The correct answer is A. 1101112.
To convert an octal number to binary, you can use the following steps:
- Divide the octal number by 8 repeatedly, starting with the largest power of 8 that is less than or equal to the number.
- Write down the remainder of each division as a binary digit.
- Start with the rightmost digit and work your way to the left.
- If the remainder of a division is 0, write down a 0.
- If the remainder of a division is 1, write down a 1.
For example, to convert the octal number 738 to binary, you would divide it by 8 as follows:
738 / 8 = 92 with a remainder of 6
92 / 8 = 11 with a remainder of 4
11 / 8 = 1 with a remainder of 3
1 / 8 = 0 with a remainder of 1
The binary equivalent of 738 is therefore 1101112.
Option B, 1111002, is incorrect because the remainder of 92 / 8 is 11, not 10.
Option C, 1100102, is incorrect because the remainder of 11 / 8 is 3, not 2.
Option D, 1110112, is the correct answer.
Option E, None of the above, is incorrect because one of the options is the correct answer.