Decimal 267 in octal conversion provides the detailed information on what is the octal equivalent of (267)10, and the step-by-step work for how to convert the decimal (base-10) number 267 to its octal (base-8) equivalent.
(267)10 in octal is equal to:
(267)10 = (?)8
Perform successive MOD-8 operation for decimal 267, and mark the initial remainder as LSB and the final remainder as MSB as like the below.
MOD-8 of 267 | 267 / 8 = 33 | Remainder is 3 → LSB |
MOD-8 of 33 | 33 / 8 = 4 | Remainder is 1 |
MOD-8 of 4 | 4 / 8 = 0 | Remainder is 4 → MSB |
Arrange the remainders from MSB to LSB forms the octal equivalent of 267.
26710 = 4138
Hence,
267 in octal is 413
where,
267
10 is the given decimal number,
10 in 267
10 represents the base-10 or decimal number system,
413
8 is the octal equivalent of the decimal 267,
8 in 413
8 represents the base-8 or octal number system.
Important Notes: (267)10 in Octal
The below are some of the important notes to be remembered while converting the (base-10) decimal number 267 into a (base-8) octal equivalent.
- The first remainder of MOD-8 of 267 is a Least Significant Bit (LSB).
- The final remainder of MOD-8 of 267 is a Most Significant Bit (MSB).
- The remainders of MOD-8 of 267 should be written from MSB to LSB to form the octal equivalent for the given decimal number (267)10.