302 in Octal

Decimal 302 in octal conversion provides the detailed information on what is the octal equivalent of (302)10, and the step-by-step work for how to convert the decimal (base-10) number 302 to its octal (base-8) equivalent.

(302)10 in octal is equal to:
(302)10 = (?)8

Perform successive MOD-8 operation for decimal 302, and mark the initial remainder as LSB and the final remainder as MSB as like the below.

MOD-8 of 302	302 / 8 = 37	Remainder is 6 → LSB
MOD-8 of 37	37 / 8 = 4	Remainder is 5
MOD-8 of 4	4 / 8 = 0	Remainder is 4 → MSB

Arrange the remainders from MSB to LSB forms the octal equivalent of 302.
302₁₀ = 456₈

Hence,
302 in octal is 456

where,
302₁₀ is the given decimal number,
10 in 302₁₀ represents the base-10 or decimal number system,
456₈ is the octal equivalent of the decimal 302,
8 in 456₈ represents the base-8 or octal number system.

Important Notes: (302)10 in Octal
The below are some of the important notes to be remembered while converting the (base-10) decimal number 302 into a (base-8) octal equivalent.

1. The first remainder of MOD-8 of 302 is a Least Significant Bit (LSB).
2. The final remainder of MOD-8 of 302 is a Most Significant Bit (MSB).
3. The remainders of MOD-8 of 302 should be written from MSB to LSB to form the octal equivalent for the given decimal number (302)10.