PseudoHack

from math import log2, pow, floor
from random import randrange
BEGIN = 2**10
END = 2**20

def decimalToBinary(n):
    if n == 0:
        # print("Binary : 0 (No specified number of digits)")
        return 0
    elif n > END:
        print("Cannot make calculations with numbers higher than 2^20")
        return -1000
    else:
        numOfDigits = int(log2(n)) + 1
        digits = list()
        sum = n
        for i in range(numOfDigits-1, -1, -1):
            if sum >= pow(2, i):
                digits.append(1)
                sum -= pow(2, i)
            else:
                digits.append(0)
        for i in range(len(digits)):
            digits[i] = str(digits[i])
        return "".join(digits)

def completeWithZeros(digits, desiredLength):
    n = len(digits)
    result = ""
    remainder = desiredLength - n
    for i in range(remainder):
        result += "0"
    result += digits
    return result

def hack(n, desiredLength):
    digits = decimalToBinary(n)
    result = completeWithZeros(digits, desiredLength)
    print(result)

def printTime(millis):
    seconds = millis / 1000
    precision = 2
    multiplier = 10 ** precision
    secsPrinted = floor(multiplier * seconds) / multiplier
    r = randrange(BEGIN, END)
    print("It took " + str(secsPrinted) + " seconds for hacking " + str(r) + " archives.")

# MAIN FUNCTION
from timeit import default_timer as timer
start = timer()
numOfSamples = 2 * (10**5)
desiredLength = 20
for i in range(numOfSamples):
    rand = randrange(BEGIN, END)
    hack(rand, desiredLength)
end = timer()
millis = 1000 * (end - start)
printTime(millis)