A total of $451$ students are enrolled in the ECE $270$ course in Spring $2024.$ What is the minimum number of bits required to represent each student uniquely? How many more students can be presented with the above determined minimum number of bits?

Question $6$ options:

$8$ bits, $61$ more students

$9$ bits, $61$ more students

$10$ bits, $573$ more students

$10$ bits, $61$ more students

None of the others