Detecting values from the Fibonacci sequence: Derive the simplified Boolean expression for the output function for a circuit with four inputs. The output should be 1 if the 4-bit value on the inputs is one of the values from the Fibonacci sequence, and zero otherwise. For example, if the four inputs are 01012 then the output f should be 1 because 01012 is 510 and 5 is one of the values in the Fibonacci sequence. Please name the inputs a,b,c,d and the output f. The input a corresponds to the most significant digit of the number on the inputs. Type your answer in the text box below. Show: (i) the truth table, and (ii) the simplified expression only. (Note: when typing Boolean expressions use a single quote character to indicate the