Decimal 604 in octal conversion provides the detailed information on what is the octal equivalent of (604)10, and the step-by-step work for how to convert the decimal (base-10) number 604 to its octal (base-8) equivalent.
(604)10 in octal is equal to:
(604)10 = (?)8
Perform successive MOD-8 operation for decimal 604, and mark the initial remainder as LSB and the final remainder as MSB as like the below.
MOD-8 of 604 | 604 / 8 = 75 | Remainder is 4 → LSB |
MOD-8 of 75 | 75 / 8 = 9 | Remainder is 3 |
MOD-8 of 9 | 9 / 8 = 1 | Remainder is 1 |
MOD-8 of 1 | 1 / 8 = 0 | Remainder is 1 → MSB |
Arrange the remainders from MSB to LSB forms the octal equivalent of 604.
60410 = 11348
Hence,
604 in octal is 1134
where,
604
10 is the given decimal number,
10 in 604
10 represents the base-10 or decimal number system,
1134
8 is the octal equivalent of the decimal 604,
8 in 1134
8 represents the base-8 or octal number system.
Important Notes: (604)10 in Octal
The below are some of the important notes to be remembered while converting the (base-10) decimal number 604 into a (base-8) octal equivalent.
- The first remainder of MOD-8 of 604 is a Least Significant Bit (LSB).
- The final remainder of MOD-8 of 604 is a Most Significant Bit (MSB).
- The remainders of MOD-8 of 604 should be written from MSB to LSB to form the octal equivalent for the given decimal number (604)10.