A minority voting circuit makes a decision based on the minority of votes. The logic receives THREE inputs x, y, and z.Together, these input variables are the binary representation ofthe number of members who vote "yes" out of 7 total members. For example, xyz = 100 indicates that 4 members voted``yes'', xyz = 0101 indicates that 5 members voted ``yes'', and soon. The voting circuit outputs 0 if the majority of members vote``yes'' out of 7 total members, and outputs 1 otherwise.
1) Express the voting logic function in a truth table.
2) Express it in canonical SOP form.
3) Using boolean algebra theorems, simplify the logic function so that it uses a minimum number of gates.