$^{100} C_{0} -^{100} C_{2} +^{100} C_{4} +^{100} C_{8} - ........ +^{100} C_{100} =$ __

2^{- 49}

- 2

2^{50}

- 2^{50}

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^{100} C_{0} -^{100} C_{2} +^{100} C_{4} +^{100} C_{8} - ........ +^{100} C_{100} =

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^{100} C_{0} -^{100} C_{2} +^{100} C_{4} +^{100} C_{8} - ........ +^{100} C_{100} =

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