523 in Octal

Decimal 523 in octal conversion provides the detailed information on what is the octal equivalent of (523)10, and the step-by-step work for how to convert the decimal (base-10) number 523 to its octal (base-8) equivalent.

(523)10 in octal is equal to:
(523)10 = (?)8

Perform successive MOD-8 operation for decimal 523, and mark the initial remainder as LSB and the final remainder as MSB as like the below.

MOD-8 of 523	523 / 8 = 65	Remainder is 3 → LSB
MOD-8 of 65	65 / 8 = 8	Remainder is 1
MOD-8 of 8	8 / 8 = 1	Remainder is 0
MOD-8 of 1	1 / 8 = 0	Remainder is 1 → MSB

Arrange the remainders from MSB to LSB forms the octal equivalent of 523.
523₁₀ = 1013₈

Hence,
523 in octal is 1013

where,
523₁₀ is the given decimal number,
10 in 523₁₀ represents the base-10 or decimal number system,
1013₈ is the octal equivalent of the decimal 523,
8 in 1013₈ represents the base-8 or octal number system.

Important Notes: (523)10 in Octal
The below are some of the important notes to be remembered while converting the (base-10) decimal number 523 into a (base-8) octal equivalent.

1. The first remainder of MOD-8 of 523 is a Least Significant Bit (LSB).
2. The final remainder of MOD-8 of 523 is a Most Significant Bit (MSB).
3. The remainders of MOD-8 of 523 should be written from MSB to LSB to form the octal equivalent for the given decimal number (523)10.