若数列\(\{a_{n}\}\)的前\(n\)项和\(S_{n}\)满足：\(S_{n}=2a_{n}-λ(λ > 0,n∈N*)\)．

\((\)Ⅰ\()\)证明：数列\(\{a_{n}\}\)为等比数列，并求\(a_{n}\)；

\((\)Ⅱ\()\)若\(λ=4\)，\(b_{n}=\begin{cases}{a}_{n},n为奇数, \\ {\log }_{2}{a}_{n},n为偶数\end{cases} (n∈N*)\)，求数列\(\{b_{n}\}\)的前\(n\)项和\(T_{n}\)．