I have to design a priority 8 input encoder which also has a NONE output that is TRUE if all of the inputs are 0. And also have to give a simplified bool equation for every output of the design and draw a schematic. So is this question just a loooooong exercise or does it have some tricky shortcuts?I know the truth table but preparing a 8 variable K-map for simplification is just crazy, am I right? Please help me by giving some hints, I am stuck...

Thank youu