264 in Octal

Decimal 264 in octal conversion provides the detailed information on what is the octal equivalent of (264)10, and the step-by-step work for how to convert the decimal (base-10) number 264 to its octal (base-8) equivalent.

(264)10 in octal is equal to:
(264)10 = (?)8

Perform successive MOD-8 operation for decimal 264, and mark the initial remainder as LSB and the final remainder as MSB as like the below.

MOD-8 of 264	264 / 8 = 33	Remainder is 0 → LSB
MOD-8 of 33	33 / 8 = 4	Remainder is 1
MOD-8 of 4	4 / 8 = 0	Remainder is 4 → MSB

Arrange the remainders from MSB to LSB forms the octal equivalent of 264.
264₁₀ = 410₈

Hence,
264 in octal is 410

where,
264₁₀ is the given decimal number,
10 in 264₁₀ represents the base-10 or decimal number system,
410₈ is the octal equivalent of the decimal 264,
8 in 410₈ represents the base-8 or octal number system.

Important Notes: (264)10 in Octal
The below are some of the important notes to be remembered while converting the (base-10) decimal number 264 into a (base-8) octal equivalent.

1. The first remainder of MOD-8 of 264 is a Least Significant Bit (LSB).
2. The final remainder of MOD-8 of 264 is a Most Significant Bit (MSB).
3. The remainders of MOD-8 of 264 should be written from MSB to LSB to form the octal equivalent for the given decimal number (264)10.