Decimal 20 in Octal form conversion provides the detailed information on what is the Octal equivalent of (20)10, and the step-by-step solution using the most easiest method for how to convert decimal (base-10) number 20 to its Octal (base-8) equivalent.
(20)10 in Octal is equal to:
(20)10 = (?)8
Perform successive MOD-8 operation for decimal 20, and mark the initial remainder as LSB and the final remainder as MSB as like the below.
| MOD-8 of 20 | 20 / 8 = 2 | Remainder is 4 → LSB |
| MOD-8 of 2 | 2 / 8 = 0 | Remainder is 2 → MSB |
Arrange the remainders from MSB to LSB forms the Octal equivalent of 20.
2010 = 248
Hence,
20 in Octal is 24
where,
20
10 is the given decimal number,
10 in 20
10 represents the base-10 or decimal number system,
24
8 is the Octal equivalent of the decimal 20,
8 in 24
8 represents the base-8 or Octal number system.
Important Notes: (20)10 in Octal
The below are some of the important notes to be remembered while converting the (base-10) decimal number 20 into a (base-8) Octal equivalent.
- The first remainder of MOD-8 of 20 is a Least Significant Bit (LSB).
- The final remainder of MOD-8 of 20 is a Most Significant Bit (MSB).
- The remainders of MOD-8 of 20 should be written from MSB to LSB to form the Octal equivalent for the given decimal number (20)10.