378 in Octal

Decimal 378 in octal conversion provides the detailed information on what is the octal equivalent of (378)10, and the step-by-step work for how to convert the decimal (base-10) number 378 to its octal (base-8) equivalent.

(378)10 in octal is equal to:
(378)10 = (?)8

Perform successive MOD-8 operation for decimal 378, and mark the initial remainder as LSB and the final remainder as MSB as like the below.

MOD-8 of 378	378 / 8 = 47	Remainder is 2 → LSB
MOD-8 of 47	47 / 8 = 5	Remainder is 7
MOD-8 of 5	5 / 8 = 0	Remainder is 5 → MSB

Arrange the remainders from MSB to LSB forms the octal equivalent of 378.
378₁₀ = 572₈

Hence,
378 in octal is 572

where,
378₁₀ is the given decimal number,
10 in 378₁₀ represents the base-10 or decimal number system,
572₈ is the octal equivalent of the decimal 378,
8 in 572₈ represents the base-8 or octal number system.

Important Notes: (378)10 in Octal
The below are some of the important notes to be remembered while converting the (base-10) decimal number 378 into a (base-8) octal equivalent.

1. The first remainder of MOD-8 of 378 is a Least Significant Bit (LSB).
2. The final remainder of MOD-8 of 378 is a Most Significant Bit (MSB).
3. The remainders of MOD-8 of 378 should be written from MSB to LSB to form the octal equivalent for the given decimal number (378)10.