Binary Numbers and Computing
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![Page 1: Binary Numbers and Computing](https://reader038.fdocuments.net/reader038/viewer/2022110118/55564ddfd8b42a8d0f8b4f3e/html5/thumbnails/1.jpg)
The Keyto Binary Numbers and
Computing
![Page 2: Binary Numbers and Computing](https://reader038.fdocuments.net/reader038/viewer/2022110118/55564ddfd8b42a8d0f8b4f3e/html5/thumbnails/2.jpg)
First, some key terms:
Computer
Bits
Bytes
Binary Counting
Decimal
![Page 3: Binary Numbers and Computing](https://reader038.fdocuments.net/reader038/viewer/2022110118/55564ddfd8b42a8d0f8b4f3e/html5/thumbnails/3.jpg)
What is a Computer?
Simply put,
a machine that flips binary digits
on and off.
![Page 4: Binary Numbers and Computing](https://reader038.fdocuments.net/reader038/viewer/2022110118/55564ddfd8b42a8d0f8b4f3e/html5/thumbnails/4.jpg)
Bits and Bytes
A bit is a single binary digit. (This is a useless amount of information)
But, when you group them together and have 8 bits,
this makes 1 byte.
![Page 5: Binary Numbers and Computing](https://reader038.fdocuments.net/reader038/viewer/2022110118/55564ddfd8b42a8d0f8b4f3e/html5/thumbnails/5.jpg)
Bits and Bytes
A single byte can have up to 256 different combinations
of 1s and 0s.
Typically information is broken up into bytes to be
stored, calculated, or transmitted.
![Page 6: Binary Numbers and Computing](https://reader038.fdocuments.net/reader038/viewer/2022110118/55564ddfd8b42a8d0f8b4f3e/html5/thumbnails/6.jpg)
Binary Counting
We count by using the numbers 0 through 9.
Then when we start all over again, we put a 1 for the first digit
and increment the second digit from 0 to 9 again.
![Page 7: Binary Numbers and Computing](https://reader038.fdocuments.net/reader038/viewer/2022110118/55564ddfd8b42a8d0f8b4f3e/html5/thumbnails/7.jpg)
Binary Counting
The same goes for binary, except that we can only use the
numbers 0 through 1.
Check out this counting:
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Binary Counting
Decimal0
1
2
3
4
5
6
7
8
9
Binary0
1
10
11
100
101
110
111
1000
1001
![Page 9: Binary Numbers and Computing](https://reader038.fdocuments.net/reader038/viewer/2022110118/55564ddfd8b42a8d0f8b4f3e/html5/thumbnails/9.jpg)
If you can count, you can learn the binary system!
![Page 10: Binary Numbers and Computing](https://reader038.fdocuments.net/reader038/viewer/2022110118/55564ddfd8b42a8d0f8b4f3e/html5/thumbnails/10.jpg)
First, let’s watch this...
http://www.youtube.com/watch?v=b6vHZ95XDwU
![Page 11: Binary Numbers and Computing](https://reader038.fdocuments.net/reader038/viewer/2022110118/55564ddfd8b42a8d0f8b4f3e/html5/thumbnails/11.jpg)
Now, let’s do this...
http://www.youtube.com/watch?v=Pz7dLWvi2w0
(This movie will not be viewed, it will be acted out by the class as it is on the video.)
![Page 12: Binary Numbers and Computing](https://reader038.fdocuments.net/reader038/viewer/2022110118/55564ddfd8b42a8d0f8b4f3e/html5/thumbnails/12.jpg)
Work in table groups and decipher these binary
codes:
1. 11000 =2. 00001 = 3. 01010 =4. 00111 =5. 10001 =6. 00100 =7. 01001 =
8. 26 =9. 3 =10. 12 =11. 20 =12. 5 =13. 31 =14. 22 =
![Page 13: Binary Numbers and Computing](https://reader038.fdocuments.net/reader038/viewer/2022110118/55564ddfd8b42a8d0f8b4f3e/html5/thumbnails/13.jpg)
Work in table groups and decipher these binary
codes:
1. 11000 = 242. 00001 =3. 01010 =4. 00111 =5. 10001 =6. 00100 =7. 01001 =
8. 26 =9. 3 =10. 12 =11. 20 =12. 5 =13. 31 =14. 22 =
![Page 14: Binary Numbers and Computing](https://reader038.fdocuments.net/reader038/viewer/2022110118/55564ddfd8b42a8d0f8b4f3e/html5/thumbnails/14.jpg)
Work in table groups and decipher these binary
codes:
1. 11000 = 242. 00001 = 13. 01010 =4. 00111 =5. 10001 =6. 00100 =7. 01001 =
8. 26 =9. 3 =10. 12 =11. 20 =12. 5 =13. 31 =14. 22 =
![Page 15: Binary Numbers and Computing](https://reader038.fdocuments.net/reader038/viewer/2022110118/55564ddfd8b42a8d0f8b4f3e/html5/thumbnails/15.jpg)
Work in table groups and decipher these binary
codes:
1. 11000 = 242. 00001 = 13. 01010 = 104. 00111 =5. 10001 =6. 00100 =7. 01001 =
8. 26 =9. 3 =10. 12 =11. 20 =12. 5 =13. 31 =14. 22 =
![Page 16: Binary Numbers and Computing](https://reader038.fdocuments.net/reader038/viewer/2022110118/55564ddfd8b42a8d0f8b4f3e/html5/thumbnails/16.jpg)
Work in table groups and decipher these binary
codes:
1. 11000 = 242. 00001 = 13. 01010 = 104. 00111 = 75. 10001 =6. 00100 =7. 01001 =
8. 26 =9. 3 =10. 12 =11. 20 =12. 5 =13. 31 =14. 22 =
![Page 17: Binary Numbers and Computing](https://reader038.fdocuments.net/reader038/viewer/2022110118/55564ddfd8b42a8d0f8b4f3e/html5/thumbnails/17.jpg)
Work in table groups and decipher these binary
codes:
1. 11000 = 242. 00001 = 13. 01010 = 104. 00111 = 75. 10001 = 176. 00100 =7. 01001 =
8. 26 =9. 3 =10. 12 =11. 20 =12. 5 =13. 31 =14. 22 =
![Page 18: Binary Numbers and Computing](https://reader038.fdocuments.net/reader038/viewer/2022110118/55564ddfd8b42a8d0f8b4f3e/html5/thumbnails/18.jpg)
Work in table groups and decipher these binary
codes:
1. 11000 = 242. 00001 = 13. 01010 = 104. 00111 = 75. 10001 = 176. 00100 = 47. 01001 =
8. 26 =9. 3 =10. 12 =11. 20 =12. 5 =13. 31 =14. 22 =
![Page 19: Binary Numbers and Computing](https://reader038.fdocuments.net/reader038/viewer/2022110118/55564ddfd8b42a8d0f8b4f3e/html5/thumbnails/19.jpg)
Work in table groups and decipher these binary
codes:
1. 11000 = 242. 00001 = 13. 01010 = 104. 00111 = 75. 10001 = 176. 00100 = 47. 01001 = 9
8. 26 =9. 3 =10. 12 =11. 20 =12. 5 =13. 31 =14. 22 =
![Page 20: Binary Numbers and Computing](https://reader038.fdocuments.net/reader038/viewer/2022110118/55564ddfd8b42a8d0f8b4f3e/html5/thumbnails/20.jpg)
Work in table groups and decipher these binary
codes:
1. 11000 = 242. 00001 = 13. 01010 = 104. 00111 = 75. 10001 = 176. 00100 = 47. 01001 = 9
8. 26 = 110109. 3 =10. 12 =11. 20 =12. 5 =13. 31 =14. 22 =
![Page 21: Binary Numbers and Computing](https://reader038.fdocuments.net/reader038/viewer/2022110118/55564ddfd8b42a8d0f8b4f3e/html5/thumbnails/21.jpg)
Work in table groups and decipher these binary
codes:
1. 11000 = 242. 00001 = 13. 01010 = 104. 00111 = 75. 10001 = 176. 00100 = 47. 01001 = 9
8. 26 = 110109. 3 = 0001110. 12 =11. 20 =12. 5 =13. 31 =14. 22 =
![Page 22: Binary Numbers and Computing](https://reader038.fdocuments.net/reader038/viewer/2022110118/55564ddfd8b42a8d0f8b4f3e/html5/thumbnails/22.jpg)
Work in table groups and decipher these binary
codes:
1. 11000 = 242. 00001 = 13. 01010 = 104. 00111 = 75. 10001 = 176. 00100 = 47. 01001 = 9
8. 26 = 110109. 3 = 0001110. 12 = 0110011. 20 =12. 5 =13. 31 =14. 22 =
![Page 23: Binary Numbers and Computing](https://reader038.fdocuments.net/reader038/viewer/2022110118/55564ddfd8b42a8d0f8b4f3e/html5/thumbnails/23.jpg)
Work in table groups and decipher these binary
codes:
1. 11000 = 242. 00001 = 13. 01010 = 104. 00111 = 75. 10001 = 176. 00100 = 47. 01001 = 9
8. 26 = 110109. 3 = 0001110. 12 = 0110011. 20 = 1010012. 5 =13. 31 =14. 22 =
![Page 24: Binary Numbers and Computing](https://reader038.fdocuments.net/reader038/viewer/2022110118/55564ddfd8b42a8d0f8b4f3e/html5/thumbnails/24.jpg)
Work in table groups and decipher these binary
codes:
1. 11000 = 242. 00001 = 13. 01010 = 104. 00111 = 75. 10001 = 176. 00100 = 47. 01001 = 9
8. 26 = 110109. 3 = 0001110. 12 = 0110011. 20 = 1010012. 5 = 0010113. 31 =14. 22 =
![Page 25: Binary Numbers and Computing](https://reader038.fdocuments.net/reader038/viewer/2022110118/55564ddfd8b42a8d0f8b4f3e/html5/thumbnails/25.jpg)
Work in table groups and decipher these binary
codes:
1. 11000 = 242. 00001 = 13. 01010 = 104. 00111 = 75. 10001 = 176. 00100 = 47. 01001 = 9
8. 26 = 110109. 3 = 0001110. 12 = 0110011. 20 = 1010012. 5 = 0010113. 31 = 1111114. 22 =
![Page 26: Binary Numbers and Computing](https://reader038.fdocuments.net/reader038/viewer/2022110118/55564ddfd8b42a8d0f8b4f3e/html5/thumbnails/26.jpg)
Work in table groups and decipher these binary
codes:
1. 11000 = 242. 00001 = 13. 01010 = 104. 00111 = 75. 10001 = 176. 00100 = 47. 01001 = 9
8. 26 = 110109. 3 = 0001110. 12 = 0110011. 20 = 1010012. 5 = 0010113. 31 = 1111114. 22 = 10110
![Page 27: Binary Numbers and Computing](https://reader038.fdocuments.net/reader038/viewer/2022110118/55564ddfd8b42a8d0f8b4f3e/html5/thumbnails/27.jpg)
Crack this Code:
space = 27
01000 = 00101 = 01100 = 10000 = 11011 = 01101 = 00101 =
![Page 28: Binary Numbers and Computing](https://reader038.fdocuments.net/reader038/viewer/2022110118/55564ddfd8b42a8d0f8b4f3e/html5/thumbnails/28.jpg)
Crack this Code:
space = 27
01000 = 00101 = 01100 = 10000 = 11011 = 01101 = 00101 =
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