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In a base 8 number system, what is the value of the number 57 in decimal?
Practice Questions
Q1
In a base 8 number system, what is the value of the number 57 in decimal?
47
45
49
50
Questions & Step-by-Step Solutions
In a base 8 number system, what is the value of the number 57 in decimal?
Steps
Concepts
Step 1: Identify the base of the number system. Here, the base is 8.
Step 2: Write down the number you want to convert, which is 57 in base 8.
Step 3: Break down the number 57 into its digits. The first digit is 5 and the second digit is 7.
Step 4: Determine the place value of each digit. The first digit (5) is in the '8s' place (8^1) and the second digit (7) is in the '1s' place (8^0).
Step 5: Calculate the value of the first digit: 5 * 8^1 = 5 * 8 = 40.
Step 6: Calculate the value of the second digit: 7 * 8^0 = 7 * 1 = 7.
Step 7: Add the values from Step 5 and Step 6 together: 40 + 7 = 47.
Step 8: The final result is that the base 8 number 57 is equal to 47 in decimal.
No concepts available.
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