269 in Octal

Decimal 269 in octal conversion provides the detailed information on what is the octal equivalent of (269)10, and the step-by-step work for how to convert the decimal (base-10) number 269 to its octal (base-8) equivalent.

(269)10 in octal is equal to:
(269)10 = (?)8

Perform successive MOD-8 operation for decimal 269, and mark the initial remainder as LSB and the final remainder as MSB as like the below.

MOD-8 of 269	269 / 8 = 33	Remainder is 5 → 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 269.
269₁₀ = 415₈

Hence,
269 in octal is 415

where,
269₁₀ is the given decimal number,
10 in 269₁₀ represents the base-10 or decimal number system,
415₈ is the octal equivalent of the decimal 269,
8 in 415₈ represents the base-8 or octal number system.

Important Notes: (269)10 in Octal
The below are some of the important notes to be remembered while converting the (base-10) decimal number 269 into a (base-8) octal equivalent.

1. The first remainder of MOD-8 of 269 is a Least Significant Bit (LSB).
2. The final remainder of MOD-8 of 269 is a Most Significant Bit (MSB).
3. The remainders of MOD-8 of 269 should be written from MSB to LSB to form the octal equivalent for the given decimal number (269)10.