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  1. 2. Genghis Khan organized his men into groups of 10 soldiers under a "leader of 10". Ten "leaders of 10" were under a "leader of 100". Ten "leaders of 1000" were under a "leader of 1,000."
  2. (a) If Khan had an army of 10,000 soldiers at the lowest level, how many men in total were under him in his organization?
  3. (b) If Khan had an army of 5,763 soldiers at the lowest level, how many men in total were under him in his organization? Assume that the groups of 10 should contain 10 if possible, but that one group at each level may need to contain fewer.
  4.  
  5. 7. You have a digital music collection of 2,300 songs with an average of 4.6 MB storage required for each song.
  6. (a) How many 650 MB CDs will it take for you to burn your entire collection?
  7. (b) If you could burn it to 4.7 GB DVDs, how many DVDs would it take?
  8.  
  9. 8. You have a digital photo collection with photos that require an average of 75 KB of storage each.
  10. (a) How many photos can you fit on a 650 MB CD?
  11. (b) How many photos can you fit on a 4.7 GB DVD?
  12.  
  13. 11. A desktop laser printer has a 300-pixel per-inch resolution. If each pixel is stored in one bit of memory, how many bytes of memory are required to store the complete image of one 8 1/2- by-11 inch page of paper?
  14.  
  15. 2a. 11,110 soldiers
  16. Khan - leader of 10,000
  17. Leader of 1,000
  18. Leader of 100
  19. Leader of 10
  20. add all=11,000
  21. 2b. 6,401 soldiers
  22. 5,763+576+57+5 (divide each "leader" by ten)
  23. 7. 16.28 CDs, 2.25 DVDs
  24. 2,300 songs times 4.6 MB = 10,580 MB = 10.6 GB
  25. 10,580 / 650 = 16.28 CDs
  26. 10.6 GB / 4.7 GB = 2.25 DVDs
  27. 8. 8875 pictures on CD, 65,711 pictures on DVD
  28. 650 MB = 665,600 KB
  29. 4.7 GB = 4,928,307.2 KB
  30. 665,600 KB / 75 = 8874.67
  31. 4,928,307.2 / 75 = 65,710.76
  32. 11. 3,506.25 bytes
  33. 300 b = 37.5 B *8 + (37.5/2) = 318.75 B * 11 = 3,506.25 B
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