Calculators & Converters

    Convert Decimal 27 to Octal

    (27)10 = (?)8. Decimal 27 to octal conversion provides the detailed information on what is the octal equivalent of the decimal number (27)10 and the step-by-step work for how to convert base-10 number (27)10 into octal (base-8) equivalent manually.

    (27)10 in octal is equal to:
    2710 = 338

    Hence,
    the octal equivalent of decimal number (27)10 is (33)8

    where,
    2710 is the given decimal number,
    10 in 2710 represents the base-10 or decimal number system,
    338 is the octal equivalent of the decimal 27,
    8 in 338 represents the base-8 or octal number system.

    Important Notes: (27)10 in Octal
    The below are some of the important notes to be remembered while converting the (base-10) decimal number 27 into a (base-8) octal equivalent.

    1. The first remainder while performing 27 MOD-8 operation is a Least Significant Bit (LSB).
    2. The final remainder while performing 27 MOD-8 operation is a Most Significant Bit (MSB).
    3. The remainders of 27 MOD-8 operation should be written from MSB to LSB to form the octal equivalent for the given decimal number (27)10.

    For decimal values other than 27, use this below tool:

    How-to: What is (27)10 in octal?

    The below step-by-step solution shows how to convert the decimal number 27 to its equivalent octal number. Representing each remainders of 27 MOD-8 operation in octal equivalents and arranging them from MSB to LSB produces the octal equivalent of 27.

    Solved Example:
    What is the octal equivalent of 27?

    step 1 Observe the input parameters, values and what to be found:

    Input values:
    Decimal Number = (27)10

    What to be found:
    What is the octal equivalent of the decimal number (27)10?
    (27)10 = (?)8

    step 2 Perform successive 27 MOD-8 operation until the quotient becomes 0, and mark the first remainder as LSB and the final remainder as MSB as like the below:

    Successive MOD-8 Operation for 27
    27 MOD-8     27 / 8 = 3  Remainder is 3 → LSB
    3 MOD-8     3 / 8 = 0  Remainder is 3 → MSB


    step 3 Arrange or write the remainders of 27 MOD-8 operation from MSB to LSB produces the equivalent octal number for decimal 27:
    = 33
    (27)10 = (33)8

    Therefore,
    the octal equivalent of decimal 27 is (33)8.
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