def convert_base_2_to_16(number):
    """
    Given a number represented as base 2, convert it to base 16.
    To solve this task properly, you should convert directly from
    one base to the other without computing the whole number.

    >>> convert_base_2_to_16([0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0])
    [3, 0, 0, 14]

    >>> convert_base_2_to_16([0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0])
    [6, 0, 8, 6]

    >>> convert_base_2_to_16([0, 0, 1])
    [1]

    >>> convert_base_2_to_16([1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1])
    [1, 6, 10, 1]
    """
    # Your code here...