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=
Answer: 105
7
8
S = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9}
Example: convert the number 111,base 10 to octal.
738
9
1
8
1
1
7310 = 1118
 The conversion between binary and octal is quite simple.
 Since 2 to the power of 3 equals 8, it takes 3 base 2 digits to
combine to make a base 8 digit.
 000 base 2 equals 0 base 8
0012 = 18
0102 = 28
0112 = 38
1002 = 48
1012 = 58
1102 = 68
1112 = 78
 What if you have more than three
binary digits, like 110011?
 Just separate the digits into groups of
three from the right, then convert
each group into the corresponding
base 8 digit.
 110 011 base 2 = 63 base 8
 1100101 = 1 100 101 = 001 100 101
PPT ON NUMBER SYSTEM
PPT ON NUMBER SYSTEM
PPT ON NUMBER SYSTEM

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PPT ON NUMBER SYSTEM

  • 1.
  • 2.
  • 3.
  • 4.
  • 5.
  • 6. =
  • 8. 8 S = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9}
  • 9.
  • 10.
  • 11.
  • 12. Example: convert the number 111,base 10 to octal. 738 9 1 8 1 1 7310 = 1118
  • 13.  The conversion between binary and octal is quite simple.  Since 2 to the power of 3 equals 8, it takes 3 base 2 digits to combine to make a base 8 digit.  000 base 2 equals 0 base 8 0012 = 18 0102 = 28 0112 = 38 1002 = 48 1012 = 58 1102 = 68 1112 = 78
  • 14.  What if you have more than three binary digits, like 110011?  Just separate the digits into groups of three from the right, then convert each group into the corresponding base 8 digit.  110 011 base 2 = 63 base 8  1100101 = 1 100 101 = 001 100 101