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?
  1. 47
  2. 45
  3. 49
  4. 50

Questions & Step-by-Step Solutions

In a base 8 number system, what is the value of the number 57 in decimal?
  • 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.
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