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How are base 2 and base 8 related?

Updated: 4/28/2022
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11y ago

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8 = 23. Here are the first few integers:

DECIMAL: OCTAL : BINARY (Isn't there a way to make a table here?)

  • 0 : 0 : 0
  • 1 : 1 : 1
  • 2 : 2 : 10
  • 3 : 3 : 11
  • 4 : 4 : 100
  • 5 : 5 : 101
  • 6 : 6 : 110
  • 7 : 7 : 111
  • 8 : 10 : 1000
  • 9 : 11 : 1001
  • 10 : 12 : 1010
  • 11 : 13 : 1011
  • 12 : 14 : 1100
  • 13 : 15 : 1101
  • 14 : 16 : 1110
  • 15 : 17 : 1111
  • 16 : 20 : 10000

Each system has the corresponding number of different digits -- ten : eight : two -- so when the count first reaches a new power of that number (bolded above: ten, [a hundred, a thousand...] : eight, [sixty-four, five-hundred-twelve...] : two, four, eight, sixteen, [thirty-two...] ) you need to add another place, writing a 1 and as many zeroes as the power.

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Q: How are base 2 and base 8 related?
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