357 in Octal

Decimal 357 in octal conversion provides the detailed information on what is the octal equivalent of (357)10, and the step-by-step work for how to convert the decimal (base-10) number 357 to its octal (base-8) equivalent.

(357)10 in octal is equal to:
(357)10 = (?)8

Perform successive MOD-8 operation for decimal 357, and mark the initial remainder as LSB and the final remainder as MSB as like the below.

MOD-8 of 357	357 / 8 = 44	Remainder is 5 → LSB
MOD-8 of 44	44 / 8 = 5	Remainder is 4
MOD-8 of 5	5 / 8 = 0	Remainder is 5 → MSB

Arrange the remainders from MSB to LSB forms the octal equivalent of 357.
357₁₀ = 545₈

Hence,
357 in octal is 545

where,
357₁₀ is the given decimal number,
10 in 357₁₀ represents the base-10 or decimal number system,
545₈ is the octal equivalent of the decimal 357,
8 in 545₈ represents the base-8 or octal number system.

Important Notes: (357)10 in Octal
The below are some of the important notes to be remembered while converting the (base-10) decimal number 357 into a (base-8) octal equivalent.

1. The first remainder of MOD-8 of 357 is a Least Significant Bit (LSB).
2. The final remainder of MOD-8 of 357 is a Most Significant Bit (MSB).
3. The remainders of MOD-8 of 357 should be written from MSB to LSB to form the octal equivalent for the given decimal number (357)10.