Decimal 24 in octal conversion provides the detailed information on what is the octal equivalent of (24)10, and the step-by-step work for how to convert the decimal (base-10) number 24 to its octal (base-8) equivalent.

**(24)10 in octal is equal to:**

(24)10 = (?)8

Perform successive MOD-8 operation for decimal 24, and mark the initial remainder as LSB and the final remainder as MSB as like the below.

MOD-8 of 24 | 24 / 8 = 3 | Remainder is 0 → LSB |

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

Arrange the remainders from MSB to LSB forms the octal equivalent of 24.

24

Hence,

24

10 in 24

30

8 in 30

The below are some of the important notes to be remembered while converting the (base-10) decimal number 24 into a (base-8) octal equivalent.

- The first remainder of MOD-8 of 24 is a Least Significant Bit (LSB).
- The final remainder of MOD-8 of 24 is a Most Significant Bit (MSB).
- The remainders of MOD-8 of 24 should be written from MSB to LSB to form the octal equivalent for the given decimal number (24)10.