A priority encoder circuit has four inputs, X3-0. The circuit has three outputs: Z, Y1-0. If any of X3-0is 1, then Zis 1, and Y representsthe2-bit binary number whose value equals the index of the highest X which is on. For example, if X2=1 and X3=0, then the output are z=1, y1=1 and y0=0. if all input are 0, z=0 and y1 and y0 are dont-cares.

List in decimal form the minterm and dont-cares minterms of each outputs.