Computers and Technology

The following gives the number of bits in an encryption key. For each, calculate the average time required to crack that key assuming we can perform 10 million attempts per second. Be sure to use time units that are reasonably close to the cracking time, or in years if the time takes more than a year. --the number of trials to crack the key: 270 = 1.18 x 1021 ā‰ˆ 1021 trials would be needed
--Can perform 10 million (107) attempts per second, so to crack the key, it will take 1021 / 107 seconds = 1014 seconds

--1 year = 60 x 60 x 24 x 365 = 31536000 seconds ā‰ˆ 3 x 107
--1014 / (3 x 107) = 107 / 3 ā‰ˆ 3.333 x 106 or 3,333,333 years to crack the key)

a. 40 bits
b. 56 bits
c. 64 bits
d. 80 bits
e. 128 bits
f. 256 bits

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