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**Understanding Binary Basics**

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

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**Outline Overview Decimal and Binary Systems Powers of 2 Basics**

Decimal to Binary Conversion Binary to Decimal Conversion Summary

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**Decimal vs. Binary Numbers**

Lesson Aim <Enter lesson aim here.>

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**Decimal and Binary Numbers Chart**

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**Powers of 2 2 to the 0 power (20) is 1**

2 to the first power (21) is 2 multiplied together 1 time 2 to the second power (22) is 2 multiplied together 2 times. 2x2=4 2 to the third power (23) is 2 multiplied together 3 times x2x2=8 2 to the fourth power (24) is 2 multiplied together 4 times x2x2x2=16 2 to the fifth power (25) is 2 multiplied together 5 times x2x2x2x2=32 2 to the sixth power (26) is 2 multiplied together 6 times x2x2x2x2x2=64 2 to the seventh power (27) 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. Lesson Aim <Enter lesson aim here.>

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**Binary-to-Decimal Conversion**

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**Decimal-to-Binary Conversion**

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**Binary-to-Decimal Conversion**

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**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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Objective 1.Understand Network 2.Understand IP Addressing (IPv4 and IPv6) 3.Understand Subnetting 4.Examples 5.IP addressing and Vlan’s in TIFR 6.TIFR.

Objective 1.Understand Network 2.Understand IP Addressing (IPv4 and IPv6) 3.Understand Subnetting 4.Examples 5.IP addressing and Vlan’s in TIFR 6.TIFR.

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