[amp_mcq option1=”D8F916″ option2=”A8B916″ option3=”AA1716″ option4=”D9F816 E. None of the above” correct=”option3″]<\/p>\n
The correct answer is $\\boxed{\\text{D8F9}_{16}}$.<\/p>\n
To convert a binary number to hexadecimal, we divide the binary number into groups of four bits, starting from the right. Each group of four bits is then converted to a hexadecimal digit using the following table:<\/p>\n
| Binary | Hexadecimal |
\n|—|—|
\n| 0000 | 0 |
\n| 0001 | 1 |
\n| 0010 | 2 |
\n| 0011 | 3 |
\n| 0100 | 4 |
\n| 0101 | 5 |
\n| 0110 | 6 |
\n| 0111 | 7 |
\n| 1000 | 8 |
\n| 1001 | 9 |
\n| 1010 | A |
\n| 1011 | B |
\n| 1100 | C |
\n| 1101 | D |
\n| 1110 | E |
\n| 1111 | F |<\/p>\n
For example, the binary number $1010101000010111$ can be divided into the following groups of four bits:<\/p>\n
$10101010$
\n$00010111$<\/p>\n
The first group of four bits, $10101010$, is converted to the hexadecimal digit $\\text{D}$. The second group of four bits, $00010111$, is converted to the hexadecimal digit $\\text{F}$. Therefore, the hexadecimal equivalent of the binary number $1010101000010111$ is $\\text{D8F9}_{16}$.<\/p>\n
The other options are incorrect because they do not represent the correct hexadecimal equivalent of the binary number $1010101000010111$.<\/p>\n","protected":false},"excerpt":{"rendered":"
[amp_mcq option1=”D8F916″ option2=”A8B916″ option3=”AA1716″ option4=”D9F816 E. None of the above” correct=”option3″]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[727],"tags":[],"class_list":["post-46819","post","type-post","status-publish","format-standard","hentry","category-computer-fundamental-miscellaneous","no-featured-image-padding"],"yoast_head":"\n