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What is the base 8 representation of the decimal number 13,562? (A) 6051 (B) 83502 (C) 20538 (D) 32372

User Aerijman
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Final answer:

The base 8 representation of the decimal number 13,562 is 20538 as obtained by repeatedly dividing by 8 and concatenating the remainders.

Step-by-step explanation:

The base 8 representation of the decimal number 13,562 is (C) 20538.

To convert a decimal number to base 8, we need to divide the decimal number by 8 and record the remainder at each step, until the quotient becomes 0. The sequence of remainders will form the base 8 representation of the decimal number.

In this case, dividing 13,562 by 8 repeatedly gives us the remainders 2, 6, 0, and 5, which when combined, form the base 8 representation 20538.

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User Rubiii
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