using switching algebra ( more often called Boolean algebra), simplify each of the following. show your steps. Label each step with which property above allows you to make each move

Using switching algebra (more often call following. Show your steps. Label each ste you to make each move olea n algebra), simplify each of the h which property above allows 1. F(x,y,x)-x'y'z' +x'yz + xyz 2. F(x,y,z) = x,y,z' + x'y'z + xy'z + xyz' 3. F(x,y,z) x'z+ xy'z + xyz 4, F(a,b,c) = a,b,c, + a,b,c + abc + ab,c 5. F(x,y,z) x,y,z' + x'yz' + x'yz + xyz 6. F(xy, 7. F(x,y,z) = x,y,z' + x'y'z + x,yz + xy'z + xyz + xyz' 8. Fla,,b,c) = a,b,c, + a'bc' + a,bc + ab,c + abc' + abc 9. F(a,b,c,d) = ab,c + bd + bcd' + ab,c' + abc'd 10.F(a,b,c,d) = ab' + bc,d, + abc,d + bc 11. F(a,b,c,d) = ab + a'bd + bcd + abc' + a'bc' + a,c 12. F(a,b,c,d) = abc + abd + bcd' 13. F(w,x,y,z) = xy + wXz + w,xy' + wxyz' + w,yz + wz (2 terms, 5 literals 3 terms, 7 literals) (1 term, 1 literal) (2 terms, 4 literals) (2 terms, 4 literals) z)- xyz' + xy'z+ x'yz txyz+ xyz' (2 solutions, each 3 terms, 6 literals) (3 terms, 5 literals) (3 terms, 5 literals) (3 terms, 6 literals) (3 terms, 5 literals (2 terms, 3 literals) (2 terms, 5 literals) (3 terms, 5 literals)