Decimal 66 in octal conversion provides the detailed information on what is the octal equivalent of (66)10, and the step-by-step work for how to convert the decimal (base-10) number 66 to its octal (base-8) equivalent.
(66)10 in octal is equal to:
(66)10 = (?)8
Perform successive MOD-8 operation for decimal 66, and mark the initial remainder as LSB and the final remainder as MSB as like the below.
MOD-8 of 66 | 66 / 8 = 8 | Remainder is 2 → 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 66.
6610 = 1028
Hence,
66 in octal is 102
where,
66
10 is the given decimal number,
10 in 66
10 represents the base-10 or decimal number system,
102
8 is the octal equivalent of the decimal 66,
8 in 102
8 represents the base-8 or octal number system.
Important Notes: (66)10 in Octal
The below are some of the important notes to be remembered while converting the (base-10) decimal number 66 into a (base-8) octal equivalent.
- The first remainder of MOD-8 of 66 is a Least Significant Bit (LSB).
- The final remainder of MOD-8 of 66 is a Most Significant Bit (MSB).
- The remainders of MOD-8 of 66 should be written from MSB to LSB to form the octal equivalent for the given decimal number (66)10.