please show results through math and words not using coding Assume that the...

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please show results through math and words not using coding image

Assume that the Elementary CA update rule is given by the following truth table: 100 011 010 001 Timet Time t+1 Current Pattern Next State For Centre Cell 111 0 110 1 101 0 000 0 (3 points) (a) Derive Stephen Wolframs numbering convention number of this CA update rule. (4 points) (b) Assume that at time t=0 the Cellular Automaton initial configuration of 0 and 1 is as follows t=0 0 0 0 0 1 0 0 0 1 0 0 0 0 0 What will be the Cellular Automaton configuration of 1 and 0 at time t=4? Assume that the Elementary CA update rule is given by the following truth table: 100 011 010 001 Timet Time t+1 Current Pattern Next State For Centre Cell 111 0 110 1 101 0 000 0 (3 points) (a) Derive Stephen Wolframs numbering convention number of this CA update rule. (4 points) (b) Assume that at time t=0 the Cellular Automaton initial configuration of 0 and 1 is as follows t=0 0 0 0 0 1 0 0 0 1 0 0 0 0 0 What will be the Cellular Automaton configuration of 1 and 0 at time t=4

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