704 in Octal

Decimal 704 in octal conversion provides the detailed information on what is the octal equivalent of (704)10, and the step-by-step work for how to convert the decimal (base-10) number 704 to its octal (base-8) equivalent.

(704)10 in octal is equal to:
(704)10 = (?)8

Perform successive MOD-8 operation for decimal 704, and mark the initial remainder as LSB and the final remainder as MSB as like the below.

MOD-8 of 704	704 / 8 = 88	Remainder is 0 → LSB
MOD-8 of 88	88 / 8 = 11	Remainder is 0
MOD-8 of 11	11 / 8 = 1	Remainder is 3
MOD-8 of 1	1 / 8 = 0	Remainder is 1 → MSB

Arrange the remainders from MSB to LSB forms the octal equivalent of 704.
704₁₀ = 1300₈

Hence,
704 in octal is 1300

where,
704₁₀ is the given decimal number,
10 in 704₁₀ represents the base-10 or decimal number system,
1300₈ is the octal equivalent of the decimal 704,
8 in 1300₈ represents the base-8 or octal number system.

Important Notes: (704)10 in Octal
The below are some of the important notes to be remembered while converting the (base-10) decimal number 704 into a (base-8) octal equivalent.

1. The first remainder of MOD-8 of 704 is a Least Significant Bit (LSB).
2. The final remainder of MOD-8 of 704 is a Most Significant Bit (MSB).
3. The remainders of MOD-8 of 704 should be written from MSB to LSB to form the octal equivalent for the given decimal number (704)10.