384 in Octal

Decimal 384 in octal conversion provides the detailed information on what is the octal equivalent of (384)10, and the step-by-step work for how to convert the decimal (base-10) number 384 to its octal (base-8) equivalent.

(384)10 in octal is equal to:
(384)10 = (?)8

Perform successive MOD-8 operation for decimal 384, and mark the initial remainder as LSB and the final remainder as MSB as like the below.

MOD-8 of 384	384 / 8 = 48	Remainder is 0 → 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 384.
384₁₀ = 600₈

Hence,
384 in octal is 600

where,
384₁₀ is the given decimal number,
10 in 384₁₀ represents the base-10 or decimal number system,
600₈ is the octal equivalent of the decimal 384,
8 in 600₈ represents the base-8 or octal number system.

Important Notes: (384)10 in Octal
The below are some of the important notes to be remembered while converting the (base-10) decimal number 384 into a (base-8) octal equivalent.

1. The first remainder of MOD-8 of 384 is a Least Significant Bit (LSB).
2. The final remainder of MOD-8 of 384 is a Most Significant Bit (MSB).
3. The remainders of MOD-8 of 384 should be written from MSB to LSB to form the octal equivalent for the given decimal number (384)10.