Decimal 315 in octal conversion provides the detailed information on what is the octal equivalent of (315)10, and the step-by-step work for how to convert the decimal (base-10) number 315 to its octal (base-8) equivalent.
(315)10 in octal is equal to:
(315)10 = (?)8
Perform successive MOD-8 operation for decimal 315, and mark the initial remainder as LSB and the final remainder as MSB as like the below.
MOD-8 of 315 | 315 / 8 = 39 | Remainder is 3 → LSB |
MOD-8 of 39 | 39 / 8 = 4 | Remainder is 7 |
MOD-8 of 4 | 4 / 8 = 0 | Remainder is 4 → MSB |
Arrange the remainders from MSB to LSB forms the octal equivalent of 315.
31510 = 4738
Hence,
315 in octal is 473
where,
315
10 is the given decimal number,
10 in 315
10 represents the base-10 or decimal number system,
473
8 is the octal equivalent of the decimal 315,
8 in 473
8 represents the base-8 or octal number system.
Important Notes: (315)10 in Octal
The below are some of the important notes to be remembered while converting the (base-10) decimal number 315 into a (base-8) octal equivalent.
- The first remainder of MOD-8 of 315 is a Least Significant Bit (LSB).
- The final remainder of MOD-8 of 315 is a Most Significant Bit (MSB).
- The remainders of MOD-8 of 315 should be written from MSB to LSB to form the octal equivalent for the given decimal number (315)10.