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Binary Numbers and Computing

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The document explains binary numbers and computing, defining key concepts such as bits and bytes, with a bit being a single binary digit and a byte comprising 8 bits. It details binary counting, showing the relationship between decimal and binary numbers and offering examples of binary code for students to decipher. Additionally, it includes interactive exercises to engage students in learning binary through group activities.

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The Keyto Binary Numbers and Computing
First, some key terms:ComputerBitsBytesBinary CountingDecimal
What is a Computer?Simply put,a machine that flips binary digits on and off.
Bits and BytesA 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.
Bits and BytesA 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.
Binary CountingWe 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.
Binary CountingThe same goes for binary, except that we can only use the numbers 0 through 1. Check out this counting:
Binary CountingDecimal0123456789Binary01101110010111011110001001
If you can count, you can learn the binary system!
First, let’s watch this...http://www.youtube.com/watch?v=b6vHZ95XDwU
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.)
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 =
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 =
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 =
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 =
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 =
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 =
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 =
Work in table groups and decipher these binary codes:1. 11000 = 242. 00001 = 13. 01010 = 104. 00111 = 75. 10001 = 176. 00100 = 47. 01001 = 98. 26 =9. 3 =10. 12 =11. 20 =12. 5 =13. 31 =14. 22 =
Work in table groups and decipher these binary codes:1. 11000 = 242. 00001 = 13. 01010 = 104. 00111 = 75. 10001 = 176. 00100 = 47. 01001 = 98. 26 = 110109. 3 =10. 12 =11. 20 =12. 5 =13. 31 =14. 22 =
Work in table groups and decipher these binary codes:1. 11000 = 242. 00001 = 13. 01010 = 104. 00111 = 75. 10001 = 176. 00100 = 47. 01001 = 98. 26 = 110109. 3 = 0001110. 12 =11. 20 =12. 5 =13. 31 =14. 22 =
Work in table groups and decipher these binary codes:1. 11000 = 242. 00001 = 13. 01010 = 104. 00111 = 75. 10001 = 176. 00100 = 47. 01001 = 98. 26 = 110109. 3 = 0001110. 12 = 0110011. 20 =12. 5 =13. 31 =14. 22 =
Work in table groups and decipher these binary codes:1. 11000 = 242. 00001 = 13. 01010 = 104. 00111 = 75. 10001 = 176. 00100 = 47. 01001 = 98. 26 = 110109. 3 = 0001110. 12 = 0110011. 20 = 1010012. 5 =13. 31 =14. 22 =
Work in table groups and decipher these binary codes:1. 11000 = 242. 00001 = 13. 01010 = 104. 00111 = 75. 10001 = 176. 00100 = 47. 01001 = 98. 26 = 110109. 3 = 0001110. 12 = 0110011. 20 = 1010012. 5 = 0010113. 31 =14. 22 =
Work in table groups and decipher these binary codes:1. 11000 = 242. 00001 = 13. 01010 = 104. 00111 = 75. 10001 = 176. 00100 = 47. 01001 = 98. 26 = 110109. 3 = 0001110. 12 = 0110011. 20 = 1010012. 5 = 0010113. 31 = 1111114. 22 =
Work in table groups and decipher these binary codes:1. 11000 = 242. 00001 = 13. 01010 = 104. 00111 = 75. 10001 = 176. 00100 = 47. 01001 = 98. 26 = 110109. 3 = 0001110. 12 = 0110011. 20 = 1010012. 5 = 0010113. 31 = 1111114. 22 = 10110
Crack this Code:01000 = 00101 = 01100 = 10000 = 11011 = 01101 = 00101 = space = 27
Crack this Code:HELP(space)ME01000 = 00101 = 01100 = 10000 = 11011 = 01101 = 00101 = Help Me!space = 27

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Binary Numbers and Computing

  • 1. The Keyto Binary Numbers and Computing
  • 2. First, some key terms:ComputerBitsBytesBinary CountingDecimal
  • 3. What is a Computer?Simply put,a machine that flips binary digits on and off.
  • 4. Bits and BytesA 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.
  • 5. Bits and BytesA 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.
  • 6. Binary CountingWe 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.
  • 7. Binary CountingThe same goes for binary, except that we can only use the numbers 0 through 1. Check out this counting:
  • 9. If you can count, you can learn the binary system!
  • 10. First, let’s watch this...http://www.youtube.com/watch?v=b6vHZ95XDwU
  • 11. 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.)
  • 12. 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 =
  • 13. 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 =
  • 14. 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 =
  • 15. 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 =
  • 16. 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 =
  • 17. 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 =
  • 18. 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 =
  • 19. Work in table groups and decipher these binary codes:1. 11000 = 242. 00001 = 13. 01010 = 104. 00111 = 75. 10001 = 176. 00100 = 47. 01001 = 98. 26 =9. 3 =10. 12 =11. 20 =12. 5 =13. 31 =14. 22 =
  • 20. Work in table groups and decipher these binary codes:1. 11000 = 242. 00001 = 13. 01010 = 104. 00111 = 75. 10001 = 176. 00100 = 47. 01001 = 98. 26 = 110109. 3 =10. 12 =11. 20 =12. 5 =13. 31 =14. 22 =
  • 21. Work in table groups and decipher these binary codes:1. 11000 = 242. 00001 = 13. 01010 = 104. 00111 = 75. 10001 = 176. 00100 = 47. 01001 = 98. 26 = 110109. 3 = 0001110. 12 =11. 20 =12. 5 =13. 31 =14. 22 =
  • 22. Work in table groups and decipher these binary codes:1. 11000 = 242. 00001 = 13. 01010 = 104. 00111 = 75. 10001 = 176. 00100 = 47. 01001 = 98. 26 = 110109. 3 = 0001110. 12 = 0110011. 20 =12. 5 =13. 31 =14. 22 =
  • 23. Work in table groups and decipher these binary codes:1. 11000 = 242. 00001 = 13. 01010 = 104. 00111 = 75. 10001 = 176. 00100 = 47. 01001 = 98. 26 = 110109. 3 = 0001110. 12 = 0110011. 20 = 1010012. 5 =13. 31 =14. 22 =
  • 24. Work in table groups and decipher these binary codes:1. 11000 = 242. 00001 = 13. 01010 = 104. 00111 = 75. 10001 = 176. 00100 = 47. 01001 = 98. 26 = 110109. 3 = 0001110. 12 = 0110011. 20 = 1010012. 5 = 0010113. 31 =14. 22 =
  • 25. Work in table groups and decipher these binary codes:1. 11000 = 242. 00001 = 13. 01010 = 104. 00111 = 75. 10001 = 176. 00100 = 47. 01001 = 98. 26 = 110109. 3 = 0001110. 12 = 0110011. 20 = 1010012. 5 = 0010113. 31 = 1111114. 22 =
  • 26. Work in table groups and decipher these binary codes:1. 11000 = 242. 00001 = 13. 01010 = 104. 00111 = 75. 10001 = 176. 00100 = 47. 01001 = 98. 26 = 110109. 3 = 0001110. 12 = 0110011. 20 = 1010012. 5 = 0010113. 31 = 1111114. 22 = 10110
  • 27. Crack this Code:01000 = 00101 = 01100 = 10000 = 11011 = 01101 = 00101 = space = 27
  • 28. Crack this Code:HELP(space)ME01000 = 00101 = 01100 = 10000 = 11011 = 01101 = 00101 = Help Me!space = 27