Decimal 240 in octal conversion provides the detailed information on what is the octal equivalent of (240)10, and the step-by-step work for how to convert the decimal (base-10) number 240 to its octal (base-8) equivalent.
(240)10 in octal is equal to:
(240)10 = (?)8
Perform successive MOD-8 operation for decimal 240, and mark the initial remainder as LSB and the final remainder as MSB as like the below.
MOD-8 of 240 | 240 / 8 = 30 | Remainder is 0 → LSB |
MOD-8 of 30 | 30 / 8 = 3 | Remainder is 6 |
MOD-8 of 3 | 3 / 8 = 0 | Remainder is 3 → MSB |
Arrange the remainders from MSB to LSB forms the octal equivalent of 240.
24010 = 3608
Hence,
240 in octal is 360
where,
240
10 is the given decimal number,
10 in 240
10 represents the base-10 or decimal number system,
360
8 is the octal equivalent of the decimal 240,
8 in 360
8 represents the base-8 or octal number system.
Important Notes: (240)10 in Octal
The below are some of the important notes to be remembered while converting the (base-10) decimal number 240 into a (base-8) octal equivalent.
- The first remainder of MOD-8 of 240 is a Least Significant Bit (LSB).
- The final remainder of MOD-8 of 240 is a Most Significant Bit (MSB).
- The remainders of MOD-8 of 240 should be written from MSB to LSB to form the octal equivalent for the given decimal number (240)10.