How to convert a binary string to an integer or a float?

No quick way to do it. Use something like this instead:

bin_to_num(Bin) ->
    N = binary_to_list(Bin),
    case string:to_float(N) of
        {error,no_float} -> list_to_integer(N);
        {F,_Rest} -> F
    end.

This should convert the binary to a list (string), then try to fit it in a float. When that can't be done, we return an integer. Otherwise, we keep the float and return that.

This is the pattern that we use:

binary_to_number(B) ->
    list_to_number(binary_to_list(B)).

list_to_number(L) ->
    try list_to_float(L)
    catch
        error:badarg ->
            list_to_integer(L)
    end.