Decimal 238 in octal conversion provides the detailed information on what is the octal equivalent of (238)10, and the step-by-step work for how to convert the decimal (base-10) number 238 to its octal (base-8) equivalent.
(238)10 in octal is equal to:
(238)10 = (?)8
Perform successive MOD-8 operation for decimal 238, and mark the initial remainder as LSB and the final remainder as MSB as like the below.
MOD-8 of 238 | 238 / 8 = 29 | Remainder is 6 → LSB |
MOD-8 of 29 | 29 / 8 = 3 | Remainder is 5 |
MOD-8 of 3 | 3 / 8 = 0 | Remainder is 3 → MSB |
Arrange the remainders from MSB to LSB forms the octal equivalent of 238.
23810 = 3568
Hence,
238 in octal is 356
where,
238
10 is the given decimal number,
10 in 238
10 represents the base-10 or decimal number system,
356
8 is the octal equivalent of the decimal 238,
8 in 356
8 represents the base-8 or octal number system.
Important Notes: (238)10 in Octal
The below are some of the important notes to be remembered while converting the (base-10) decimal number 238 into a (base-8) octal equivalent.
- The first remainder of MOD-8 of 238 is a Least Significant Bit (LSB).
- The final remainder of MOD-8 of 238 is a Most Significant Bit (MSB).
- The remainders of MOD-8 of 238 should be written from MSB to LSB to form the octal equivalent for the given decimal number (238)10.