Synteny refers to the preservation or conservation of gene order across different species, typically relative to their most recent common ancestor.
Based on the definition, synteny specifically relates to the local conservation of gene order between genomes.
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?