D8F916
A8B916
A1716
D9F816 E. None of the above
Answer is Right!
Answer is Wrong!
The correct answer is $\boxed{\text{D8F9}_{16}}$.
To convert a binary number to hexadecimal, you can use the following steps:
- Divide the binary number into groups of four digits, starting from the right.
- If there are not enough digits to form a group of four, pad the number with leading zeros.
- Convert each group of four digits to its corresponding hexadecimal digit.
- The hexadecimal number is the sequence of hexadecimal digits you obtained in step 3.
In this case, the
binary number is $101000010111_2$. Dividing this number into groups of four digits, we get:$$101000010111_2
= \begin{bmatrix}1 & 0 & 1 & 0 \ 0 & 0 & 0 & 1 \ 0 & 1 & 1 & 1\end{bmatrix}_2$$Converting each group of four digits to its corresponding hexadecimal digit, we get:
$$\begin{bmatrix}1 & 0 & 1 & 0 \ 0 & 0 & 0 & 1 \ 0 & 1 & 1 & 1\end{bmatrix}2 = \begin{bmatrix}D & 8 & F & 9\end{bmatrix}{16}$$
Therefore, the hexadecimal number corresponding to the binary number $101000010111_2$ is $\boxed{\text{D8F9}_{16}}$.
The other options are incorrect because they do not correspond to the binary number $101000010111_2$.