367 in Octal

Decimal 367 in octal conversion provides the detailed information on what is the octal equivalent of (367)10, and the step-by-step work for how to convert the decimal (base-10) number 367 to its octal (base-8) equivalent.

(367)10 in octal is equal to:
(367)10 = (?)8

Perform successive MOD-8 operation for decimal 367, and mark the initial remainder as LSB and the final remainder as MSB as like the below.

MOD-8 of 367	367 / 8 = 45	Remainder is 7 → LSB
MOD-8 of 45	45 / 8 = 5	Remainder is 5
MOD-8 of 5	5 / 8 = 0	Remainder is 5 → MSB

Arrange the remainders from MSB to LSB forms the octal equivalent of 367.
367₁₀ = 557₈

Hence,
367 in octal is 557

where,
367₁₀ is the given decimal number,
10 in 367₁₀ represents the base-10 or decimal number system,
557₈ is the octal equivalent of the decimal 367,
8 in 557₈ represents the base-8 or octal number system.

Important Notes: (367)10 in Octal
The below are some of the important notes to be remembered while converting the (base-10) decimal number 367 into a (base-8) octal equivalent.

1. The first remainder of MOD-8 of 367 is a Least Significant Bit (LSB).
2. The final remainder of MOD-8 of 367 is a Most Significant Bit (MSB).
3. The remainders of MOD-8 of 367 should be written from MSB to LSB to form the octal equivalent for the given decimal number (367)10.