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Question 98

Computer Awareness Number representations Easy

What are the values of R<sub>1</sub> and R<sub>2</sub> respectively in the expression (235)<sub>R1</sub> = (565)<sub>10</sub> = (1065)<sub>R2</sub>?

(A) 8, 16
(B) 16, 8
(C) 8, 12
(D) 16, 12
✓ Correct Answer: Option B Verified Solution

📘 Step-by-Step Solution & Detailed Explanation:

Check option (B), R1 = 16 and R2 = 8:

  • \((235)_{16} = 2 \times 256 + 3 \times 16 + 5 = 512 + 48 + 5 = 565\). Correct.
  • \((1065)_8 = 1 \times 512 + 0 + 6 \times 8 + 5 = 512 + 48 + 5 = 565\). Correct.

Answer: (B) 16, 8

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