1004 in Octal

Decimal 1004 in Octal form conversion provides the detailed information on what is the Octal equivalent of (1004)10, and the step-by-step solution using the most easiest method for how to convert decimal (base-10) number 1004 to its Octal (base-8) equivalent.

(1004)10 in Octal is equal to:
(1004)10 = (?)8

Perform successive MOD-8 operation for decimal 1004, and mark the initial remainder as LSB and the final remainder as MSB as like the below.

MOD-8 of 1004	1004 / 8 = 125	Remainder is 4 → LSB
MOD-8 of 125	125 / 8 = 15	Remainder is 5
MOD-8 of 15	15 / 8 = 1	Remainder is 7
MOD-8 of 1	1 / 8 = 0	Remainder is 1 → MSB

Arrange the remainders from MSB to LSB forms the Octal equivalent of 1004.
1004₁₀ = 1754₈

Hence,
1004 in Octal is 1754

where,
1004₁₀ is the given decimal number,
10 in 1004₁₀ represents the base-10 or decimal number system,
1754₈ is the Octal equivalent of the decimal 1004,
8 in 1754₈ represents the base-8 or Octal number system.

Important Notes: (1004)10 in Octal
The below are some of the important notes to be remembered while converting the (base-10) decimal number 1004 into a (base-8) Octal equivalent.

1. The first remainder of MOD-8 of 1004 is a Least Significant Bit (LSB).
2. The final remainder of MOD-8 of 1004 is a Most Significant Bit (MSB).
3. The remainders of MOD-8 of 1004 should be written from MSB to LSB to form the Octal equivalent for the given decimal number (1004)10.