PowersOfTwo.py

def getArrayOfPowersOfTwos(number):
    """
    breaks an integer into an array of numbers that represent the number as a series of 2 to a power in order from lowest to highest.
    for example: 9 = 2**0 + 2**3. 
    >>> getArrayOfPowerssOfTwos(9)
    [0, 3]

    """
    array = list()

    while number != 0:
        # greatest power of two
        baseTwo = int(math.log(number,2))
        array.append(baseTwo)
        
        # remove the greatest power of 2
        number = number - 2**baseTwo

    array.reverse()

    return array