336 in Octal

Decimal 336 in octal conversion provides the detailed information on what is the octal equivalent of (336)10, and the step-by-step work for how to convert the decimal (base-10) number 336 to its octal (base-8) equivalent.

(336)10 in octal is equal to:
(336)10 = (?)8

Perform successive MOD-8 operation for decimal 336, and mark the initial remainder as LSB and the final remainder as MSB as like the below.

MOD-8 of 336	336 / 8 = 42	Remainder is 0 → LSB
MOD-8 of 42	42 / 8 = 5	Remainder is 2
MOD-8 of 5	5 / 8 = 0	Remainder is 5 → MSB

Arrange the remainders from MSB to LSB forms the octal equivalent of 336.
336₁₀ = 520₈

Hence,
336 in octal is 520

where,
336₁₀ is the given decimal number,
10 in 336₁₀ represents the base-10 or decimal number system,
520₈ is the octal equivalent of the decimal 336,
8 in 520₈ represents the base-8 or octal number system.

Important Notes: (336)10 in Octal
The below are some of the important notes to be remembered while converting the (base-10) decimal number 336 into a (base-8) octal equivalent.

1. The first remainder of MOD-8 of 336 is a Least Significant Bit (LSB).
2. The final remainder of MOD-8 of 336 is a Most Significant Bit (MSB).
3. The remainders of MOD-8 of 336 should be written from MSB to LSB to form the octal equivalent for the given decimal number (336)10.