(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 0 's and 1 's. The input is the 64 bit block 0100100001010000000000000000000000100000000000000000000000000000 Suppose that the subkey for the current round is this 48 bit number: 000000000000000000000000000000000000000000010000 What does the 64 bit state look like after the IP transformation is applied to the input? Now find L0 and R0, the left and right halves of the state. L0=R0= What is the result of applying the expansion box to R0 ? E(R0)= What is the result of XORing the subkey with E(R0) ? k1E(R0)= We now apply the S-box transformation. S(k1E(R0))= Finally we apply the permutation box to complete the function f. f(R0)=P(S(k1E(R0)))= We can now compute the state of DES going into the next round. L1=R1=