The octal number 326.4 is equivalent to
2016
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
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Correct answer: C
Key result: Octal 326.4 = 214.5 (decimal) = D6.8 (hex).
Convert octal to decimal: 3×8^2 + 2×8 + 6 + 4×8^-1 = 192 + 16 + 6 + 0.5 = 214.5
Convert the integer part (214) to hexadecimal: 214 ÷ 16 = 13 remainder 6, and 13 = D, so integer part in hex is D6.
Convert the fractional part (0.5) to hexadecimal: 0.5 × 16 = 8 → fractional hex digit is 8, giving .8 in hex.
Combine integer and fractional hex parts: D6.8.
Therefore, octal 326.4 = 214.5 in decimal and = D6.8 in hexadecimal.