Decimal 65 in octal conversion provides the detailed information on what is the octal equivalent of (65)10, and the step-by-step work for how to convert the decimal (base-10) number 65 to its octal (base-8) equivalent.
(65)10 in octal is equal to:
(65)10 = (?)8
Perform successive MOD-8 operation for decimal 65, and mark the initial remainder as LSB and the final remainder as MSB as like the below.
MOD-8 of 65 | 65 / 8 = 8 | Remainder is 1 → LSB |
MOD-8 of 8 | 8 / 8 = 1 | Remainder is 0 |
MOD-8 of 1 | 1 / 8 = 0 | Remainder is 1 → MSB |
Arrange the remainders from MSB to LSB forms the octal equivalent of 65.
6510 = 1018
Hence,
65 in octal is 101
where,
65
10 is the given decimal number,
10 in 65
10 represents the base-10 or decimal number system,
101
8 is the octal equivalent of the decimal 65,
8 in 101
8 represents the base-8 or octal number system.
Important Notes: (65)10 in Octal
The below are some of the important notes to be remembered while converting the (base-10) decimal number 65 into a (base-8) octal equivalent.
- The first remainder of MOD-8 of 65 is a Least Significant Bit (LSB).
- The final remainder of MOD-8 of 65 is a Most Significant Bit (MSB).
- The remainders of MOD-8 of 65 should be written from MSB to LSB to form the octal equivalent for the given decimal number (65)10.