501 in Octal

Decimal 501 in octal conversion provides the detailed information on what is the octal equivalent of (501)10, and the step-by-step work for how to convert the decimal (base-10) number 501 to its octal (base-8) equivalent.

(501)10 in octal is equal to:
(501)10 = (?)8

Perform successive MOD-8 operation for decimal 501, and mark the initial remainder as LSB and the final remainder as MSB as like the below.

MOD-8 of 501	501 / 8 = 62	Remainder is 5 → 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 501.
501₁₀ = 765₈

Hence,
501 in octal is 765

where,
501₁₀ is the given decimal number,
10 in 501₁₀ represents the base-10 or decimal number system,
765₈ is the octal equivalent of the decimal 501,
8 in 765₈ represents the base-8 or octal number system.

Important Notes: (501)10 in Octal
The below are some of the important notes to be remembered while converting the (base-10) decimal number 501 into a (base-8) octal equivalent.

1. The first remainder of MOD-8 of 501 is a Least Significant Bit (LSB).
2. The final remainder of MOD-8 of 501 is a Most Significant Bit (MSB).
3. The remainders of MOD-8 of 501 should be written from MSB to LSB to form the octal equivalent for the given decimal number (501)10.