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Binary

- Converting to and from decimal

Decimal

- We normally use the decimal (denary) system, also

called base 10 - There are 10 different symbols (digits)
- 0, 1, 2, 3, 4, 5, 6, 7, 8, 9
- To count higher than nine we re-use the symbols

by putting them in columns - The value of a symbol depends on its position

Decimal positions

Eight thousand two hundred and fifty three

Binary

- Computers use the binary system, also called base

2 - There are two different symbols (digits)
- 0, 1
- To count higher than one we re-use the symbols by

putting them in columns - The value of a symbol depends on its position

Binary positions

One eight, one four, no twos and one unit That

makes thirteen

Counting in binary and decimal

Why do computers use binary?

- Computer components that store or handle data are

often two-state devices - This is like a switch that can be on or off
- A memory unit could exist in two voltage states,

high or low - A voltage on a cable could be high or low
- A light could be on or off
- Two states can be coded by binary 0 and 1

Why am I learning about binary?

- In your Cisco course, you will learn about IP

addresses and how to split up a network into

subnets - You need to work out subnet addresses and

workstation addresses - For this you need to use binary

Bytes or octets

- We often handle binary digits (bits) in groups of

eight - Sometimes these groups are called bytes
- Sometimes they are called octets
- We shall often be calling them octets
- Examples of octets
- 00101101
- 10110010

Convert binary to decimal

Convert 11001010 binary to decimal Write in the

binary digits under their values

Convert binary to decimal

Convert 11001010 binary to decimal Write in the

binary digits under their values Next write in

the value for each binary 1 digit

Convert binary to decimal

Convert 11001010 binary to decimal Write in the

binary digits under their values Next write in

the value for each binary 1 digit Add up the

values 128 64 8 2 202

One for you to try

- Convert 10010101 from binary (base 2) to decimal

(base 10)

Answer

- Convert 10010101 from binary (base 2) to decimal

(base 10)

128 16 4 1 149

Convert 185 decimal to binary

Convert 185 decimal to binary Can you take 128

from 185? Yes. Put 1 under 128 What is left?

185-128 57

Convert 185 decimal to binary

We have 57 left Can you take 64 from 57? No. Put

0 under 64 What is left? Still 57

Convert 185 decimal to binary

We have 57 left Can you take 32 from 57? Yes. Put

1 under 32 What is left? 57 32 25

Convert 185 decimal to binary

We have 25 left Can you take 16 from 25? Yes. Put

1 under 16 What is left? 25 16 9

Convert 185 decimal to binary

We have 9 left Can you take 8 from 9? Yes. Put 1

under 8 What is left? 9 8 1

Convert 185 decimal to binary

Wwe have 1 left Can you take 4 from 1? No. Put 0

under 4 What is left? Still 1

Convert 185 decimal to binary

We have 1 left Can you take 2 from 1? No. Put 0

under 2 What is left? Still 1

Convert 185 decimal to binary

We have 1 left Can you take 1 from 1? Yes. Put 1

under 1 What is left? Nothing. Finished.

Convert 185 decimal to binary

185 decimal is 10111001 binary

Convert decimal to binary

Check write in the values of the 1 digits and

add them up 128 32 16 8 1 185 Thats

the number we started with. Its correct.

One for you to try

- Convert 248 from decimal to binary
- Check your answer

Answer

- Convert 248 from decimal to binary
- Check your answer

128 64 32 16 8 248 So 11111000 is

correct.

- End

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presentations for free. Or use it to find and download high-quality how-to PowerPoint ppt presentations with illustrated or animated slides that will teach you how to do something new, also for free. Or use it to upload your own PowerPoint slides so you can share them with your teachers, class, students, bosses, employees, customers, potential investors or the world. Or use it to create really cool photo slideshows - with 2D and 3D transitions, animation, and your choice of music - that you can share with your Facebook friends or Google+ circles. That's all free as well!

For a small fee you can get the industry's best online privacy or publicly promote your presentations and slide shows with top rankings. But aside from that it's free. We'll even convert your presentations and slide shows into the universal Flash format with all their original multimedia glory, including animation, 2D and 3D transition effects, embedded music or other audio, or even video embedded in slides. All for free. Most of the presentations and slideshows on PowerShow.com are free to view, many are even free to download. (You can choose whether to allow people to download your original PowerPoint presentations and photo slideshows for a fee or free or not at all.) Check out PowerShow.com today - for FREE. There is truly something for everyone!

For a small fee you can get the industry's best online privacy or publicly promote your presentations and slide shows with top rankings. But aside from that it's free. We'll even convert your presentations and slide shows into the universal Flash format with all their original multimedia glory, including animation, 2D and 3D transition effects, embedded music or other audio, or even video embedded in slides. All for free. Most of the presentations and slideshows on PowerShow.com are free to view, many are even free to download. (You can choose whether to allow people to download your original PowerPoint presentations and photo slideshows for a fee or free or not at all.) Check out PowerShow.com today - for FREE. There is truly something for everyone!

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