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Income Taxes (Details) - USD ($)
$ in Millions
3 Months Ended 9 Months Ended
Oct. 25, 2015
Oct. 26, 2014
Oct. 25, 2015
Oct. 26, 2014
Income Taxes        
Income tax expense (benefit) $ (1) $ 36 $ 83 $ 90
Effective Income Tax Rate, Continuing Operations (0.50%) 17.30% 16.90% 17.00%
Tax reserve release related to Icera     $ 49  
Icera deferred tax asset write-off     $ 27  
Effective Income Tax Rate Reconciliation, at Federal Statutory Income Tax Rate     35.00%