Design a circuit that takes five inputs x 1 , x 2 , x 3 , x 4 , x 5 and outputs true if (and only if) there is an isolated value. We say an input is isolated if it is T and in-between two F values, or F and in-between two T values. For instance, your circuit should output true in the following three cases: x 1 = true , x 2 = true , x 3 = true , x 4 = false , x 5 = true . x 1 = false , x 2 = true , x 3 = false , x 4 = true , x 5 = false . x 1 = true , x 2 = false , x 3 = true , x 4 = false , x 5 = true . but it should output false in these cases: x 1 = false , x 2 = true , x 3 = true , x 4 = false , x 5 = false . x 1 = true , x 2 = true , x 3 = false , x 4 = false , x 5 = true . x 1 = false , x 2 = true , x 3 = true , x 4 = true , x 5 = false . Points given for this question will depend in part on the elegance of your solution. Using a truth table will work, but will give a very large circuit. Try to think about the kinds of inputs that are (or are not) permissible instead. Justify your answer