173 in Octal

Decimal 173 in octal conversion provides the detailed information on what is the octal equivalent of (173)10, and the step-by-step work for how to convert the decimal (base-10) number 173 to its octal (base-8) equivalent.

(173)10 in octal is equal to:
(173)10 = (?)8

Perform successive MOD-8 operation for decimal 173, and mark the initial remainder as LSB and the final remainder as MSB as like the below.

MOD-8 of 173	173 / 8 = 21	Remainder is 5 → LSB
MOD-8 of 21	21 / 8 = 2	Remainder is 5
MOD-8 of 2	2 / 8 = 0	Remainder is 2 → MSB

Arrange the remainders from MSB to LSB forms the octal equivalent of 173.
173₁₀ = 255₈

Hence,
173 in octal is 255

where,
173₁₀ is the given decimal number,
10 in 173₁₀ represents the base-10 or decimal number system,
255₈ is the octal equivalent of the decimal 173,
8 in 255₈ represents the base-8 or octal number system.

Important Notes: (173)10 in Octal
The below are some of the important notes to be remembered while converting the (base-10) decimal number 173 into a (base-8) octal equivalent.

1. The first remainder of MOD-8 of 173 is a Least Significant Bit (LSB).
2. The final remainder of MOD-8 of 173 is a Most Significant Bit (MSB).
3. The remainders of MOD-8 of 173 should be written from MSB to LSB to form the octal equivalent for the given decimal number (173)10.