118 in Octal

Decimal 118 in octal conversion provides the detailed information on what is the octal equivalent of (118)10, and the step-by-step work for how to convert the decimal (base-10) number 118 to its octal (base-8) equivalent.

(118)10 in octal is equal to:
(118)10 = (?)8

Perform successive MOD-8 operation for decimal 118, and mark the initial remainder as LSB and the final remainder as MSB as like the below.

MOD-8 of 118	118 / 8 = 14	Remainder is 6 → LSB
MOD-8 of 14	14 / 8 = 1	Remainder is 6
MOD-8 of 1	1 / 8 = 0	Remainder is 1 → MSB

Arrange the remainders from MSB to LSB forms the octal equivalent of 118.
118₁₀ = 166₈

Hence,
118 in octal is 166

where,
118₁₀ is the given decimal number,
10 in 118₁₀ represents the base-10 or decimal number system,
166₈ is the octal equivalent of the decimal 118,
8 in 166₈ represents the base-8 or octal number system.

Important Notes: (118)10 in Octal
The below are some of the important notes to be remembered while converting the (base-10) decimal number 118 into a (base-8) octal equivalent.

1. The first remainder of MOD-8 of 118 is a Least Significant Bit (LSB).
2. The final remainder of MOD-8 of 118 is a Most Significant Bit (MSB).
3. The remainders of MOD-8 of 118 should be written from MSB to LSB to form the octal equivalent for the given decimal number (118)10.