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Income Taxes (Details) - USD ($)
$ in Millions
3 Months Ended 6 Months Ended
Jul. 26, 2015
Jul. 27, 2014
Jul. 26, 2015
Jul. 27, 2014
Income Taxes        
Income tax expense $ 46 $ 27 $ 84 $ 53
Effective Income Tax Rate, Continuing Operations 64.00% 17.20% 34.30% 16.80%
Icera deferred tax asset write-off $ 27      
Tax benefit related to the restructuring charges $ 13      
Effective Income Tax Rate Reconciliation, at Federal Statutory Income Tax Rate     35.00%  
Annual projected effective tax rate     22.20%