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30 December, 12:42

What is the base 8 representation of the number 11100111 (2)

A) 231 (8)

B) 329 (8)

C) 347 (8)

D) 385 (8)

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Answers (1)
  1. 30 December, 16:00
    0
    Remark

    You could convert base two to base 10 and then convert base 10 to base 8. That's the long way. The procedure below is the short way.

    Step One

    Write the base 2 number in groups of 3 starting from the right and going left

    11 100 111

    Step Two

    Convert the base 2 numbers in groups of 3 to base 8. The largest result will be a 7

    11 = 2*1 + 1 = 2 + 1 = 3

    100 = 1*2^2 = 4

    111 = 1*2^2 + 1*2 + 1 = 7

    Step Three

    Read the answer going down.

    347 is the answer

    Answer

    347 (8) = C
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