8 in Octal
Decimal 8 in octal conversion provides the detailed information on what is the octal equivalent of (8)10, and the step-by-step work for how to convert the decimal (base-10) number 8 to its octal (base-8) equivalent.
(8)10 in octal is equal to:
(8)10 = (?)8
Perform successive MOD-8 operation for decimal 8, and mark the initial remainder as LSB and the final remainder as MSB as like the below.
| MOD-8 of 8 | 8 / 8 = 1 | Remainder is 0 → LSB |
| MOD-8 of 1 | 1 / 8 = 0 | Remainder is 1 → MSB |
Arrange the remainders from MSB to LSB forms the octal equivalent of 8.
810 = 108
Hence,
8 in octal is 10
where,
810 is the given decimal number,
10 in 810 represents the base-10 or decimal number system,
108 is the octal equivalent of the decimal 8,
8 in 108 represents the base-8 or octal number system.
Important Notes: (8)10 in Octal
The below are some of the important notes to be remembered while converting the (base-10) decimal number 8 into a (base-8) octal equivalent.
- The first remainder of MOD-8 of 8 is a Least Significant Bit (LSB).
- The final remainder of MOD-8 of 8 is a Most Significant Bit (MSB).
- The remainders of MOD-8 of 8 should be written from MSB to LSB to form the octal equivalent for the given decimal number (8)10.
For decimal values other than 8, use this below tool: