Please solve these correctly

1. (4 points total - 2 points each) DES (Data Encryption Standard) was a cipher algorithm used in the 1970s to encrypt data during transmission. A sender used a 56-bit key to scramble their message then sent the scrambled message to the recipient. The recipient used a copy of the 56- bit key to unscramble and retrieve the original message. A bit is simply a 0 or 1, so a 56-bit key of is a string of 56 bits. For example, iqqal 2 som S19AJ 91A 01110010110011100010110100000110100001001000110001000011 is a possible key. a. How many DES keys are possible? Give your answer as both an expression and as a numeric value written in scientific notation. wire butteno) enoifizogong simots ed ) bns & , A tal (zinioq 8) .E b. Suppose that an eavesdropper has intercepted a scrambled message and is attempting to use brute force to recover the original message. This eavesdropper has an 101 impressively fast computer that can guess 1 billion keys per second. How long would it take this eavesdropper to go through all possible keys? Give your answer in years