Decimal 170 in octal conversion provides the detailed information on what is the octal equivalent of (170)10, and the step-by-step work for how to convert the decimal (base-10) number 170 to its octal (base-8) equivalent.
(170)10 in octal is equal to:
(170)10 = (?)8
Perform successive MOD-8 operation for decimal 170, and mark the initial remainder as LSB and the final remainder as MSB as like the below.
MOD-8 of 170 | 170 / 8 = 21 | Remainder is 2 → LSB |
MOD-8 of 21 | 21 / 8 = 2 | Remainder is 5 |
MOD-8 of 2 | 2 / 8 = 0 | Remainder is 2 → MSB |
Arrange the remainders from MSB to LSB forms the octal equivalent of 170.
17010 = 2528
Hence,
170 in octal is 252
where,
170
10 is the given decimal number,
10 in 170
10 represents the base-10 or decimal number system,
252
8 is the octal equivalent of the decimal 170,
8 in 252
8 represents the base-8 or octal number system.
Important Notes: (170)10 in Octal
The below are some of the important notes to be remembered while converting the (base-10) decimal number 170 into a (base-8) octal equivalent.
- The first remainder of MOD-8 of 170 is a Least Significant Bit (LSB).
- The final remainder of MOD-8 of 170 is a Most Significant Bit (MSB).
- The remainders of MOD-8 of 170 should be written from MSB to LSB to form the octal equivalent for the given decimal number (170)10.