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Constructing Network Addresses © 2004 Cisco Systems, Inc. All rights reserved. Understanding Binary Basics INTRO v2.0—5-1.

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Presentation on theme: "Constructing Network Addresses © 2004 Cisco Systems, Inc. All rights reserved. Understanding Binary Basics INTRO v2.0—5-1."— Presentation transcript:

1 Constructing Network Addresses © 2004 Cisco Systems, Inc. All rights reserved. Understanding Binary Basics INTRO v2.0—5-1

2 © 2004 Cisco Systems, Inc. All rights reserved. INTRO v2.0—5-2 Outline Overview Decimal and Binary Systems Powers of 2 Basics Decimal to Binary Conversion Binary to Decimal Conversion Summary

3 © 2004 Cisco Systems, Inc. All rights reserved. INTRO v2.0—5-3

4 © 2004 Cisco Systems, Inc. All rights reserved. INTRO v2.0—5-4 Decimal vs. Binary Numbers

5 © 2004 Cisco Systems, Inc. All rights reserved. INTRO v2.0—5-5

6 © 2004 Cisco Systems, Inc. All rights reserved. INTRO v2.0—5-6

7 © 2004 Cisco Systems, Inc. All rights reserved. INTRO v2.0—5-7

8 © 2004 Cisco Systems, Inc. All rights reserved. INTRO v2.0—5-8

9 © 2004 Cisco Systems, Inc. All rights reserved. INTRO v2.0—5-9

10 © 2004 Cisco Systems, Inc. All rights reserved. INTRO v2.0—5-10

11 © 2004 Cisco Systems, Inc. All rights reserved. INTRO v2.0—5-11

12 © 2004 Cisco Systems, Inc. All rights reserved. INTRO v2.0—5-12

13 © 2004 Cisco Systems, Inc. All rights reserved. INTRO v2.0—5-13

14 © 2004 Cisco Systems, Inc. All rights reserved. INTRO v2.0—5-14

15 © 2004 Cisco Systems, Inc. All rights reserved. INTRO v2.0—5-15 Decimal and Binary Numbers Chart

16 © 2004 Cisco Systems, Inc. All rights reserved. INTRO v2.0—5-16 Powers of 2 2 to the 0 power (2 0 ) is 1 2 to the first power (2 1 ) is 2 multiplied together 1 time. 2 2 to the second power (2 2 ) is 2 multiplied together 2 times.2x2=4 2 to the third power (2 3 ) is 2 multiplied together 3 times. 2x2x2=8 2 to the fourth power (2 4 ) is 2 multiplied together 4 times. 2x2x2x2=16 2 to the fifth power (2 5 ) is 2 multiplied together 5 times. 2x2x2x2x2=32 2 to the sixth power (2 6 ) is 2 multiplied together 6 times. 2x2x2x2x2x2=64 2 to the seventh power (2 7 ) is 2 multiplied together 7 times.2x2x2x2x2x2x2=128 These computations are enough to cover an 8-bit binary number. These totals will appear repeatedly in tables used for conversion. Binary (Base-2) system is the foundation of computer operations.

17 © 2004 Cisco Systems, Inc. All rights reserved. INTRO v2.0—5-17 Binary-to-Decimal Conversion

18 © 2004 Cisco Systems, Inc. All rights reserved. INTRO v2.0—5-18 Decimal-to-Binary Conversion

19 © 2004 Cisco Systems, Inc. All rights reserved. INTRO v2.0—5-19 Binary-to-Decimal Conversion

20 © 2004 Cisco Systems, Inc. All rights reserved. INTRO v2.0—5-20 Summary All computers operate using a binary system. Binary systems (base 2) use only the numerals 0 and 1. Decimal systems (base 10) use the numerals 0 through 9. IP addresses are 32-bit binary numbers divided into 4 sets of 8 bits, called octets.( ) Using the powers of 2, a binary number can be converted into a decimal number.( Using the powers of 2, a decimal number can be converted into a binary number = IP version 4(IPv4) address consist of 32 binary bits

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