The correct answer is A. 11001112.
To convert a hexadecimal number to binary, you can use the following steps:
- Divide the hexadecimal number by 2, and write down the remainder.
- Repeat step 1 until the quotient is 0.
- Write down the remainders in reverse order.
For example, to convert the hexadecimal number 6316 to binary, we would do the following:
6316 / 2 = 3158 with a remainder of 0
3158 / 2 = 1579 with a remainder of 0
1579 / 2 = 789 with a remainder of 1
789 / 2 = 394 with a remainder of 1
394 / 2 = 197 with a remainder of 0
197 / 2 = 98 with a remainder of 1
98 / 2 = 49 with a remainder of 0
49 / 2 = 24 with a remainder of 1
24 / 2 = 12 with a remainder of 0
12
6 / 2 = 3 with a remainder of 0
3 / 2 = 1 with a remainder of 1
Writing down the remainders in reverse order, we get 11001112. This is the binary equivalent of the hexadecimal number 6316.
The other options are incorrect because they do not represent the binary equivalent of the hexadecimal number 6316.