Binary Slides
Transcript of Binary Slides
![Page 1: Binary Slides](https://reader035.fdocuments.us/reader035/viewer/2022062303/555647a3d8b42aa41e8b4845/html5/thumbnails/1.jpg)
JOHNNA NOLESECOMP7100
Binary Number System
![Page 2: Binary Slides](https://reader035.fdocuments.us/reader035/viewer/2022062303/555647a3d8b42aa41e8b4845/html5/thumbnails/2.jpg)
What do computers do?
PC
Software
applications
images
textvideo
music
storage
![Page 3: Binary Slides](https://reader035.fdocuments.us/reader035/viewer/2022062303/555647a3d8b42aa41e8b4845/html5/thumbnails/3.jpg)
Having a good unders tanding o f how b inary works i s fundamenta l to knowing many
o ther aspects o f how a l l d ig i ta l technology works , inc luding computers , networks ,
PDAs , ce l l te lephones , TVs , e tc .
Rationale
Ob j e c t i v e : t o r e a l i z e t h e i m p o r t a n c e o f t h e b i n a r y n u m b e r s y s t e m a n d c on v e r t n u m b e r s b e t w e e n b a s e - t e n a n d b a s e - t w o n u m b e r
s y s t e m s .
![Page 4: Binary Slides](https://reader035.fdocuments.us/reader035/viewer/2022062303/555647a3d8b42aa41e8b4845/html5/thumbnails/4.jpg)
Processing Information
Electricity is either on or off.
1=on0=off
![Page 5: Binary Slides](https://reader035.fdocuments.us/reader035/viewer/2022062303/555647a3d8b42aa41e8b4845/html5/thumbnails/5.jpg)
Decimal Numbers
Base-Ten System
01234567891011121314959697989910010115161718192021222324
103 102 101 100 10-1 10-2
Ones
Decimal Point
TensHundreds
Thousands
![Page 6: Binary Slides](https://reader035.fdocuments.us/reader035/viewer/2022062303/555647a3d8b42aa41e8b4845/html5/thumbnails/6.jpg)
Expanded Form
103 102 101 100 10-1 10-2
OnesTens
Hundreds
Thousands
2 5 3
82000+500+30+8=2538
6 9 4
76000+900+40+7=6947
![Page 7: Binary Slides](https://reader035.fdocuments.us/reader035/viewer/2022062303/555647a3d8b42aa41e8b4845/html5/thumbnails/7.jpg)
Binary Numbers
Base-Two System
0110111001011111000100110101011110011011110111110000110Dec
. Binary Number
0 0 0 0 0
1 0 0 0 1
2 0 0 1 0
3 0 0 1 1
4 0 1 0 0
5 0 1 1 1
24 23 22 21 20
16 8 4 2 1 Value
OnesTwos
Fours
Eights
Sixteens
![Page 8: Binary Slides](https://reader035.fdocuments.us/reader035/viewer/2022062303/555647a3d8b42aa41e8b4845/html5/thumbnails/8.jpg)
Binary Numbers, Simplified
“Binary Numbers in 60 Seconds”YouTube
![Page 9: Binary Slides](https://reader035.fdocuments.us/reader035/viewer/2022062303/555647a3d8b42aa41e8b4845/html5/thumbnails/9.jpg)
Converting: Binary to Decimal
24 23 22 21 20
16 8 4 2 1
1 0 0 1 0
(16x1)+ (8x0)+ (4x0)+ (2x1)+(1x0) =
1 1 0 1 0
(16x1)+ (8x1) + (4x0)+
(2x1)+(1x0) =
18
25
![Page 10: Binary Slides](https://reader035.fdocuments.us/reader035/viewer/2022062303/555647a3d8b42aa41e8b4845/html5/thumbnails/10.jpg)
Converting: Decimal to Binary
24 23 22 21 20
16 8 4 2 1
11 =
28 =
0 1 0 1 1
1 1 1 0 0
![Page 11: Binary Slides](https://reader035.fdocuments.us/reader035/viewer/2022062303/555647a3d8b42aa41e8b4845/html5/thumbnails/11.jpg)
Binary Addition
17 + 24 = ____
Excel Link
![Page 12: Binary Slides](https://reader035.fdocuments.us/reader035/viewer/2022062303/555647a3d8b42aa41e8b4845/html5/thumbnails/12.jpg)
Partner Work
Assignment: With a partner, you have 5 minutes to convert decimal numbers to binary numbers.
Dec. Binary Number
14
9
21
10
25
1 1 1 0
1 0 0 1
0 1 0 1
1 0 1 0
1 0 0 1
0
0
1
0
1
![Page 13: Binary Slides](https://reader035.fdocuments.us/reader035/viewer/2022062303/555647a3d8b42aa41e8b4845/html5/thumbnails/13.jpg)
Bits and Bytes Name Size
Bit 1, 0
Byte 8 bits
Kilobyte 2^10 = 1,024
Megabyte 2^20 = 1,048,576
Gigabyte 2^30 = 1,073,741,824
Terabyte 2^40 = 1,099,511,627,776
Petabyte 2^50 = 1,125,899,906,842,624
Exabyte 2^60 = 1,152,921,504,606,846,976
Zettabyte 2^70 = 1,180,591,620,717,411,303,424
Yottabyte 2^80 = 1,208,925,819,614,629,174,706,176
![Page 14: Binary Slides](https://reader035.fdocuments.us/reader035/viewer/2022062303/555647a3d8b42aa41e8b4845/html5/thumbnails/14.jpg)
Easy Conversions
![Page 15: Binary Slides](https://reader035.fdocuments.us/reader035/viewer/2022062303/555647a3d8b42aa41e8b4845/html5/thumbnails/15.jpg)
Summary
Bits are binary digits. Each bit can hold the value 0 or 1. Bytes are
made up of 8 bits each. Binary math works just like decimal math,
but each bit can have a value of only 0 or 1. Microchips use transistors to process the
information (on and off electrical currents) so the computer understands it.
![Page 16: Binary Slides](https://reader035.fdocuments.us/reader035/viewer/2022062303/555647a3d8b42aa41e8b4845/html5/thumbnails/16.jpg)
“THERE ARE ONLY 10 KINDS OF PEOPLE IN THIS WORLD, THOSE WHO UNDERSTAND BINARY AND
THOSE WHO DON’T.”
![Page 17: Binary Slides](https://reader035.fdocuments.us/reader035/viewer/2022062303/555647a3d8b42aa41e8b4845/html5/thumbnails/17.jpg)
References
MathCrazyTutoring. (2007, February 13). Binary code in 60 seconds [Video file]. Retrieved from http://www.youtube.com/watch?v=qdFmSlFojIw
Binary primer. (n.d.). Retrieved from http://www.lesley.edu/faculty/wbarowy/c7100H/Binary.html
Brian, M. (2000, April 1). How Bits and Bytes Work. Retrieved from http://computer.howstuffworks.com/bytes.htm