400 in Octal

Decimal 400 in octal conversion provides the detailed information on what is the octal equivalent of (400)10, and the step-by-step work for how to convert the decimal (base-10) number 400 to its octal (base-8) equivalent.

(400)10 in octal is equal to:
(400)10 = (?)8

Perform successive MOD-8 operation for decimal 400, and mark the initial remainder as LSB and the final remainder as MSB as like the below.

MOD-8 of 400	400 / 8 = 50	Remainder is 0 → LSB
MOD-8 of 50	50 / 8 = 6	Remainder is 2
MOD-8 of 6	6 / 8 = 0	Remainder is 6 → MSB

Arrange the remainders from MSB to LSB forms the octal equivalent of 400.
400₁₀ = 620₈

Hence,
400 in octal is 620

where,
400₁₀ is the given decimal number,
10 in 400₁₀ represents the base-10 or decimal number system,
620₈ is the octal equivalent of the decimal 400,
8 in 620₈ represents the base-8 or octal number system.

Important Notes: (400)10 in Octal
The below are some of the important notes to be remembered while converting the (base-10) decimal number 400 into a (base-8) octal equivalent.

1. The first remainder of MOD-8 of 400 is a Least Significant Bit (LSB).
2. The final remainder of MOD-8 of 400 is a Most Significant Bit (MSB).
3. The remainders of MOD-8 of 400 should be written from MSB to LSB to form the octal equivalent for the given decimal number (400)10.