Convert Decimal 36 to Octal

(36)10 = (?)8. Decimal 36 to octal conversion provides the detailed information on what is the octal equivalent of the decimal number (36)10 and the step-by-step work for how to convert base-10 number (36)10 into octal (base-8) equivalent manually.

(36)10 in octal is equal to:
36₁₀ = 44₈

Hence,
the octal equivalent of decimal number (36)10 is (44)8

where,
36₁₀ is the given decimal number,
10 in 36₁₀ represents the base-10 or decimal number system,
44₈ is the octal equivalent of the decimal 36,
8 in 44₈ represents the base-8 or octal number system.

Important Notes: (36)10 in Octal
The below are some of the important notes to be remembered while converting the (base-10) decimal number 36 into a (base-8) octal equivalent.

The first remainder while performing 36 MOD-8 operation is a Least Significant Bit (LSB).
The final remainder while performing 36 MOD-8 operation is a Most Significant Bit (MSB).
The remainders of 36 MOD-8 operation should be written from MSB to LSB to form the octal equivalent for the given decimal number (36)10.

For decimal values other than 36, use this below tool:

How-to: What is (36)10 in octal?

The below step-by-step solution shows how to convert the decimal number 36 to its equivalent octal number. Representing each remainders of 36 MOD-8 operation in octal equivalents and arranging them from MSB to LSB produces the octal equivalent of 36.

Solved Example:
What is the octal equivalent of 36?

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

Input values:
Decimal Number = (36)₁₀

What to be found:
What is the octal equivalent of the decimal number (36)10?
(36)10 = (?)8

step 2 Perform successive 36 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 36

36 MOD-8	36 / 8 = 4	Remainder is 4 → LSB
4 MOD-8	4 / 8 = 0	Remainder is 4 → MSB

step 3 Arrange or write the remainders of 36 MOD-8 operation from MSB to LSB produces the equivalent octal number for decimal 36:
= 44
(36)₁₀ = (44)₈

Therefore,
the octal equivalent of decimal 36 is (44)8.