298 in Octal

Decimal 298 in octal conversion provides the detailed information on what is the octal equivalent of (298)10, and the step-by-step work for how to convert the decimal (base-10) number 298 to its octal (base-8) equivalent.

(298)10 in octal is equal to:
(298)10 = (?)8

Perform successive MOD-8 operation for decimal 298, and mark the initial remainder as LSB and the final remainder as MSB as like the below.

MOD-8 of 298	298 / 8 = 37	Remainder is 2 → 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 298.
298₁₀ = 452₈

Hence,
298 in octal is 452

where,
298₁₀ is the given decimal number,
10 in 298₁₀ represents the base-10 or decimal number system,
452₈ is the octal equivalent of the decimal 298,
8 in 452₈ represents the base-8 or octal number system.

Important Notes: (298)10 in Octal
The below are some of the important notes to be remembered while converting the (base-10) decimal number 298 into a (base-8) octal equivalent.

1. The first remainder of MOD-8 of 298 is a Least Significant Bit (LSB).
2. The final remainder of MOD-8 of 298 is a Most Significant Bit (MSB).
3. The remainders of MOD-8 of 298 should be written from MSB to LSB to form the octal equivalent for the given decimal number (298)10.