18 in Octal

Decimal 18 in octal conversion provides the detailed information on what is the octal equivalent of (18)10, and the step-by-step work for how to convert the decimal (base-10) number 18 to its octal (base-8) equivalent.

(18)10 in octal is equal to:
(18)10 = (?)8

Perform successive MOD-8 operation for decimal 18, and mark the initial remainder as LSB and the final remainder as MSB as like the below.

MOD-8 of 18	18 / 8 = 2	Remainder is 2 → LSB
MOD-8 of 2	2 / 8 = 0	Remainder is 2 → MSB

Arrange the remainders from MSB to LSB forms the octal equivalent of 18.
18₁₀ = 22₈

Hence,
18 in octal is 22

where,
18₁₀ is the given decimal number,
10 in 18₁₀ represents the base-10 or decimal number system,
22₈ is the octal equivalent of the decimal 18,
8 in 22₈ represents the base-8 or octal number system.

Important Notes: (18)10 in Octal
The below are some of the important notes to be remembered while converting the (base-10) decimal number 18 into a (base-8) octal equivalent.

1. The first remainder of MOD-8 of 18 is a Least Significant Bit (LSB).
2. The final remainder of MOD-8 of 18 is a Most Significant Bit (MSB).
3. The remainders of MOD-8 of 18 should be written from MSB to LSB to form the octal equivalent for the given decimal number (18)10.