323 in Octal

Decimal 323 in octal conversion provides the detailed information on what is the octal equivalent of (323)10, and the step-by-step work for how to convert the decimal (base-10) number 323 to its octal (base-8) equivalent.

(323)10 in octal is equal to:
(323)10 = (?)8

Perform successive MOD-8 operation for decimal 323, and mark the initial remainder as LSB and the final remainder as MSB as like the below.

MOD-8 of 323	323 / 8 = 40	Remainder is 3 → LSB
MOD-8 of 40	40 / 8 = 5	Remainder is 0
MOD-8 of 5	5 / 8 = 0	Remainder is 5 → MSB

Arrange the remainders from MSB to LSB forms the octal equivalent of 323.
323₁₀ = 503₈

Hence,
323 in octal is 503

where,
323₁₀ is the given decimal number,
10 in 323₁₀ represents the base-10 or decimal number system,
503₈ is the octal equivalent of the decimal 323,
8 in 503₈ represents the base-8 or octal number system.

Important Notes: (323)10 in Octal
The below are some of the important notes to be remembered while converting the (base-10) decimal number 323 into a (base-8) octal equivalent.

1. The first remainder of MOD-8 of 323 is a Least Significant Bit (LSB).
2. The final remainder of MOD-8 of 323 is a Most Significant Bit (MSB).
3. The remainders of MOD-8 of 323 should be written from MSB to LSB to form the octal equivalent for the given decimal number (323)10.