binary numbers and computing

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The Key to Binary Numbers and Computing

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Page 1: Binary Numbers and Computing

The Keyto Binary Numbers and

Computing

Page 2: Binary Numbers and Computing

First, some key terms:

Computer

Bits

Bytes

Binary Counting

Decimal

Page 3: Binary Numbers and Computing

What is a Computer?

Simply put,

a machine that flips binary digits

on and off.

Page 4: Binary Numbers and Computing

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

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

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

Binary Counting

The same goes for binary, except that we can only use the

numbers 0 through 1.

Check out this counting:

Page 8: Binary Numbers and Computing

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

If you can count, you can learn the binary system!

Page 10: Binary Numbers and Computing

First, let’s watch this...

http://www.youtube.com/watch?v=b6vHZ95XDwU

Page 11: Binary Numbers and Computing

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

Crack this Code:

space = 27

01000 = 00101 = 01100 = 10000 = 11011 = 01101 = 00101 =

Page 28: Binary Numbers and Computing

Crack this Code:

space = 27

01000 = 00101 = 01100 = 10000 = 11011 = 01101 = 00101 =

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