The C-value paradox refers to a significant observation in genetics and molecular biology regarding the amount of DNA within a cell's nucleus (the C-value).
Specifically, the C-value paradox highlights the apparent lack of relationship between the size of an organism's genome (its total DNA content) and its biological complexity, often judged by factors like the number of genes or organismal intricacy.
Therefore, the C-value paradox is fundamentally about the disconnect between the quantity of DNA and the perceived complexity of the organism.
Consider the following multiple sequence alignment of four DNA sequences.
$\begin{matrix}A & C & T & A \\ A & C & T & G \\ A & G & T & C \\ A & G & C & T \end{matrix} $
Shannon's entropy of the above alignment is ________.
The transcription factor X binds a 10 base pair DNA stretch. In the DNA of an organism, X was found to bind at 20 distinct sites. An analysis of these 20 binding sites showed the following distribution:
| Base | Position in the binding site | |||||||||
| 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | |
| A | 11 | 0 | 0 | 0 | 16 | 2 | 4 | 0 | 4 | 3 |
| T | 3 | 0 | 19 | 0 | 1 | 3 | 4 | 20 | 2 | 4 |
| G | 4 | 20 | 0 | 0 | 2 | 4 | 6 | 0 | 12 | 2 |
| C | 2 | 0 | 1 | 20 | 1 | 11 | 6 | 0 | 2 | 11 |
What is the consensus sequence for the binding site of X?