23 in Octal

Decimal 23 in octal conversion provides the detailed information on what is the octal equivalent of (23)10, and the step-by-step work for how to convert the decimal (base-10) number 23 to its octal (base-8) equivalent.

(23)10 in octal is equal to:
(23)10 = (?)8

Perform successive MOD-8 operation for decimal 23, and mark the initial remainder as LSB and the final remainder as MSB as like the below.

MOD-8 of 23	23 / 8 = 2	Remainder is 7 → LSB
MOD-8 of 2	2 / 8 = 0	Remainder is 2 → MSB

Arrange the remainders from MSB to LSB forms the octal equivalent of 23.
23₁₀ = 27₈

Hence,
23 in octal is 27

where,
23₁₀ is the given decimal number,
10 in 23₁₀ represents the base-10 or decimal number system,
27₈ is the octal equivalent of the decimal 23,
8 in 27₈ represents the base-8 or octal number system.

Important Notes: (23)10 in Octal
The below are some of the important notes to be remembered while converting the (base-10) decimal number 23 into a (base-8) octal equivalent.

1. The first remainder of MOD-8 of 23 is a Least Significant Bit (LSB).
2. The final remainder of MOD-8 of 23 is a Most Significant Bit (MSB).
3. The remainders of MOD-8 of 23 should be written from MSB to LSB to form the octal equivalent for the given decimal number (23)10.