Calculators & Converters

    Convert Decimal 50 to Octal

    (50)10 = (?)8. Decimal 50 to octal conversion provides the detailed information on what is the octal equivalent of the decimal number (50)10 and the step-by-step work for how to convert base-10 number (50)10 into octal (base-8) equivalent manually.

    (50)10 in octal is equal to:
    5010 = 628

    Hence,
    the octal equivalent of decimal number (50)10 is (62)8

    where,
    5010 is the given decimal number,
    10 in 5010 represents the base-10 or decimal number system,
    628 is the octal equivalent of the decimal 50,
    8 in 628 represents the base-8 or octal number system.

    Important Notes: (50)10 in Octal
    The below are some of the important notes to be remembered while converting the (base-10) decimal number 50 into a (base-8) octal equivalent.

    1. The first remainder while performing 50 MOD-8 operation is a Least Significant Bit (LSB).
    2. The final remainder while performing 50 MOD-8 operation is a Most Significant Bit (MSB).
    3. The remainders of 50 MOD-8 operation should be written from MSB to LSB to form the octal equivalent for the given decimal number (50)10.

    For decimal values other than 50, use this below tool:

    How-to: What is (50)10 in octal?

    The below step-by-step solution shows how to convert the decimal number 50 to its equivalent octal number. Representing each remainders of 50 MOD-8 operation in octal equivalents and arranging them from MSB to LSB produces the octal equivalent of 50.

    Solved Example:
    What is the octal equivalent of 50?

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

    Input values:
    Decimal Number = (50)10

    What to be found:
    What is the octal equivalent of the decimal number (50)10?
    (50)10 = (?)8

    step 2 Perform successive 50 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 50
    50 MOD-8     50 / 8 = 6  Remainder is 2 → LSB
    6 MOD-8     6 / 8 = 0  Remainder is 6 → MSB


    step 3 Arrange or write the remainders of 50 MOD-8 operation from MSB to LSB produces the equivalent octal number for decimal 50:
    = 62
    (50)10 = (62)8

    Therefore,
    the octal equivalent of decimal 50 is (62)8.
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