493 in Octal

Decimal 493 in octal conversion provides the detailed information on what is the octal equivalent of (493)10, and the step-by-step work for how to convert the decimal (base-10) number 493 to its octal (base-8) equivalent.

(493)10 in octal is equal to:
(493)10 = (?)8

Perform successive MOD-8 operation for decimal 493, and mark the initial remainder as LSB and the final remainder as MSB as like the below.

MOD-8 of 493	493 / 8 = 61	Remainder is 5 → LSB
MOD-8 of 61	61 / 8 = 7	Remainder is 5
MOD-8 of 7	7 / 8 = 0	Remainder is 7 → MSB

Arrange the remainders from MSB to LSB forms the octal equivalent of 493.
493₁₀ = 755₈

Hence,
493 in octal is 755

where,
493₁₀ is the given decimal number,
10 in 493₁₀ represents the base-10 or decimal number system,
755₈ is the octal equivalent of the decimal 493,
8 in 755₈ represents the base-8 or octal number system.

Important Notes: (493)10 in Octal
The below are some of the important notes to be remembered while converting the (base-10) decimal number 493 into a (base-8) octal equivalent.

1. The first remainder of MOD-8 of 493 is a Least Significant Bit (LSB).
2. The final remainder of MOD-8 of 493 is a Most Significant Bit (MSB).
3. The remainders of MOD-8 of 493 should be written from MSB to LSB to form the octal equivalent for the given decimal number (493)10.