189 in Octal

Decimal 189 in octal conversion provides the detailed information on what is the octal equivalent of (189)10, and the step-by-step work for how to convert the decimal (base-10) number 189 to its octal (base-8) equivalent.

(189)10 in octal is equal to:
(189)10 = (?)8

Perform successive MOD-8 operation for decimal 189, and mark the initial remainder as LSB and the final remainder as MSB as like the below.

MOD-8 of 189	189 / 8 = 23	Remainder is 5 → LSB
MOD-8 of 23	23 / 8 = 2	Remainder is 7
MOD-8 of 2	2 / 8 = 0	Remainder is 2 → MSB

Arrange the remainders from MSB to LSB forms the octal equivalent of 189.
189₁₀ = 275₈

Hence,
189 in octal is 275

where,
189₁₀ is the given decimal number,
10 in 189₁₀ represents the base-10 or decimal number system,
275₈ is the octal equivalent of the decimal 189,
8 in 275₈ represents the base-8 or octal number system.

Important Notes: (189)10 in Octal
The below are some of the important notes to be remembered while converting the (base-10) decimal number 189 into a (base-8) octal equivalent.

1. The first remainder of MOD-8 of 189 is a Least Significant Bit (LSB).
2. The final remainder of MOD-8 of 189 is a Most Significant Bit (MSB).
3. The remainders of MOD-8 of 189 should be written from MSB to LSB to form the octal equivalent for the given decimal number (189)10.