Calculators & Converters

    Convert (53)8 into Decimal Equivalent

    (53)8 = (?)10. Octal 53 to decimal decimal conversion provides the detailed information on what is the decimal equivalent of the octal 53 and the step-by-step work for how to convert (53)8 into corresponding (base-10) decimal equivalent manually.

    (53)8 in decimal is equal to:
    538 = 4310
    0o53 = 4310
    Hence,
    the decimal equivalent of octal number (53)8 is (43)10.

    where,
    538 is the given octal number,
    8 in 538 represents the base-8 or octal number system,
    43 is the decimal equivalent of octal number 53,
    10 in 4310 represents the base-10 or decimal number system.

    Important Notes: (53)8 in Decimal
    The below are some of the important notes to be remembered while converting the (base-8) octal number 53 into a (base-10) decimal equivalent.

    1. The right most digit in the given base-8 number 53 is a Least Significant Digit (LSD).
    2. The left most digit in the given base-8 number 53 is a Most Significant Digit (MSD).
    3. The LSD of 53 should be multiplied with 80.
    4. The MSD of 53 should be multiplied with 8(no. of digits - 1).
    5. For octal values other than 53, use this below tool:

    How-to: What is (53)8 in decimal?

    The below step-by-step solution shows how to convert (53)8 into decimal equivalent. To find the decimal equivalent of (53)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 53. The sum of all individual products is the decimal equivalent of octal 53.
    Solved Example:
    Convert (53)8 into decimal equivalent.
    step 1 Observe the input parameters, values and what to be found.

    Input values:
    Octal Number = 538

    What to be found:
    What is the decimal equivalent of (53)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 53. Therefore, arrange the given decimal number 53 in the expression form as like the below:
    = (5 x 81) + (3 x 80)

    step 3 Resolve the powers of 8 in the above equation:
    = (5 x 8) + (3 x 1)

    step 3 Simplify the above equation further:
    = 40 + 3
    = 43
    (53)2 = (43)10

    Therefore,
    43 is the decimal equivalent of octal number (53)8

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