500 in Octal

Decimal 500 in octal conversion provides the detailed information on what is the octal equivalent of (500)10, and the step-by-step work for how to convert the decimal (base-10) number 500 to its octal (base-8) equivalent.

(500)10 in octal is equal to:
(500)10 = (?)8

Perform successive MOD-8 operation for decimal 500, and mark the initial remainder as LSB and the final remainder as MSB as like the below.

MOD-8 of 500	500 / 8 = 62	Remainder is 4 → LSB
MOD-8 of 62	62 / 8 = 7	Remainder is 6
MOD-8 of 7	7 / 8 = 0	Remainder is 7 → MSB

Arrange the remainders from MSB to LSB forms the octal equivalent of 500.
500₁₀ = 764₈

Hence,
500 in octal is 764

where,
500₁₀ is the given decimal number,
10 in 500₁₀ represents the base-10 or decimal number system,
764₈ is the octal equivalent of the decimal 500,
8 in 764₈ represents the base-8 or octal number system.

Important Notes: (500)10 in Octal
The below are some of the important notes to be remembered while converting the (base-10) decimal number 500 into a (base-8) octal equivalent.

1. The first remainder of MOD-8 of 500 is a Least Significant Bit (LSB).
2. The final remainder of MOD-8 of 500 is a Most Significant Bit (MSB).
3. The remainders of MOD-8 of 500 should be written from MSB to LSB to form the octal equivalent for the given decimal number (500)10.