Decimal 162 in octal conversion provides the detailed information on what is the octal equivalent of (162)10, and the step-by-step work for how to convert the decimal (base-10) number 162 to its octal (base-8) equivalent.
(162)10 in octal is equal to:
(162)10 = (?)8
Perform successive MOD-8 operation for decimal 162, and mark the initial remainder as LSB and the final remainder as MSB as like the below.
MOD-8 of 162 | 162 / 8 = 20 | Remainder is 2 → LSB |
MOD-8 of 20 | 20 / 8 = 2 | Remainder is 4 |
MOD-8 of 2 | 2 / 8 = 0 | Remainder is 2 → MSB |
Arrange the remainders from MSB to LSB forms the octal equivalent of 162.
16210 = 2428
Hence,
162 in octal is 242
where,
162
10 is the given decimal number,
10 in 162
10 represents the base-10 or decimal number system,
242
8 is the octal equivalent of the decimal 162,
8 in 242
8 represents the base-8 or octal number system.
Important Notes: (162)10 in Octal
The below are some of the important notes to be remembered while converting the (base-10) decimal number 162 into a (base-8) octal equivalent.
- The first remainder of MOD-8 of 162 is a Least Significant Bit (LSB).
- The final remainder of MOD-8 of 162 is a Most Significant Bit (MSB).
- The remainders of MOD-8 of 162 should be written from MSB to LSB to form the octal equivalent for the given decimal number (162)10.