The correct answer is $\boxed{\text{C) 348}}$.
To convert a decimal number to octal, you divide the decimal number by 8 repeatedly, and write down the remainders in reverse order.
For example, to convert 2810 to octal:
$$2810 \div 8 = 351 \text{ R } 3$$
$$351 \div 8 = 43 \text{ R } 5$$
$$43 \div 8 = 5 \text{ R } 3$$
$$5 \div 8 = 0 \text{ R } 5$$
Writing down the remainders in reverse order, we get 5351. This is the octal equivalent of 2810.
Here is a table of the first 10 decimal numbers and their octal equivalents:
Decimal | Octal
——- | ——–
0 | 0
1 | 1
2 | 2
3 | 3
4 | 4
5 | 5
6 | 6
7 | 7
8 | 10
9 | 11
Option A, 328, is incorrect because the octal equivalent of 2810 is 348.
Option B, 408, is incorrect because the octal equivalent of 2810 is 348.
Option C, 348, is the correct answer because it is the octal equivalent of 2810.
Option D, 368,
is incorrect because the octal equivalent of 2810 is 348.Option E, None of the above, is incorrect because option C is the correct answer.