If 12A7C16 = X8, then the value of X is [ISRO 2016]

2016

If 12A7C16 = X8, then the value of X is [ISRO 2016]

  1. A.

    224174

  2. B.

    425174

  3. C.

    6173

  4. D.

    225174

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Correct answer: D

The question asks to convert the hexadecimal number 12A7C into its octal equivalent X. Converting each hex digit to binary gives 0001 0010 1010 0111 1100. Grouping these bits into triplets from right to left produces the octal digits 2, 2, 5, 1, 7, 4. Consequently, the calculated value for X is 225174.

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