487 in Octal

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.
487₁₀ = 747₈

Hence,
487 in octal is 747

where,
487₁₀ is the given decimal number,
10 in 487₁₀ represents the base-10 or decimal number system,
747₈ is the octal equivalent of the decimal 487,
8 in 747₈ represents the base-8 or octal number system.

Important Notes: (487)10 in Octal
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.

1. The first remainder of MOD-8 of 487 is a Least Significant Bit (LSB).
2. The final remainder of MOD-8 of 487 is a Most Significant Bit (MSB).
3. 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.