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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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