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If (21121)3 = (C)4, then what is the value of C?

358637Medium DSSSB TGT Computer Science 0 replies 0 views
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If (21121)3 = (C)4, then what is the value of C?
  • A(3032)4
  • B(2023)4
  • C(3031)4
  • D(2112)4
Correct answer: C

Explanation

(21121)₃ = 2 × 81 + 1 × 27 + 1 × 9 + 2 × 3 + 1 = 205. Converting 205 to base 4 gives 3 × 64 + 0 × 16 + 3 × 4 + 1 = (3031)₄.

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