284 in Octal

Decimal 284 in octal conversion provides the detailed information on what is the octal equivalent of (284)10, and the step-by-step work for how to convert the decimal (base-10) number 284 to its octal (base-8) equivalent.

(284)10 in octal is equal to:
(284)10 = (?)8

Perform successive MOD-8 operation for decimal 284, and mark the initial remainder as LSB and the final remainder as MSB as like the below.

MOD-8 of 284	284 / 8 = 35	Remainder is 4 → LSB
MOD-8 of 35	35 / 8 = 4	Remainder is 3
MOD-8 of 4	4 / 8 = 0	Remainder is 4 → MSB

Arrange the remainders from MSB to LSB forms the octal equivalent of 284.
284₁₀ = 434₈

Hence,
284 in octal is 434

where,
284₁₀ is the given decimal number,
10 in 284₁₀ represents the base-10 or decimal number system,
434₈ is the octal equivalent of the decimal 284,
8 in 434₈ represents the base-8 or octal number system.

Important Notes: (284)10 in Octal
The below are some of the important notes to be remembered while converting the (base-10) decimal number 284 into a (base-8) octal equivalent.

1. The first remainder of MOD-8 of 284 is a Least Significant Bit (LSB).
2. The final remainder of MOD-8 of 284 is a Most Significant Bit (MSB).
3. The remainders of MOD-8 of 284 should be written from MSB to LSB to form the octal equivalent for the given decimal number (284)10.