508 in Octal

Decimal 508 in octal conversion provides the detailed information on what is the octal equivalent of (508)10, and the step-by-step work for how to convert the decimal (base-10) number 508 to its octal (base-8) equivalent.

(508)10 in octal is equal to:
(508)10 = (?)8

Perform successive MOD-8 operation for decimal 508, and mark the initial remainder as LSB and the final remainder as MSB as like the below.

MOD-8 of 508	508 / 8 = 63	Remainder is 4 → LSB
MOD-8 of 63	63 / 8 = 7	Remainder is 7
MOD-8 of 7	7 / 8 = 0	Remainder is 7 → MSB

Arrange the remainders from MSB to LSB forms the octal equivalent of 508.
508₁₀ = 774₈

Hence,
508 in octal is 774

where,
508₁₀ is the given decimal number,
10 in 508₁₀ represents the base-10 or decimal number system,
774₈ is the octal equivalent of the decimal 508,
8 in 774₈ represents the base-8 or octal number system.

Important Notes: (508)10 in Octal
The below are some of the important notes to be remembered while converting the (base-10) decimal number 508 into a (base-8) octal equivalent.

1. The first remainder of MOD-8 of 508 is a Least Significant Bit (LSB).
2. The final remainder of MOD-8 of 508 is a Most Significant Bit (MSB).
3. The remainders of MOD-8 of 508 should be written from MSB to LSB to form the octal equivalent for the given decimal number (508)10.