221 in Octal

Decimal 221 in octal conversion provides the detailed information on what is the octal equivalent of (221)10, and the step-by-step work for how to convert the decimal (base-10) number 221 to its octal (base-8) equivalent.

(221)10 in octal is equal to:
(221)10 = (?)8

Perform successive MOD-8 operation for decimal 221, and mark the initial remainder as LSB and the final remainder as MSB as like the below.

MOD-8 of 221	221 / 8 = 27	Remainder is 5 → LSB
MOD-8 of 27	27 / 8 = 3	Remainder is 3
MOD-8 of 3	3 / 8 = 0	Remainder is 3 → MSB

Arrange the remainders from MSB to LSB forms the octal equivalent of 221.
221₁₀ = 335₈

Hence,
221 in octal is 335

where,
221₁₀ is the given decimal number,
10 in 221₁₀ represents the base-10 or decimal number system,
335₈ is the octal equivalent of the decimal 221,
8 in 335₈ represents the base-8 or octal number system.

Important Notes: (221)10 in Octal
The below are some of the important notes to be remembered while converting the (base-10) decimal number 221 into a (base-8) octal equivalent.

1. The first remainder of MOD-8 of 221 is a Least Significant Bit (LSB).
2. The final remainder of MOD-8 of 221 is a Most Significant Bit (MSB).
3. The remainders of MOD-8 of 221 should be written from MSB to LSB to form the octal equivalent for the given decimal number (221)10.