Question 96

Computer Awareness Number representations Easy

The number (2217)8 is equivalent to

(A) (608)16
(B) (028F)16
(C) (048F)16
(D) (2297)16
✓ Correct Answer: Option C Verified Solution

📘 Step-by-Step Solution & Detailed Explanation:

Octal to binary (3 bits per digit): 2 = 010, 2 = 010, 1 = 001, 7 = 111, so \(2217_8 = 010\,010\,001\,111\).

Regroup into 4 bits: 0100 1000 1111 = \(48F_{16}\) (= 048F).

Check: \(2217_8 = 1167_{10}\), and \(48F_{16} = 1024 + 128 + 15 = 1167\).

Answer: (C) (048F)₁₆

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