There's really no good argument for big-endian encoding except that it's the ordering that we humans use in writing. And not even always that. We call our numbering system "Arabic", but for the Arabs, it little-endian.
For some reason humans seem to want high powers on the left, even if it makes no sense in a left-to-right language.
Take polynomials, they are typically written big-endian
ax^2 + bx + c
But infinite series have to be little-endian.
c_0 + c_1*x + c_2*x^2 ....
If you think for a moment about how you would write multiplication, you will see the latter form is much easier to reason about and program with.
For some reason humans seem to want high powers on the left, even if it makes no sense in a left-to-right language.
Take polynomials, they are typically written big-endian
But infinite series have to be little-endian. If you think for a moment about how you would write multiplication, you will see the latter form is much easier to reason about and program with.