Decimal 487 in octal conversion provides the detailed information on what is the octal equivalent of (487)10, and the step-by-step work for how to convert the decimal (base-10) number 487 to its octal (base-8) equivalent.

**(487)10 in octal is equal to:**

(487)10 = (?)8

Perform successive MOD-8 operation for decimal 487, and mark the initial remainder as LSB and the final remainder as MSB as like the below.

MOD-8 of 487 | 487 / 8 = 60 | Remainder is 7 → LSB |

MOD-8 of 60 | 60 / 8 = 7 | Remainder is 4 |

MOD-8 of 7 | 7 / 8 = 0 | Remainder is 7 → MSB |

Arrange the remainders from MSB to LSB forms the octal equivalent of 487.

487

Hence,

487

10 in 487

747

8 in 747

The below are some of the important notes to be remembered while converting the (base-10) decimal number 487 into a (base-8) octal equivalent.

- The first remainder of MOD-8 of 487 is a Least Significant Bit (LSB).
- The final remainder of MOD-8 of 487 is a Most Significant Bit (MSB).
- The remainders of MOD-8 of 487 should be written from MSB to LSB to form the octal equivalent for the given decimal number (487)10.