529 in Octal

Decimal 529 in octal conversion provides the detailed information on what is the octal equivalent of (529)10, and the step-by-step work for how to convert the decimal (base-10) number 529 to its octal (base-8) equivalent.

(529)10 in octal is equal to:
(529)10 = (?)8

Perform successive MOD-8 operation for decimal 529, and mark the initial remainder as LSB and the final remainder as MSB as like the below.

MOD-8 of 529	529 / 8 = 66	Remainder is 1 → LSB
MOD-8 of 66	66 / 8 = 8	Remainder is 2
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 529.
529₁₀ = 1021₈

Hence,
529 in octal is 1021

where,
529₁₀ is the given decimal number,
10 in 529₁₀ represents the base-10 or decimal number system,
1021₈ is the octal equivalent of the decimal 529,
8 in 1021₈ represents the base-8 or octal number system.

Important Notes: (529)10 in Octal
The below are some of the important notes to be remembered while converting the (base-10) decimal number 529 into a (base-8) octal equivalent.

1. The first remainder of MOD-8 of 529 is a Least Significant Bit (LSB).
2. The final remainder of MOD-8 of 529 is a Most Significant Bit (MSB).
3. The remainders of MOD-8 of 529 should be written from MSB to LSB to form the octal equivalent for the given decimal number (529)10.