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How to Convert (0.ABBA)16 hexadecimal into octal?


How to convert this , I m not getting this? I tried converting that into decimal 10*16^-1 and so on and got this (0.6708068848)10 Now it become really a complex task is there any short method to do so?


Solution

  • I think you're over-complicating it; I find it easiest to first convert it to binary (base-2) and then to octal (base-8).

    Binary (bits partitioned into 3's because octal numbers have 3 bits):

    0.101_010_111_011_101_000
    

    Octal:

    0.527350