A - "both the" should follow "and the"
C- "has" is singular.
d- is illogical
e- "their" isnt clear

(A) the chips’ circuits more complex, both the power of the chips and the electronic devices they drive have –paralelism should be maintained both X and Y here both the power of chips and ‘’the power of ‘’ electronic devices so ‘’the power of’’ is needed after ‘’and’’-
(B) the chips’ circuits more complex, the power of both the chips and the electronic devices they drive has –correctly maintained parallelism the power (of both X and Y they drive)has vastly increased-
(C) the chips’ circuits are more complex, both the power of the chips and the electronic devices they drive has –paralelism should be maintained both X and Y here both the power of chips and ‘’the power of ‘’ electronic devices so ‘’the power of’’ is needed after ‘’and’’-
(D) their circuits are more complex, the power of both the chips and the electronic devices they drive have- have is wrong here since ‘’the power ‘’ is singular we need ‘’has’’ there is vague here it may refers to the chips or lines .Not clear.-
(E) their circuits more complex, both the power of the chips and the electronic devices they drive have–paralelism should be maintained both X and Y here both the power of chips and ‘’the power of ‘’ electronic devices so ‘’the power of’’ is needed after ‘’and’’-