Calculators & Converters

    Convert (20)8 into Decimal Equivalent

    (20)8 = (?)10. Octal 20 to decimal decimal conversion provides the detailed information on what is the decimal equivalent of the octal 20 and the step-by-step work for how to convert (20)8 into corresponding (base-10) decimal equivalent manually.

    (20)8 in decimal is equal to:
    208 = 1610
    0o20 = 1610
    Hence,
    the decimal equivalent of octal number (20)8 is (16)10.

    where,
    208 is the given octal number,
    8 in 208 represents the base-8 or octal number system,
    16 is the decimal equivalent of octal number 20,
    10 in 1610 represents the base-10 or decimal number system.

    Important Notes: (20)8 in Decimal
    The below are some of the important notes to be remembered while converting the (base-8) octal number 20 into a (base-10) decimal equivalent.

    1. The right most digit in the given base-8 number 20 is a Least Significant Digit (LSD).
    2. The left most digit in the given base-8 number 20 is a Most Significant Digit (MSD).
    3. The LSD of 20 should be multiplied with 80.
    4. The MSD of 20 should be multiplied with 8(no. of digits - 1).
    5. For octal values other than 20, use this below tool:

    How-to: What is (20)8 in decimal?

    The below step-by-step solution shows how to convert (20)8 into decimal equivalent. To find the decimal equivalent of (20)8, multiply 80 with the right most digit, 81 with the left subsequent digit and so on until the left most digit of the given octal number 20. The sum of all individual products is the decimal equivalent of octal 20.
    Solved Example:
    Convert (20)8 into decimal equivalent.
    step 1 Observe the input parameters, values and what to be found.

    Input values:
    Octal Number = 208

    What to be found:
    What is the decimal equivalent of (20)8?

    step 2 Multiply 80 with the right most digit, 81 with the left subsequent digit and so on until the left most digit of the given octal number 20. Therefore, arrange the given decimal number 20 in the expression form as like the below:
    = (2 x 81) + (0 x 80)

    step 3 Resolve the powers of 8 in the above equation:
    = (2 x 8) + (0 x 1)

    step 3 Simplify the above equation further:
    = 16 + 0
    = 16
    (20)2 = (16)10

    Therefore,
    16 is the decimal equivalent of octal number (20)8

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