Decimal 27 in octal conversion provides the detailed information on what is the octal equivalent of (27)10, and the step-by-step work for how to convert the decimal (base-10) number 27 to its octal (base-8) equivalent.
(27)10 in octal is equal to:
(27)10 = (?)8
Perform successive MOD-8 operation for decimal 27, and mark the initial remainder as LSB and the final remainder as MSB as like the below.
MOD-8 of 27 | 27 / 8 = 3 | Remainder is 3 → LSB |
MOD-8 of 3 | 3 / 8 = 0 | Remainder is 3 → MSB |
Arrange the remainders from MSB to LSB forms the octal equivalent of 27.
2710 = 338
Hence,
27 in octal is 33
where,
27
10 is the given decimal number,
10 in 27
10 represents the base-10 or decimal number system,
33
8 is the octal equivalent of the decimal 27,
8 in 33
8 represents the base-8 or octal number system.
Important Notes: (27)10 in Octal
The below are some of the important notes to be remembered while converting the (base-10) decimal number 27 into a (base-8) octal equivalent.
- The first remainder of MOD-8 of 27 is a Least Significant Bit (LSB).
- The final remainder of MOD-8 of 27 is a Most Significant Bit (MSB).
- The remainders of MOD-8 of 27 should be written from MSB to LSB to form the octal equivalent for the given decimal number (27)10.