The number (4312)₅ when expressed in base 10 is:
2019
The number (4312)₅ when expressed in base 10 is:
- A.
562
- B.
592
- C.
612
- D.
582
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Correct answer: D
Solution: Convert the base-5 number to base 10 by using place values.
(4312)₅ = 4×5³ + 3×5² + 1×5¹ + 2×5⁰
Calculate each term: 5³ = 125, so 4×125 = 500; 5² = 25, so 3×25 = 75; 1×5 = 5; 2×1 = 2.
Add them: 500 + 75 + 5 + 2 = 582.
Answer: The base-10 value is 582.
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