Now that the navigation system is working, Bob needs to know where exactly to go to find the lair. To do this, he must communicate with HQ. HQ sent a message with the coordinates to Bob. Unfortunately, Bob can't read it because it is encrypted using an XOR cipher. You must decrypt the message using a key. A binary number message is encrypted by XORing it with a binary number key of the same length. It is decrypted using the same key. This works because BO0 = B and BB = 0 for any value of B. If our message bit is A, and the key bit is B the encrypted message bit is C = AOB. To decrypt the encrypted message bit C, XOR it with the key bit B again: COB = ABOB = A0 = A %3D Example 1: if 0011 is our encrypted message, and our key is 1110 The decrypted message is 0011 1110 = 1101 Example 2: if 0011 is our encrypted message, and our key is 0101 The decrypted message is 0011 0101 = 0110 Problem 3. Decrypt the following encrypted numbers with the key: 001011101001 a) b) 001100001111 001100110011