Please do a,b,c

4. Use a K-map to find the minimum POS for each expression (POS is the opposite of SOP whereas, SOP targets the cells having l's, POS targets the cells having O's. Whereas, a variable whose value is 0 has a "bar" over it in SOP, POS is the exact opposite -a variable whose value is 1 has a bar over it): (a) (A + B + C)(A+ C)(A +B+C) (b) (x+ nx+x++ZX+Y+z (c) A(B+ C)(A + C)(A+ # + C)(A+ B + C)