124 in Octal

Decimal 124 in octal conversion provides the detailed information on what is the octal equivalent of (124)10, and the step-by-step work for how to convert the decimal (base-10) number 124 to its octal (base-8) equivalent.

(124)10 in octal is equal to:
(124)10 = (?)8

Perform successive MOD-8 operation for decimal 124, and mark the initial remainder as LSB and the final remainder as MSB as like the below.

MOD-8 of 124	124 / 8 = 15	Remainder is 4 → 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 124.
124₁₀ = 174₈

Hence,
124 in octal is 174

where,
124₁₀ is the given decimal number,
10 in 124₁₀ represents the base-10 or decimal number system,
174₈ is the octal equivalent of the decimal 124,
8 in 174₈ represents the base-8 or octal number system.

Important Notes: (124)10 in Octal
The below are some of the important notes to be remembered while converting the (base-10) decimal number 124 into a (base-8) octal equivalent.

1. The first remainder of MOD-8 of 124 is a Least Significant Bit (LSB).
2. The final remainder of MOD-8 of 124 is a Most Significant Bit (MSB).
3. The remainders of MOD-8 of 124 should be written from MSB to LSB to form the octal equivalent for the given decimal number (124)10.