# Convert Decimal 27 to Octal

(27)10 = (?)8. Decimal 27 to octal conversion provides the detailed information on what is the octal equivalent of the decimal number (27)10 and the step-by-step work for how to convert base-10 number (27)10 into octal (base-8) equivalent manually.

(27)10 in octal is equal to:
2710 = 338

Hence,
the octal equivalent of decimal number (27)10 is (33)8

where,
2710 is the given decimal number,
10 in 2710 represents the base-10 or decimal number system,
338 is the octal equivalent of the decimal 27,
8 in 338 represents the base-8 or octal number system.

Important Notes: (27)10 in Octal
The below are some of the important notes to be remembered while converting the (base-10) decimal number 27 into a (base-8) octal equivalent.

1. The first remainder while performing 27 MOD-8 operation is a Least Significant Bit (LSB).
2. The final remainder while performing 27 MOD-8 operation is a Most Significant Bit (MSB).
3. The remainders of 27 MOD-8 operation should be written from MSB to LSB to form the octal equivalent for the given decimal number (27)10.

For decimal values other than 27, use this below tool:

## How-to: What is (27)10 in octal?

The below step-by-step solution shows how to convert the decimal number 27 to its equivalent octal number. Representing each remainders of 27 MOD-8 operation in octal equivalents and arranging them from MSB to LSB produces the octal equivalent of 27.

Solved Example:
What is the octal equivalent of 27?

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

Input values:
Decimal Number = (27)10

What to be found:
What is the octal equivalent of the decimal number (27)10?
(27)10 = (?)8

step 2 Perform successive 27 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 27
 27 MOD-8 27 / 8 = 3 Remainder is 3 → LSB 3 MOD-8 3 / 8 = 0 Remainder is 3 → MSB

step 3 Arrange or write the remainders of 27 MOD-8 operation from MSB to LSB produces the equivalent octal number for decimal 27:
= 33
(27)10 = (33)8

Therefore,
the octal equivalent of decimal 27 is (33)8. 