The conversion of 10101111001.01112 to octal is : 

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  1. 2561.348
  2. 2542.348
  3. 2571.348
  4. 2671.328

Answer (Detailed Solution Below)

Option 3 : 2571.348
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Detailed Solution

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Concept: 

For binary to octal conversion:

  • group of three digits of binary code is converted to octal value.
  • octal value lies between 0 to 7.
  • Binary value

    Octal value
    000 0
    001 1
    010 2
    011 3
    100 4
    101 5
    110 6
    111 7

 

Calculation: 

In binary number,for making group of three digit, start with left and right of the decimal point that is

10 101  111  001  . 011 1

 we can add zero at the last corners of decimal point to complete the group of three digits.

010 101  111  001  .  011  100  

corresponds to octal value are 

 2       5     7     1    .    3       4

so octal value will be 2571.34

correct option is 3

 

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