What is the decimal equivalent of the base-8 number '57'?

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Question: What is the decimal equivalent of the base-8 number \'57\'?

Options:

Correct Answer: 47

Solution:

\'57\' in base-8 is 5*8 + 7 = 40 + 7 = 47 in decimal.

What is the decimal equivalent of the base-8 number '57'?

What is the decimal equivalent of the base-8 number '57'?

Step 1: Identify the base-8 number, which is '57'.
Step 2: Break down the number '57' into its digits: 5 and 7.
Step 3: Understand that the leftmost digit (5) is in the 'eights' place, and the rightmost digit (7) is in the 'ones' place.
Step 4: Calculate the value of the leftmost digit: 5 * 8 = 40.
Step 5: Calculate the value of the rightmost digit: 7 * 1 = 7.
Step 6: Add the two values together: 40 + 7 = 47.
Step 7: The decimal equivalent of the base-8 number '57' is 47.

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