When designing a display unit for one hexadecimal digit they have found out that a particular pixel should light (represented by a high signal, i.e. a 1) for the following digits: 5, 7, a, b, d, e, f.The hexadecimal digits are given by the four signals x0, x1, x2, x3, which encodes the digit \left(\pi 3^{2} \pi 1 \pi\right) 2 Find a logic diagram with a minimal number of gates that gives the right signal for this pixel.