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

**(25)10 in octal is equal to:**

(25)10 = (?)8

Perform successive MOD-8 operation for decimal 25, and mark the initial remainder as LSB and the final remainder as MSB as like the below.

MOD-8 of 25 | 25 / 8 = 3 | Remainder is 1 → LSB |

MOD-8 of 3 | 3 / 8 = 0 | Remainder is 3 → MSB |

Arrange the remainders from MSB to LSB forms the octal equivalent of 25.

25

Hence,

25

10 in 25

31

8 in 31

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