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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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