10 in Octal
Decimal 10 in octal conversion provides the detailed information on what is the octal equivalent of (10)10, and the step-by-step work for how to convert the decimal (base-10) number 10 to its octal (base-8) equivalent.
(10)10 in octal is equal to:
(10)10 = (?)8
Perform successive MOD-8 operation for decimal 10, and mark the initial remainder as LSB and the final remainder as MSB as like the below.
| MOD-8 of 10 | 10 / 8 = 1 | Remainder is 2 → LSB |
| MOD-8 of 1 | 1 / 8 = 0 | Remainder is 1 → MSB |
Arrange the remainders from MSB to LSB forms the octal equivalent of 10.
1010 = 128
Hence,
10 in octal is 12
where,
1010 is the given decimal number,
10 in 1010 represents the base-10 or decimal number system,
128 is the octal equivalent of the decimal 10,
8 in 128 represents the base-8 or octal number system.
Important Notes: (10)10 in Octal
The below are some of the important notes to be remembered while converting the (base-10) decimal number 10 into a (base-8) octal equivalent.
- The first remainder of MOD-8 of 10 is a Least Significant Bit (LSB).
- The final remainder of MOD-8 of 10 is a Most Significant Bit (MSB).
- The remainders of MOD-8 of 10 should be written from MSB to LSB to form the octal equivalent for the given decimal number (10)10.
For decimal values other than 10, use this below tool: