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Binary World (Digital World)

Binary World (Digital World). Eleanor Roosevelt High School Chin-Sung Lin. Man invented machines……. extended the power of muscle. Man invented computers……. extended the power of brain. The World of 1 and 0. Digitization. Digital Technology. The World of 1 and 0. Digitization.

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Binary World (Digital World)

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  1. Binary World(Digital World) Eleanor Roosevelt High School Chin-Sung Lin

  2. Man invented machines…… extended the power of muscle

  3. Man invented computers…… extended the power of brain

  4. The World of 1 and 0 Digitization Digital Technology

  5. The World of 1 and 0 Digitization Digital Technology

  6. Binary Numbers

  7. The world of 1 and 0………...starts from counting……

  8. represent “2” by “00110” represent “5” by “11111”

  9. represent “7” by “00011” ? represent “3” by “?????”

  10. How many numbers can be represented by5fingers? Answer: 32numbers 2 x 2 x 2 x 2 x 2 = 25 = 32

  11. Binary Numbers 00000 -----0 00100 -----4 00001 -----1 00101 -----5 00010 -----2 00110 -----6 00011 -----3 00111 -----7

  12. Binary Numbers 01000 -----8 01100 -----12 01001 -----9 01101 -----13 01010 -----10 01110 -----14 01011 -----11 01111 -----15

  13. Binary-to-Decimal Conversion

  14. Binary-to-Decimal Conversion 103 23 102 22 101 21 100 20 320 1 -----3201 3 x 103 + 2 x 102 + 0 x 101 + 1 x 100 = 3000 + 200 + 0 + 1 = 3201 0 1 0 1 -----5 0 x 23 + 1 x 22 + 0 x 21 + 1 x 20 = 0 + 4 + 0 + 1 = 5

  15. Binary-to-Decimal Conversion 23 22 21 20 1010----- 1 x 23 + 0 x 22 + 1 x 21 + 0 x 20 = 8 + 0 + 2 + 0 =

  16. Binary-to-Decimal Conversion 23 22 21 20 1010-----10 1 x 23 + 0 x 22 + 1 x 21 + 0 x 20 = 8 + 0 + 2 + 0 = 10

  17. Binary-to-Decimal Conversion 1 1 1 1 ----- 1 x 23 + 1 x 22 + 1 x 21 + 1 x 20 = 8 + 4 + 2 + 1 =

  18. Binary-to-Decimal Conversion 1 1 1 1 -----15 1 x 23 + 1 x 22 + 1 x 21 + 1 x 20 = 8 + 4 + 2 + 1 = 15

  19. Binary-to-Decimal Conversion 1 0 0 1 ----- 1 x 23 + 0 x 22 + 0 x 21 + 1 x 20 = 8 + 0 + 0 + 1 =

  20. Binary-to-Decimal Conversion 1 0 0 1 ----- 9 1 x 23 + 0 x 22 + 0 x 21 + 1 x 20 = 8 + 0 + 0 + 1 = 9

  21. Binary-to-Decimal Conversion 11 0 1 ----- 1 x 23 + 0 x 22 + 0 x 21 + 1 x 20 = 8 + 4 + 0 + 1 =

  22. Binary-to-Decimal Conversion 11 0 1 ----- 13 1 x 23 + 0 x 22 + 0 x 21 + 1 x 20 = 8 + 4 + 0 + 1 = 13

  23. Decimal-to-Binary Conversion

  24. Decimal-to-Binary Conversion 7 Decimal: 7 Binary:

  25. Decimal-to-Binary Conversion 7 2 Decimal: 7 Binary:

  26. Decimal-to-Binary Conversion 7 1 2 Decimal: 7 Binary: 3

  27. Decimal-to-Binary Conversion 7 1 2 Decimal: 7 Binary: 3 2

  28. Decimal-to-Binary Conversion 7 1 2 Decimal: 7 Binary: 3 2 1 1

  29. Decimal-to-Binary Conversion 7 1 2 Decimal: 7 Binary: 1 1 1 3 2 1 1

  30. Decimal-to-Binary Conversion 1 4 Decimal: 1 4 Binary:

  31. Decimal-to-Binary Conversion 1 4 2 Decimal: 1 4 Binary:

  32. Decimal-to-Binary Conversion 1 4 0 2 Decimal: 1 4 Binary: 7

  33. Decimal-to-Binary Conversion 1 4 0 2 Decimal: 1 4 Binary: 7 2

  34. Decimal-to-Binary Conversion 1 4 0 2 Decimal: 1 4 Binary: 7 2 1 3

  35. Decimal-to-Binary Conversion 1 4 0 2 Decimal: 1 4 Binary: 7 2 1 3 2

  36. Decimal-to-Binary Conversion 1 4 0 2 Decimal: 1 4 Binary: 7 2 1 3 1 2 1

  37. Decimal-to-Binary Conversion 1 4 0 2 Decimal: 1 4 Binary: 1 1 1 0 7 2 1 3 1 2 1

  38. Decimal-to-Binary Conversion 25 Decimal: 2 5 Binary:

  39. Decimal-to-Binary Conversion 2 5 1 2 Decimal: 2 5 Binary: 1 1 0 0 1 1 2 2 0 6 0 2 1 2 3 1

  40. Decimal-to-Binary Conversion 2 4 0 Decimal: 2 4 0 Binary:

  41. Decimal-to-Binary Conversion 2 4 0 0 2 Decimal: 2 4 0 Binary: 1 1 1 1 0 0 0 0 1 2 0 2 0 6 0 0 2 0 2 3 0 2 1 5 1 7 2 1 3 2 1 1

  42. Binary Arithmetic

  43. Binary Addition 0 0 0 1 1 ----- 3 + 0 0 0 1 0 ----- +2 0 0 1 0 1 ----- 5

  44. Binary Addition 0 0 1 0 1 ----- 5 + 0 0 0 1 1 ----- +3 0 1 0 0 0 ----- 8

  45. Binary Addition 0 1 0 0 1 ----- 9 + 0 0 1 1 1 ----- +7 1 0 0 0 0 ----- 16

  46. Binary Subtraction 0 0 1 1 1 ----- 7 - 0 0 1 0 1 ----- -5 0 0 0 1 0 ----- 2

  47. Binary Subtraction 0 1 000----- 8 - 0 0 0 0 1 ----- -1 0 0 1 1 1 ----- 7

  48. Binary Subtraction 0 1 0 1 0----- 10 - 0 0 0 1 1 ----- -3 0 0 1 1 1 ------ 7

  49. Hexadecimal Numbers

  50. Number Systems Hexadecimal 0 1 2 3 4 5 6 7 8 9 A B C D E F Decimal 0 1 2 3 4 5 6 7 8 9 Octal 0 1 2 3 4 5 6 7 Binary 0 1

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