513 in Octal

Decimal 513 in octal conversion provides the detailed information on what is the octal equivalent of (513)10, and the step-by-step work for how to convert the decimal (base-10) number 513 to its octal (base-8) equivalent.

(513)10 in octal is equal to:
(513)10 = (?)8

Perform successive MOD-8 operation for decimal 513, and mark the initial remainder as LSB and the final remainder as MSB as like the below.

MOD-8 of 513	513 / 8 = 64	Remainder is 1 → LSB
MOD-8 of 64	64 / 8 = 8	Remainder is 0
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 513.
513₁₀ = 1001₈

Hence,
513 in octal is 1001

where,
513₁₀ is the given decimal number,
10 in 513₁₀ represents the base-10 or decimal number system,
1001₈ is the octal equivalent of the decimal 513,
8 in 1001₈ represents the base-8 or octal number system.

Important Notes: (513)10 in Octal
The below are some of the important notes to be remembered while converting the (base-10) decimal number 513 into a (base-8) octal equivalent.

1. The first remainder of MOD-8 of 513 is a Least Significant Bit (LSB).
2. The final remainder of MOD-8 of 513 is a Most Significant Bit (MSB).
3. The remainders of MOD-8 of 513 should be written from MSB to LSB to form the octal equivalent for the given decimal number (513)10.