6 in Octal

Decimal 6 in octal conversion provides the detailed information on what is the octal equivalent of (6)10, and the step-by-step work for how to convert the decimal (base-10) number 6 to its octal (base-8) equivalent.

(6)10 in octal is equal to:
(6)10 = (?)8

Perform successive MOD-8 operation for decimal 6, and mark the initial remainder as LSB and the final remainder as MSB as like the below.

MOD-8 of 6

6 / 8 = 0

Remainder is 6 → LSB

Arrange the remainders from MSB to LSB forms the octal equivalent of 6.
6₁₀ = 6₈

Hence,
6 in octal is 6

where,
6₁₀ is the given decimal number,
10 in 6₁₀ represents the base-10 or decimal number system,
6₈ is the octal equivalent of the decimal 6,
8 in 6₈ represents the base-8 or octal number system.

Important Notes: (6)10 in Octal
The below are some of the important notes to be remembered while converting the (base-10) decimal number 6 into a (base-8) octal equivalent.

1. The first remainder of MOD-8 of 6 is a Least Significant Bit (LSB).
2. The final remainder of MOD-8 of 6 is a Most Significant Bit (MSB).
3. The remainders of MOD-8 of 6 should be written from MSB to LSB to form the octal equivalent for the given decimal number (6)10.