UGC-NET | UGC NET CS 2016 Aug – II | Question 6

The octal number 326.4 is equivalent to
(A) (214.2)₁₀ and (D6.8)₎₁₆
(B) (212.5)₁₀ and (D6.8)₎₁₆
(C) (214.5)₁₀ and (D6.8)₎₁₆
(D) (214.5)₁₀ and (D6.4)₎₁₆


Answer: (C)

Explanation: To solve this question we will apply traditional approach:
(326.4)₈ = 8² * 3 + 8¹ * 2 + 8⁰ * 6 . 8^-1 * 4 = ( 214.5)₁₀ is decimal representation.
For hexadecimal representation group binary sequence of (214.5) = (011010110.100)2 into group of 4.
i.e. 0 1101 0110. 1000 (0 can be padded after decimal) this is equivalent to- (D6.8)₁₆.
So, option (C) is correct.

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