213 in Octal

Decimal 213 in octal conversion provides the detailed information on what is the octal equivalent of (213)10, and the step-by-step work for how to convert the decimal (base-10) number 213 to its octal (base-8) equivalent.

(213)10 in octal is equal to:
(213)10 = (?)8

Perform successive MOD-8 operation for decimal 213, and mark the initial remainder as LSB and the final remainder as MSB as like the below.

MOD-8 of 213	213 / 8 = 26	Remainder is 5 → LSB
MOD-8 of 26	26 / 8 = 3	Remainder is 2
MOD-8 of 3	3 / 8 = 0	Remainder is 3 → MSB

Arrange the remainders from MSB to LSB forms the octal equivalent of 213.
213₁₀ = 325₈

Hence,
213 in octal is 325

where,
213₁₀ is the given decimal number,
10 in 213₁₀ represents the base-10 or decimal number system,
325₈ is the octal equivalent of the decimal 213,
8 in 325₈ represents the base-8 or octal number system.

Important Notes: (213)10 in Octal
The below are some of the important notes to be remembered while converting the (base-10) decimal number 213 into a (base-8) octal equivalent.

1. The first remainder of MOD-8 of 213 is a Least Significant Bit (LSB).
2. The final remainder of MOD-8 of 213 is a Most Significant Bit (MSB).
3. The remainders of MOD-8 of 213 should be written from MSB to LSB to form the octal equivalent for the given decimal number (213)10.