245 in Octal

Decimal 245 in octal conversion provides the detailed information on what is the octal equivalent of (245)10, and the step-by-step work for how to convert the decimal (base-10) number 245 to its octal (base-8) equivalent.

(245)10 in octal is equal to:
(245)10 = (?)8

Perform successive MOD-8 operation for decimal 245, and mark the initial remainder as LSB and the final remainder as MSB as like the below.

MOD-8 of 245	245 / 8 = 30	Remainder is 5 → LSB
MOD-8 of 30	30 / 8 = 3	Remainder is 6
MOD-8 of 3	3 / 8 = 0	Remainder is 3 → MSB

Arrange the remainders from MSB to LSB forms the octal equivalent of 245.
245₁₀ = 365₈

Hence,
245 in octal is 365

where,
245₁₀ is the given decimal number,
10 in 245₁₀ represents the base-10 or decimal number system,
365₈ is the octal equivalent of the decimal 245,
8 in 365₈ represents the base-8 or octal number system.

Important Notes: (245)10 in Octal
The below are some of the important notes to be remembered while converting the (base-10) decimal number 245 into a (base-8) octal equivalent.

1. The first remainder of MOD-8 of 245 is a Least Significant Bit (LSB).
2. The final remainder of MOD-8 of 245 is a Most Significant Bit (MSB).
3. The remainders of MOD-8 of 245 should be written from MSB to LSB to form the octal equivalent for the given decimal number (245)10.