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GATE CSE 2017 Set 2 | Question: 1

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The representation of the value of a $16\text{-bit}$ unsigned integer $X$ in hexadecimal number system is $\textsf{BCA9}$. The representation of the value of $X$ in octal number system is

  1. $571244$
  2. $736251$
  3. $571247$
  4. $136251$
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7 Answers

1 votes
1 votes
HEX(BCA9) = BINARY(1011 1100 1010 1001)

BINARY(1 011 110 010 101 001) = OCTA(136251)

Ans D
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16 bit hexadecimal representation of BCA9 in binary is 1011 1100 1010 1001

now group combination of 3 bit LSB for converting it to octal no as 001 011 110 010 101 001 equivalent ot 136251

so option D is correct ans
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