524 in Octal

Decimal 524 in octal conversion provides the detailed information on what is the octal equivalent of (524)10, and the step-by-step work for how to convert the decimal (base-10) number 524 to its octal (base-8) equivalent.

(524)10 in octal is equal to:
(524)10 = (?)8

Perform successive MOD-8 operation for decimal 524, and mark the initial remainder as LSB and the final remainder as MSB as like the below.

MOD-8 of 524	524 / 8 = 65	Remainder is 4 → 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 524.
524₁₀ = 1014₈

Hence,
524 in octal is 1014

where,
524₁₀ is the given decimal number,
10 in 524₁₀ represents the base-10 or decimal number system,
1014₈ is the octal equivalent of the decimal 524,
8 in 1014₈ represents the base-8 or octal number system.

Important Notes: (524)10 in Octal
The below are some of the important notes to be remembered while converting the (base-10) decimal number 524 into a (base-8) octal equivalent.

1. The first remainder of MOD-8 of 524 is a Least Significant Bit (LSB).
2. The final remainder of MOD-8 of 524 is a Most Significant Bit (MSB).
3. The remainders of MOD-8 of 524 should be written from MSB to LSB to form the octal equivalent for the given decimal number (524)10.