165 in Octal

Decimal 165 in octal conversion provides the detailed information on what is the octal equivalent of (165)10, and the step-by-step work for how to convert the decimal (base-10) number 165 to its octal (base-8) equivalent.

(165)10 in octal is equal to:
(165)10 = (?)8

Perform successive MOD-8 operation for decimal 165, and mark the initial remainder as LSB and the final remainder as MSB as like the below.

MOD-8 of 165	165 / 8 = 20	Remainder is 5 → LSB
MOD-8 of 20	20 / 8 = 2	Remainder is 4
MOD-8 of 2	2 / 8 = 0	Remainder is 2 → MSB

Arrange the remainders from MSB to LSB forms the octal equivalent of 165.
165₁₀ = 245₈

Hence,
165 in octal is 245

where,
165₁₀ is the given decimal number,
10 in 165₁₀ represents the base-10 or decimal number system,
245₈ is the octal equivalent of the decimal 165,
8 in 245₈ represents the base-8 or octal number system.

Important Notes: (165)10 in Octal
The below are some of the important notes to be remembered while converting the (base-10) decimal number 165 into a (base-8) octal equivalent.

1. The first remainder of MOD-8 of 165 is a Least Significant Bit (LSB).
2. The final remainder of MOD-8 of 165 is a Most Significant Bit (MSB).
3. The remainders of MOD-8 of 165 should be written from MSB to LSB to form the octal equivalent for the given decimal number (165)10.