In this problem given is a logical function Y = [ (ABC +DE)(F +GH) ]' and I am supposed to draw the CMOS circuit implementing this. I know the pull-down path is correct but I am not sure if the pull-up path is correct.

For the pull-down path, OUT = 0 when A=B=C=F = 1, A=B=C=G=H = 1, D=E=F = 1, and D=E=G=H = 1. This means the transistors will be in the linear mode of operation and will pull down OUT to ground. For the pull-up path, the general rule is that transistors in series in the pull-down path become in parallel, and transistors in parallel in the pull-down network become in series. If A or B or C and E = 0, OUT = 1. If A or B or C and D = 0, OUT = 1. If F and G = 0, OUT = 1. If F and H = 0, OUT = 1. Thanks for the help.