401 in Octal

Decimal 401 in octal conversion provides the detailed information on what is the octal equivalent of (401)10, and the step-by-step work for how to convert the decimal (base-10) number 401 to its octal (base-8) equivalent.

(401)10 in octal is equal to:
(401)10 = (?)8

Perform successive MOD-8 operation for decimal 401, and mark the initial remainder as LSB and the final remainder as MSB as like the below.

MOD-8 of 401	401 / 8 = 50	Remainder is 1 → 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 401.
401₁₀ = 621₈

Hence,
401 in octal is 621

where,
401₁₀ is the given decimal number,
10 in 401₁₀ represents the base-10 or decimal number system,
621₈ is the octal equivalent of the decimal 401,
8 in 621₈ represents the base-8 or octal number system.

Important Notes: (401)10 in Octal
The below are some of the important notes to be remembered while converting the (base-10) decimal number 401 into a (base-8) octal equivalent.

1. The first remainder of MOD-8 of 401 is a Least Significant Bit (LSB).
2. The final remainder of MOD-8 of 401 is a Most Significant Bit (MSB).
3. The remainders of MOD-8 of 401 should be written from MSB to LSB to form the octal equivalent for the given decimal number (401)10.