259 in Octal

Decimal 259 in octal conversion provides the detailed information on what is the octal equivalent of (259)10, and the step-by-step work for how to convert the decimal (base-10) number 259 to its octal (base-8) equivalent.

(259)10 in octal is equal to:
(259)10 = (?)8

Perform successive MOD-8 operation for decimal 259, and mark the initial remainder as LSB and the final remainder as MSB as like the below.

MOD-8 of 259	259 / 8 = 32	Remainder is 3 → LSB
MOD-8 of 32	32 / 8 = 4	Remainder is 0
MOD-8 of 4	4 / 8 = 0	Remainder is 4 → MSB

Arrange the remainders from MSB to LSB forms the octal equivalent of 259.
259₁₀ = 403₈

Hence,
259 in octal is 403

where,
259₁₀ is the given decimal number,
10 in 259₁₀ represents the base-10 or decimal number system,
403₈ is the octal equivalent of the decimal 259,
8 in 403₈ represents the base-8 or octal number system.

Important Notes: (259)10 in Octal
The below are some of the important notes to be remembered while converting the (base-10) decimal number 259 into a (base-8) octal equivalent.

1. The first remainder of MOD-8 of 259 is a Least Significant Bit (LSB).
2. The final remainder of MOD-8 of 259 is a Most Significant Bit (MSB).
3. The remainders of MOD-8 of 259 should be written from MSB to LSB to form the octal equivalent for the given decimal number (259)10.