Which of the following is the correct representation of the decimal number 15 in

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Question: Which of the following is the correct representation of the decimal number 15 in base 8?

Options:

Correct Answer: 17

Solution:

In base 8, the decimal number 15 is represented as \'17\'.

Which of the following is the correct representation of the decimal number 15 in base 8?

Which of the following is the correct representation of the decimal number 15 in base 8?

Step 1: Understand that base 8 (octal) uses digits from 0 to 7.
Step 2: Convert the decimal number 15 to base 8 by dividing it by 8.
Step 3: Divide 15 by 8. The quotient is 1 and the remainder is 7.
Step 4: Write down the remainder (7). This is the least significant digit (rightmost).
Step 5: Take the quotient (1) and divide it by 8 again. The quotient is 0 and the remainder is 1.
Step 6: Write down the remainder (1). This is the next digit to the left.
Step 7: Combine the digits from step 6 and step 4. The base 8 representation is '17'.

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