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Let 312 as a number in the base-B number system, where B is unknown. If (312)B = (54)10, then what is the value of the base B?

Question

Let 312 as a number in the base-B number system, where B is unknown. If (312)B = (54)10, then what is the value of the base B?

A.

6

B.

5

C.

4

D.

12

Solution

Correct option is C

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