Let the representation of a number in base 3 be 210. What is the hexadecimal…
2021
Let the representation of a number in base 3 be 210. What is the hexadecimal representation of the number?
- A.
15
- B.
21
- C.
D2
- D.
528
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Correct answer: A
Key insight: convert the base-3 number to decimal, then to hexadecimal.
Step 1: Convert 210 (base 3) to decimal: 2×3^2 + 1×3^1 + 0×3^0 = 18 + 3 + 0 = 21 (decimal).
Step 2: Convert 21 (decimal) to hexadecimal: 21 ÷ 16 = 1 remainder 5, so the hexadecimal representation is 15.
Conclusion: The hexadecimal representation of 210 (base 3) is 15.
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