13 in Octal

Decimal 13 in octal conversion provides the detailed information on what is the octal equivalent of (13)10, and the step-by-step work for how to convert the decimal (base-10) number 13 to its octal (base-8) equivalent.

(13)10 in octal is equal to:
(13)10 = (?)8

Perform successive MOD-8 operation for decimal 13, and mark the initial remainder as LSB and the final remainder as MSB as like the below.

MOD-8 of 13	13 / 8 = 1	Remainder is 5 → LSB
MOD-8 of 1	1 / 8 = 0	Remainder is 1 → MSB

Arrange the remainders from MSB to LSB forms the octal equivalent of 13.
13₁₀ = 15₈

Hence,
13 in octal is 15

where,
13₁₀ is the given decimal number,
10 in 13₁₀ represents the base-10 or decimal number system,
15₈ is the octal equivalent of the decimal 13,
8 in 15₈ represents the base-8 or octal number system.

Important Notes: (13)10 in Octal
The below are some of the important notes to be remembered while converting the (base-10) decimal number 13 into a (base-8) octal equivalent.

1. The first remainder of MOD-8 of 13 is a Least Significant Bit (LSB).
2. The final remainder of MOD-8 of 13 is a Most Significant Bit (MSB).
3. The remainders of MOD-8 of 13 should be written from MSB to LSB to form the octal equivalent for the given decimal number (13)10.