164 in Octal

Decimal 164 in octal conversion provides the detailed information on what is the octal equivalent of (164)10, and the step-by-step work for how to convert the decimal (base-10) number 164 to its octal (base-8) equivalent.

(164)10 in octal is equal to:
(164)10 = (?)8

Perform successive MOD-8 operation for decimal 164, and mark the initial remainder as LSB and the final remainder as MSB as like the below.

MOD-8 of 164	164 / 8 = 20	Remainder is 4 → 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 164.
164₁₀ = 244₈

Hence,
164 in octal is 244

where,
164₁₀ is the given decimal number,
10 in 164₁₀ represents the base-10 or decimal number system,
244₈ is the octal equivalent of the decimal 164,
8 in 244₈ represents the base-8 or octal number system.

Important Notes: (164)10 in Octal
The below are some of the important notes to be remembered while converting the (base-10) decimal number 164 into a (base-8) octal equivalent.

1. The first remainder of MOD-8 of 164 is a Least Significant Bit (LSB).
2. The final remainder of MOD-8 of 164 is a Most Significant Bit (MSB).
3. The remainders of MOD-8 of 164 should be written from MSB to LSB to form the octal equivalent for the given decimal number (164)10.