The correct answer is A. 11110001101112.
To convert an octal number to a binary number, 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 octal number.
- Write down the remainder of each division as a binary digit.
- Starting from the right, read off the binary digits in reverse order.
For example, to convert the octal number 74328 to a binary number, we would divide 74328 by 8 as follows:
74328 ÷ 8 = 9281 with a remainder of 0
9281 ÷ 8 = 1160 with a remainder of 1
1160 ÷ 8 = 145 with a remainder of 4
145 ÷ 8 = 18 with a remainder of 1
18 ÷ 8 = 2 with a remainder of 6
2 ÷ 8 = 0 with
The binary digits are 0, 2, 1, 1, 1, 1, 1, 1, 1, 0. Reading them off in reverse order, we get the binary number 11110001101112.
Option B is incorrect because it has an extra 0 bit. Option C is incorrect because it has an extra 1 bit. Option D is incorrect because it has an extra 1 bit. Option E is incorrect because it is not a valid binary number.