1 128 + 1 = 129
8
Designing a Network and Routing Infrastructure
If all the bits are on, or set to 1, the largest number a byte could hold is the decimal number 255. 128 27 1 64 26 1 32 25 1 16 24 1 8 23 1 4 22 1 2 21 1 1 20 1
128 + 64 + 32 + 16 + 8 + 4 + 2 + 1 = 255
Base 16 (Hexadecimal)
Computers handily work with all of those ones and zeros, but we humans find them to be quite cumbersome. So, base 16 was another numbering system developed to make it easier for us to work with these numbers. Once again, in base 16, our base is 16, and the numbering system can include any number from 0 15. Letters are used to represent numbers because one digit cannot express a number greater than 9. In hexadecimal, A = 10; B = 11; C = 12, and so on. So, a base 16 number could look like the following: 4096 163 1 256 162 3 16 161 A 1 160 B
To convert the hexadecimal number 13AB to decimal, you would do exactly the same thing you did to convert a decimal number. 1 * 163 + 3 * 162 + 10 * 161 + 11 * 160 = Don t worry. You will probably never have to do such a thing for the rest of your life. However, advanced routing concepts do require knowledge of hexadecimal numbers when creating multicast addresses, which this text does not cover. If you want to see a hexadecimal number in action, just type the command ipconfig /all at the com mand prompt. The Physical Address field, also called the Media Access Control (MAC) address, of your network adapter card is in hexadecimal format, for example, 00-0B-DB-28-F3-9A. Hexadecimal numbers are usually grouped in two-digit formats, each representing the high- and low-order nibbles of a byte. A nibble, which can also be spelled nybble, is four bits. A byte, of course, is 8 bits. The hexadecimal number 9A, converted to binary, is 1001 1010. A space was placed between the two nibbles for readability. The hexadecimal number F3, converted to binary, would be 1111 0011. As you see, it s a lot easier to read the numbers F3-9A in a MAC address than to have to look at the binary equivalent of 11110011-10011010. Hex numbers are prefixed with a 0x as in 0x11.
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