Calculators & Converters

    Convert Decimal 37 to Octal

    (37)10 = (?)8. Decimal 37 to octal conversion provides the detailed information on what is the octal equivalent of the decimal number (37)10 and the step-by-step work for how to convert base-10 number (37)10 into octal (base-8) equivalent manually.

    (37)10 in octal is equal to:
    3710 = 458

    Hence,
    the octal equivalent of decimal number (37)10 is (45)8

    where,
    3710 is the given decimal number,
    10 in 3710 represents the base-10 or decimal number system,
    458 is the octal equivalent of the decimal 37,
    8 in 458 represents the base-8 or octal number system.

    Important Notes: (37)10 in Octal
    The below are some of the important notes to be remembered while converting the (base-10) decimal number 37 into a (base-8) octal equivalent.

    1. The first remainder while performing 37 MOD-8 operation is a Least Significant Bit (LSB).
    2. The final remainder while performing 37 MOD-8 operation is a Most Significant Bit (MSB).
    3. The remainders of 37 MOD-8 operation should be written from MSB to LSB to form the octal equivalent for the given decimal number (37)10.

    For decimal values other than 37, use this below tool:

    How-to: What is (37)10 in octal?

    The below step-by-step solution shows how to convert the decimal number 37 to its equivalent octal number. Representing each remainders of 37 MOD-8 operation in octal equivalents and arranging them from MSB to LSB produces the octal equivalent of 37.

    Solved Example:
    What is the octal equivalent of 37?

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

    Input values:
    Decimal Number = (37)10

    What to be found:
    What is the octal equivalent of the decimal number (37)10?
    (37)10 = (?)8

    step 2 Perform successive 37 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 37
    37 MOD-8     37 / 8 = 4  Remainder is 5 → LSB
    4 MOD-8     4 / 8 = 0  Remainder is 4 → MSB


    step 3 Arrange or write the remainders of 37 MOD-8 operation from MSB to LSB produces the equivalent octal number for decimal 37:
    = 45
    (37)10 = (45)8

    Therefore,
    the octal equivalent of decimal 37 is (45)8.
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