Cellular Automata perform distributed computation through the iteration of  (relatively) simple logic within individual cells in an array. The following table defines  the logic for a one-dimensional Cellular Automaton (

Construct a truth table in standard binary form for a function of four variables,F(W,X,Y,Z) = ABC,where ABC is the signed 3-bit sum of the signed 2-bit numbers WX and YZ.

Provide the correct answers to each question

The given function table is for an eight-bit ALU circuit with Bounded Signed Integers in Two’s Complement Representation. Modify it to represent signed 4-bit two's complement representation.

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 0000000000000100000000000100001000100000000000000000100000000000 Suppose that the subkey for the current round is this 48 bit number: 000000000000000010000000000000000000000000000000 What does the 64 bit state lok like after the IP transformation is applied to the input? Now find Ln and Ro, the left and right halves of the state. Lo =0 Ro = What is the result of applying the expansion box to Ro? E(Ro) = 0 What is the result of XORing the subkey with E(Ro)? k1 e E(Ro) = We now apply the S-box transformation. S(kı O E(Ro)) = Finally we apply the permutation box to complete the function f. f(Ro) = P(S(kı O E(Ro))) = We can now compute the state of DES going into the next round. L, =|| Rj =