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Math Help - Octal form

  1. #1
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    Octal form

    Convert the decimal (base ten) number 2695 to octal form (base eight)


    Help please and ty!
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  2. #2
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    Quote Originally Posted by Draft View Post
    Convert the decimal (base ten) number 2695 to octal form (base eight)


    Help please and ty!
    Divide the number by 8 and write down the remainder:

    2695 : 8 = 336 >>>> R = 7

    336 : 8 = 42 >>>> R = 0

    42 : 8 = 5 >>>> R = 2

    5 : 8 = 0 >>>> R = 5

    Therefore

    2695_{10} = 5207_8
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  3. #3
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    how do u get

    336 >>>> R = 7

    etc
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  4. #4
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    Quote Originally Posted by Draft View Post
    how do u get

    336 >>>> R = 7

    etc
    Pardon?
    Code:
      2695 : 8 = 336
    -(24)
    -----
       29
     -(24)
    -----
        55
      -(48)
      -----
         7  <<<<<< this is the remainder
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  5. #5
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    i'm sorry this is really confusing for me, where did you get the 24? and the 29? and then the 55 and 48?
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  6. #6
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    He said in his first post: divide by 8.

    8 divides into 2695 336 times with remainder 7.
    So 2695= 8(336)+ 7

    8 divides into 336 42 times with remainder 0.
    So 336= 8(42) and 2695= 8(8(42))+ 7

    8 divides into 42 5 times with remainder 2.
    So 42= 8(5)+ 2 and 2695= 8(8(8(5)+ 2)+ 7= 8=5(8^3)+ 2(8^2)+ 0(8)+ 7.

    The octal form of 2695_{10} is 5207_8.
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