689 in Octal

Decimal 689 in octal conversion provides the detailed information on what is the octal equivalent of (689)10, and the step-by-step work for how to convert the decimal (base-10) number 689 to its octal (base-8) equivalent.

(689)10 in octal is equal to:
(689)10 = (?)8

Perform successive MOD-8 operation for decimal 689, and mark the initial remainder as LSB and the final remainder as MSB as like the below.

MOD-8 of 689	689 / 8 = 86	Remainder is 1 → LSB
MOD-8 of 86	86 / 8 = 10	Remainder is 6
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 689.
689₁₀ = 1261₈

Hence,
689 in octal is 1261

where,
689₁₀ is the given decimal number,
10 in 689₁₀ represents the base-10 or decimal number system,
1261₈ is the octal equivalent of the decimal 689,
8 in 1261₈ represents the base-8 or octal number system.

Important Notes: (689)10 in Octal
The below are some of the important notes to be remembered while converting the (base-10) decimal number 689 into a (base-8) octal equivalent.

1. The first remainder of MOD-8 of 689 is a Least Significant Bit (LSB).
2. The final remainder of MOD-8 of 689 is a Most Significant Bit (MSB).
3. The remainders of MOD-8 of 689 should be written from MSB to LSB to form the octal equivalent for the given decimal number (689)10.