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

2. Outline Overview Decimal and Binary Systems Powers of 2 Basics
Decimal to Binary Conversion
Binary to Decimal Conversion
Summary

4. Decimal vs. Binary Numbers
Lesson Aim
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15. Decimal and Binary Numbers Chart

16. 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
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17. Binary-to-Decimal Conversion

18. Decimal-to-Binary Conversion

19. Binary-to-Decimal Conversion

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