Decimal 215 in octal conversion provides the detailed information on what is the octal equivalent of (215)10, and the step-by-step work for how to convert the decimal (base-10) number 215 to its octal (base-8) equivalent.
(215)10 in octal is equal to:
(215)10 = (?)8
Perform successive MOD-8 operation for decimal 215, and mark the initial remainder as LSB and the final remainder as MSB as like the below.
MOD-8 of 215 | 215 / 8 = 26 | Remainder is 7 → LSB |
MOD-8 of 26 | 26 / 8 = 3 | Remainder is 2 |
MOD-8 of 3 | 3 / 8 = 0 | Remainder is 3 → MSB |
Arrange the remainders from MSB to LSB forms the octal equivalent of 215.
21510 = 3278
Hence,
215 in octal is 327
where,
215
10 is the given decimal number,
10 in 215
10 represents the base-10 or decimal number system,
327
8 is the octal equivalent of the decimal 215,
8 in 327
8 represents the base-8 or octal number system.
Important Notes: (215)10 in Octal
The below are some of the important notes to be remembered while converting the (base-10) decimal number 215 into a (base-8) octal equivalent.
- The first remainder of MOD-8 of 215 is a Least Significant Bit (LSB).
- The final remainder of MOD-8 of 215 is a Most Significant Bit (MSB).
- The remainders of MOD-8 of 215 should be written from MSB to LSB to form the octal equivalent for the given decimal number (215)10.