321 in Octal

Decimal 321 in octal conversion provides the detailed information on what is the octal equivalent of (321)10, and the step-by-step work for how to convert the decimal (base-10) number 321 to its octal (base-8) equivalent.

(321)10 in octal is equal to:
(321)10 = (?)8

Perform successive MOD-8 operation for decimal 321, and mark the initial remainder as LSB and the final remainder as MSB as like the below.

MOD-8 of 321	321 / 8 = 40	Remainder is 1 → 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 321.
321₁₀ = 501₈

Hence,
321 in octal is 501

where,
321₁₀ is the given decimal number,
10 in 321₁₀ represents the base-10 or decimal number system,
501₈ is the octal equivalent of the decimal 321,
8 in 501₈ represents the base-8 or octal number system.

Important Notes: (321)10 in Octal
The below are some of the important notes to be remembered while converting the (base-10) decimal number 321 into a (base-8) octal equivalent.

1. The first remainder of MOD-8 of 321 is a Least Significant Bit (LSB).
2. The final remainder of MOD-8 of 321 is a Most Significant Bit (MSB).
3. The remainders of MOD-8 of 321 should be written from MSB to LSB to form the octal equivalent for the given decimal number (321)10.