125 in Octal

Decimal 125 in octal conversion provides the detailed information on what is the octal equivalent of (125)10, and the step-by-step work for how to convert the decimal (base-10) number 125 to its octal (base-8) equivalent.

(125)10 in octal is equal to:
(125)10 = (?)8

Perform successive MOD-8 operation for decimal 125, and mark the initial remainder as LSB and the final remainder as MSB as like the below.

MOD-8 of 125	125 / 8 = 15	Remainder is 5 → LSB
MOD-8 of 15	15 / 8 = 1	Remainder is 7
MOD-8 of 1	1 / 8 = 0	Remainder is 1 → MSB

Arrange the remainders from MSB to LSB forms the octal equivalent of 125.
125₁₀ = 175₈

Hence,
125 in octal is 175

where,
125₁₀ is the given decimal number,
10 in 125₁₀ represents the base-10 or decimal number system,
175₈ is the octal equivalent of the decimal 125,
8 in 175₈ represents the base-8 or octal number system.

Important Notes: (125)10 in Octal
The below are some of the important notes to be remembered while converting the (base-10) decimal number 125 into a (base-8) octal equivalent.

1. The first remainder of MOD-8 of 125 is a Least Significant Bit (LSB).
2. The final remainder of MOD-8 of 125 is a Most Significant Bit (MSB).
3. The remainders of MOD-8 of 125 should be written from MSB to LSB to form the octal equivalent for the given decimal number (125)10.