680 in Octal

Decimal 680 in octal conversion provides the detailed information on what is the octal equivalent of (680)10, and the step-by-step work for how to convert the decimal (base-10) number 680 to its octal (base-8) equivalent.

(680)10 in octal is equal to:
(680)10 = (?)8

Perform successive MOD-8 operation for decimal 680, and mark the initial remainder as LSB and the final remainder as MSB as like the below.

MOD-8 of 680	680 / 8 = 85	Remainder is 0 → LSB
MOD-8 of 85	85 / 8 = 10	Remainder is 5
MOD-8 of 10	10 / 8 = 1	Remainder is 2
MOD-8 of 1	1 / 8 = 0	Remainder is 1 → MSB

Arrange the remainders from MSB to LSB forms the octal equivalent of 680.
680₁₀ = 1250₈

Hence,
680 in octal is 1250

where,
680₁₀ is the given decimal number,
10 in 680₁₀ represents the base-10 or decimal number system,
1250₈ is the octal equivalent of the decimal 680,
8 in 1250₈ represents the base-8 or octal number system.

Important Notes: (680)10 in Octal
The below are some of the important notes to be remembered while converting the (base-10) decimal number 680 into a (base-8) octal equivalent.

1. The first remainder of MOD-8 of 680 is a Least Significant Bit (LSB).
2. The final remainder of MOD-8 of 680 is a Most Significant Bit (MSB).
3. The remainders of MOD-8 of 680 should be written from MSB to LSB to form the octal equivalent for the given decimal number (680)10.