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JSCE Mathematics 2024 Objective — Question 68

Question 68 of 80 from the Junior Secondary Certificate Examination (JSCE) Mathematics 2024 Objective paper, with the correct answer and a full explanation.

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Evaluate 2101(three) in base ten and hence calculate its conversion to base four.

  • A. 1000(four)Correct
  • B. 1010(four)
  • C. 1002(four)
  • D. 121(four)

Explanation

2101(three) = 2 x 27 + 1 x 9 + 0 + 1 = 64. 64 = 1 x 4^3, so it is 1000(four).

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