Calculators & Converters

    Convert Decimal 15 to Octal

    (15)10 = (?)8. Decimal 15 to octal conversion provides the detailed information on what is the octal equivalent of the decimal number (15)10 and the step-by-step work for how to convert base-10 number (15)10 into octal (base-8) equivalent manually.

    (15)10 in octal is equal to:
    1510 = 178

    Hence,
    the octal equivalent of decimal number (15)10 is (17)8

    where,
    1510 is the given decimal number,
    10 in 1510 represents the base-10 or decimal number system,
    178 is the octal equivalent of the decimal 15,
    8 in 178 represents the base-8 or octal number system.

    Important Notes: (15)10 in Octal
    The below are some of the important notes to be remembered while converting the (base-10) decimal number 15 into a (base-8) octal equivalent.

    1. The first remainder while performing 15 MOD-8 operation is a Least Significant Bit (LSB).
    2. The final remainder while performing 15 MOD-8 operation is a Most Significant Bit (MSB).
    3. The remainders of 15 MOD-8 operation should be written from MSB to LSB to form the octal equivalent for the given decimal number (15)10.

    For decimal values other than 15, use this below tool:

    How-to: What is (15)10 in octal?

    The below step-by-step solution shows how to convert the decimal number 15 to its equivalent octal number. Representing each remainders of 15 MOD-8 operation in octal equivalents and arranging them from MSB to LSB produces the octal equivalent of 15.

    Solved Example:
    What is the octal equivalent of 15?

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

    Input values:
    Decimal Number = (15)10

    What to be found:
    What is the octal equivalent of the decimal number (15)10?
    (15)10 = (?)8

    step 2 Perform successive 15 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 15
    15 MOD-8     15 / 8 = 1  Remainder is 7 → LSB
    1 MOD-8     1 / 8 = 0  Remainder is 1 → MSB


    step 3 Arrange or write the remainders of 15 MOD-8 operation from MSB to LSB produces the equivalent octal number for decimal 15:
    = 17
    (15)10 = (17)8

    Therefore,
    the octal equivalent of decimal 15 is (17)8.
    getcalc.com Calculators