33 in Octal

Decimal 33 in octal conversion provides the detailed information on what is the octal equivalent of (33)10, and the step-by-step work for how to convert the decimal (base-10) number 33 to its octal (base-8) equivalent.

(33)10 in octal is equal to:
(33)10 = (?)8

Perform successive MOD-8 operation for decimal 33, and mark the initial remainder as LSB and the final remainder as MSB as like the below.

MOD-8 of 33	33 / 8 = 4	Remainder is 1 → LSB
MOD-8 of 4	4 / 8 = 0	Remainder is 4 → MSB

Arrange the remainders from MSB to LSB forms the octal equivalent of 33.
33₁₀ = 41₈

Hence,
33 in octal is 41

where,
33₁₀ is the given decimal number,
10 in 33₁₀ represents the base-10 or decimal number system,
41₈ is the octal equivalent of the decimal 33,
8 in 41₈ represents the base-8 or octal number system.

Important Notes: (33)10 in Octal
The below are some of the important notes to be remembered while converting the (base-10) decimal number 33 into a (base-8) octal equivalent.

1. The first remainder of MOD-8 of 33 is a Least Significant Bit (LSB).
2. The final remainder of MOD-8 of 33 is a Most Significant Bit (MSB).
3. The remainders of MOD-8 of 33 should be written from MSB to LSB to form the octal equivalent for the given decimal number (33)10.