465 in Octal

Decimal 465 in octal conversion provides the detailed information on what is the octal equivalent of (465)10, and the step-by-step work for how to convert the decimal (base-10) number 465 to its octal (base-8) equivalent.

(465)10 in octal is equal to:
(465)10 = (?)8

Perform successive MOD-8 operation for decimal 465, and mark the initial remainder as LSB and the final remainder as MSB as like the below.

MOD-8 of 465	465 / 8 = 58	Remainder is 1 → LSB
MOD-8 of 58	58 / 8 = 7	Remainder is 2
MOD-8 of 7	7 / 8 = 0	Remainder is 7 → MSB

Arrange the remainders from MSB to LSB forms the octal equivalent of 465.
465₁₀ = 721₈

Hence,
465 in octal is 721

where,
465₁₀ is the given decimal number,
10 in 465₁₀ represents the base-10 or decimal number system,
721₈ is the octal equivalent of the decimal 465,
8 in 721₈ represents the base-8 or octal number system.

Important Notes: (465)10 in Octal
The below are some of the important notes to be remembered while converting the (base-10) decimal number 465 into a (base-8) octal equivalent.

1. The first remainder of MOD-8 of 465 is a Least Significant Bit (LSB).
2. The final remainder of MOD-8 of 465 is a Most Significant Bit (MSB).
3. The remainders of MOD-8 of 465 should be written from MSB to LSB to form the octal equivalent for the given decimal number (465)10.