Which of the following is/are EQUAL to 224 in radix-5 (i.e., base-5) notation?
2024
Which of the following is/are EQUAL to 224 in radix-5 (i.e., base-5) notation?
- A.
64 in radix-10
- B.
100 in radix-8
- C.
50 in radix-16
- D.
121 in radix-7
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Correct answer: A, B, D
Key step: convert 224 (base 5) to decimal: 2×5^2 + 2×5 + 4 = 64.
64 in radix-10 — equals 64 decimal.
100 in radix-8 — equals 64 decimal (1×8^2).
121 in radix-7 — equals 64 decimal (1×7^2 + 2×7 + 1).
Therefore, the representations equal to 224 in base 5 are: 64 in radix-10, 100 in radix-8, and 121 in radix-7. (For reference, 50 in radix-16 equals 80 decimal, so it does not match.)
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