For each problem use Boolean algebra to simplify the equation. SHOW YOUR WORK, one step per line. You should use only variable names, negation (use '!'), AND (by putting terms next to each other), OR (with ' +), and parentheses. In addition, each line should start with an equal sign ( ==). The first step has been done for you to show how. Example:f(Z,Y,X)=!ZY!X+ZY!X+!YX=(!Z+Z)Y!X+!YX=Y!X+!YX a. f(A,B,C)=!A!BC+A!B!C+!ABC+!AB!C+A!BC b. f(A,B,C,D)=(!A!C+AD)(B(D+!BC))