Which of the following numbers is the largest in base-8?

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Question: Which of the following numbers is the largest in base-8?

Options:

Correct Answer: 72

Solution:

\'72\' in base-8 is 58 in decimal, which is larger than the others.

Which of the following numbers is the largest in base-8?

Which of the following numbers is the largest in base-8?

Step 1: Understand that base-8 means each digit represents a power of 8.
Step 2: Convert each number from base-8 to decimal (base-10) to compare them.
Step 3: For '72' in base-8, calculate: 7 * 8^1 + 2 * 8^0 = 56 + 2 = 58 in decimal.
Step 4: Convert any other base-8 numbers given in the question to decimal as well.
Step 5: Compare all the decimal values obtained from the conversions.
Step 6: Identify which decimal value is the largest.

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