Decimal 370 in octal conversion provides the detailed information on what is the octal equivalent of (370)10, and the step-by-step work for how to convert the decimal (base-10) number 370 to its octal (base-8) equivalent.
(370)10 in octal is equal to:
(370)10 = (?)8
Perform successive MOD-8 operation for decimal 370, and mark the initial remainder as LSB and the final remainder as MSB as like the below.
MOD-8 of 370 | 370 / 8 = 46 | Remainder is 2 → LSB |
MOD-8 of 46 | 46 / 8 = 5 | Remainder is 6 |
MOD-8 of 5 | 5 / 8 = 0 | Remainder is 5 → MSB |
Arrange the remainders from MSB to LSB forms the octal equivalent of 370.
37010 = 5628
Hence,
370 in octal is 562
where,
370
10 is the given decimal number,
10 in 370
10 represents the base-10 or decimal number system,
562
8 is the octal equivalent of the decimal 370,
8 in 562
8 represents the base-8 or octal number system.
Important Notes: (370)10 in Octal
The below are some of the important notes to be remembered while converting the (base-10) decimal number 370 into a (base-8) octal equivalent.
- The first remainder of MOD-8 of 370 is a Least Significant Bit (LSB).
- The final remainder of MOD-8 of 370 is a Most Significant Bit (MSB).
- The remainders of MOD-8 of 370 should be written from MSB to LSB to form the octal equivalent for the given decimal number (370)10.