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(4 points) In this problem we will work through a round of DES. For notational simplicity, assume it is the first round. Please enter all answers as strings of O's and 1's. The input is the 64 bit block 0000000010001000000000000000000000000000000000000000010100000000 Suppose that the subkey for the current round is this 48 bit number: 010000000000000000000000000000000000000000000000 What does the 64 bit state look like after the IP transformation is applied to the input? 0000000010001000000000000000000 0000000000000000001010 Now find Lo and Ro, the left and right halves of the state. Lo = 0000000010000000 R = 00000001000011010000 What is the result of applying the expansion box to Ro? E(Ro) = 0000000000101000000000010110101000000000000 What is the result of XORing the subkey with E(RO)? ki E(RO) = 0000000000101000000000010110101000000000000 We now apply the S-box transformation. S(ki E(R) = 00101100010011100000010000100 Finally we apply the permutation box to complete the function f. f(Ro) = P(S(k, E(R))) = 00000000010010110001111001111 We can now compute the state of DES going into the next round. L1 = 00000001000011010000 R = 0000000001001011000101100111