387 in Octal

Decimal 387 in octal conversion provides the detailed information on what is the octal equivalent of (387)10, and the step-by-step work for how to convert the decimal (base-10) number 387 to its octal (base-8) equivalent.

(387)10 in octal is equal to:
(387)10 = (?)8

Perform successive MOD-8 operation for decimal 387, and mark the initial remainder as LSB and the final remainder as MSB as like the below.

MOD-8 of 387	387 / 8 = 48	Remainder is 3 → LSB
MOD-8 of 48	48 / 8 = 6	Remainder is 0
MOD-8 of 6	6 / 8 = 0	Remainder is 6 → MSB

Arrange the remainders from MSB to LSB forms the octal equivalent of 387.
387₁₀ = 603₈

Hence,
387 in octal is 603

where,
387₁₀ is the given decimal number,
10 in 387₁₀ represents the base-10 or decimal number system,
603₈ is the octal equivalent of the decimal 387,
8 in 603₈ represents the base-8 or octal number system.

Important Notes: (387)10 in Octal
The below are some of the important notes to be remembered while converting the (base-10) decimal number 387 into a (base-8) octal equivalent.

1. The first remainder of MOD-8 of 387 is a Least Significant Bit (LSB).
2. The final remainder of MOD-8 of 387 is a Most Significant Bit (MSB).
3. The remainders of MOD-8 of 387 should be written from MSB to LSB to form the octal equivalent for the given decimal number (387)10.