# Convert Decimal 25 to Octal

(25)10 = (?)8. Decimal 25 to octal conversion provides the detailed information on what is the octal equivalent of the decimal number (25)10 and the step-by-step work for how to convert base-10 number (25)10 into octal (base-8) equivalent manually.

(25)10 in octal is equal to:
2510 = 318

Hence,
the octal equivalent of decimal number (25)10 is (31)8

where,
2510 is the given decimal number,
10 in 2510 represents the base-10 or decimal number system,
318 is the octal equivalent of the decimal 25,
8 in 318 represents the base-8 or octal number system.

Important Notes: (25)10 in Octal
The below are some of the important notes to be remembered while converting the (base-10) decimal number 25 into a (base-8) octal equivalent.

1. The first remainder while performing 25 MOD-8 operation is a Least Significant Bit (LSB).
2. The final remainder while performing 25 MOD-8 operation is a Most Significant Bit (MSB).
3. The remainders of 25 MOD-8 operation should be written from MSB to LSB to form the octal equivalent for the given decimal number (25)10.

For decimal values other than 25, use this below tool:

## How-to: What is (25)10 in octal?

The below step-by-step solution shows how to convert the decimal number 25 to its equivalent octal number. Representing each remainders of 25 MOD-8 operation in octal equivalents and arranging them from MSB to LSB produces the octal equivalent of 25.

Solved Example:
What is the octal equivalent of 25?

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

Input values:
Decimal Number = (25)10

What to be found:
What is the octal equivalent of the decimal number (25)10?
(25)10 = (?)8

step 2 Perform successive 25 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 25
 25 MOD-8 25 / 8 = 3 Remainder is 1 → LSB 3 MOD-8 3 / 8 = 0 Remainder is 3 → MSB

step 3 Arrange or write the remainders of 25 MOD-8 operation from MSB to LSB produces the equivalent octal number for decimal 25:
= 31
(25)10 = (31)8

Therefore,
the octal equivalent of decimal 25 is (31)8. 