The Octal equivalent of hexadecimal (D.C)16 is:
2021
The Octal equivalent of hexadecimal (D.C)16 is:
- A.
(15.6)8
- B.
(61.6)8
- C.
(15.3)8
- D.
(61.3)8
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Correct answer: A
Answer: (15.6) base 8
Method 1 — Convert integer and fractional parts separately:
Integer part: D (hex) = 13 (decimal). 13 decimal = 1×8 + 5, so integer part in octal is 15.
Fractional part: C (hex) = 12. Fraction = 12/16 = 0.75 (decimal). Multiply by 8: 0.75 × 8 = 6.0, so the first fractional octal digit is 6 and the fractional part terminates.
Combine parts: integer 15 and fractional 6 → (15.6) base 8.
Method 2 — Hex → Binary → Group into octal digits (optional):
Hex D.C → binary 1101.1100.
Group binary into 3-bit blocks around the point: 001 101 . 110 000 → octal digits 1 5 . 6 → (15.6) base 8.
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