# Convert Decimal 26 to Octal

(26)10 = (?)8. Decimal 26 to octal conversion provides the detailed information on what is the octal equivalent of the decimal number (26)10 and the step-by-step work for how to convert base-10 number (26)10 into octal (base-8) equivalent manually.

(26)10 in octal is equal to:
2610 = 328

Hence,
the octal equivalent of decimal number (26)10 is (32)8

where,
2610 is the given decimal number,
10 in 2610 represents the base-10 or decimal number system,
328 is the octal equivalent of the decimal 26,
8 in 328 represents the base-8 or octal number system.

Important Notes: (26)10 in Octal
The below are some of the important notes to be remembered while converting the (base-10) decimal number 26 into a (base-8) octal equivalent.

1. The first remainder while performing 26 MOD-8 operation is a Least Significant Bit (LSB).
2. The final remainder while performing 26 MOD-8 operation is a Most Significant Bit (MSB).
3. The remainders of 26 MOD-8 operation should be written from MSB to LSB to form the octal equivalent for the given decimal number (26)10.

For decimal values other than 26, use this below tool:

## How-to: What is (26)10 in octal?

The below step-by-step solution shows how to convert the decimal number 26 to its equivalent octal number. Representing each remainders of 26 MOD-8 operation in octal equivalents and arranging them from MSB to LSB produces the octal equivalent of 26.

Solved Example:
What is the octal equivalent of 26?

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

Input values:
Decimal Number = (26)10

What to be found:
What is the octal equivalent of the decimal number (26)10?
(26)10 = (?)8

step 2 Perform successive 26 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 26
 26 MOD-8 26 / 8 = 3 Remainder is 2 → LSB 3 MOD-8 3 / 8 = 0 Remainder is 3 → MSB

step 3 Arrange or write the remainders of 26 MOD-8 operation from MSB to LSB produces the equivalent octal number for decimal 26:
= 32
(26)10 = (32)8

Therefore,
the octal equivalent of decimal 26 is (32)8. 