506 in Octal

Decimal 506 in octal conversion provides the detailed information on what is the octal equivalent of (506)10, and the step-by-step work for how to convert the decimal (base-10) number 506 to its octal (base-8) equivalent.

(506)10 in octal is equal to:
(506)10 = (?)8

Perform successive MOD-8 operation for decimal 506, and mark the initial remainder as LSB and the final remainder as MSB as like the below.

MOD-8 of 506	506 / 8 = 63	Remainder is 2 → 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 506.
506₁₀ = 772₈

Hence,
506 in octal is 772

where,
506₁₀ is the given decimal number,
10 in 506₁₀ represents the base-10 or decimal number system,
772₈ is the octal equivalent of the decimal 506,
8 in 772₈ represents the base-8 or octal number system.

Important Notes: (506)10 in Octal
The below are some of the important notes to be remembered while converting the (base-10) decimal number 506 into a (base-8) octal equivalent.

1. The first remainder of MOD-8 of 506 is a Least Significant Bit (LSB).
2. The final remainder of MOD-8 of 506 is a Most Significant Bit (MSB).
3. The remainders of MOD-8 of 506 should be written from MSB to LSB to form the octal equivalent for the given decimal number (506)10.