# 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:__

25_{10} = 31_{8}

Hence,

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

__where,__

25_{10} is the given decimal number,

10 in 25_{10} represents the base-10 or decimal number system,

31_{8} is the octal equivalent of the decimal 25,

8 in 31_{8} 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.

- The first remainder while performing 25 MOD-8 operation is a Least Significant Bit (LSB).
- The final remainder while performing 25 MOD-8 operation is a Most Significant Bit (MSB).
- 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.

## 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.