Convert Decimal 55 to Octal

(55)10 = (?)8. Decimal 55 to octal conversion provides the detailed information on what is the octal equivalent of the decimal number (55)10 and the step-by-step work for how to convert base-10 number (55)10 into octal (base-8) equivalent manually.

(55)10 in octal is equal to:
55₁₀ = 67₈

Hence,
the octal equivalent of decimal number (55)10 is (67)8

where,
55₁₀ is the given decimal number,
10 in 55₁₀ represents the base-10 or decimal number system,
67₈ is the octal equivalent of the decimal 55,
8 in 67₈ represents the base-8 or octal number system.

Important Notes: (55)10 in Octal
The below are some of the important notes to be remembered while converting the (base-10) decimal number 55 into a (base-8) octal equivalent.

The first remainder while performing 55 MOD-8 operation is a Least Significant Bit (LSB).
The final remainder while performing 55 MOD-8 operation is a Most Significant Bit (MSB).
The remainders of 55 MOD-8 operation should be written from MSB to LSB to form the octal equivalent for the given decimal number (55)10.

For decimal values other than 55, use this below tool:

How-to: What is (55)10 in octal?

The below step-by-step solution shows how to convert the decimal number 55 to its equivalent octal number. Representing each remainders of 55 MOD-8 operation in octal equivalents and arranging them from MSB to LSB produces the octal equivalent of 55.

Solved Example:
What is the octal equivalent of 55?

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

Input values:
Decimal Number = (55)₁₀

What to be found:
What is the octal equivalent of the decimal number (55)10?
(55)10 = (?)8

step 2 Perform successive 55 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 55

55 MOD-8	55 / 8 = 6	Remainder is 7 → LSB
6 MOD-8	6 / 8 = 0	Remainder is 6 → MSB

step 3 Arrange or write the remainders of 55 MOD-8 operation from MSB to LSB produces the equivalent octal number for decimal 55:
= 67
(55)₁₀ = (67)₈

Therefore,
the octal equivalent of decimal 55 is (67)8.