120 in Octal

Decimal 120 in Octal form conversion provides the detailed information on what is the Octal equivalent of (120)10, and the step-by-step solution using the most easiest method for how to convert decimal (base-10) number 120 to its Octal (base-8) equivalent.

(120)10 in Octal is equal to:
(120)10 = (?)8

Perform successive MOD-8 operation for decimal 120, and mark the initial remainder as LSB and the final remainder as MSB as like the below.

MOD-8 of 120	120 / 8 = 15	Remainder is 0 → 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 120.
120₁₀ = 170₈

Hence,
120 in Octal is 170

where,
120₁₀ is the given decimal number,
10 in 120₁₀ represents the base-10 or decimal number system,
170₈ is the Octal equivalent of the decimal 120,
8 in 170₈ represents the base-8 or Octal number system.

Important Notes: (120)10 in Octal
The below are some of the important notes to be remembered while converting the (base-10) decimal number 120 into a (base-8) Octal equivalent.

1. The first remainder of MOD-8 of 120 is a Least Significant Bit (LSB).
2. The final remainder of MOD-8 of 120 is a Most Significant Bit (MSB).
3. The remainders of MOD-8 of 120 should be written from MSB to LSB to form the Octal equivalent for the given decimal number (120)10.