257 in Octal

Decimal 257 in octal conversion provides the detailed information on what is the octal equivalent of (257)10, and the step-by-step work for how to convert the decimal (base-10) number 257 to its octal (base-8) equivalent.

(257)10 in octal is equal to:
(257)10 = (?)8

Perform successive MOD-8 operation for decimal 257, and mark the initial remainder as LSB and the final remainder as MSB as like the below.

MOD-8 of 257	257 / 8 = 32	Remainder is 1 → 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 257.
257₁₀ = 401₈

Hence,
257 in octal is 401

where,
257₁₀ is the given decimal number,
10 in 257₁₀ represents the base-10 or decimal number system,
401₈ is the octal equivalent of the decimal 257,
8 in 401₈ represents the base-8 or octal number system.

Important Notes: (257)10 in Octal
The below are some of the important notes to be remembered while converting the (base-10) decimal number 257 into a (base-8) octal equivalent.

1. The first remainder of MOD-8 of 257 is a Least Significant Bit (LSB).
2. The final remainder of MOD-8 of 257 is a Most Significant Bit (MSB).
3. The remainders of MOD-8 of 257 should be written from MSB to LSB to form the octal equivalent for the given decimal number (257)10.