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Goodwill, Purchased Technology and Other Intangible Assets (Amortization Expense) (Details) - USD ($)
$ in Millions
3 Months Ended
Jan. 31, 2016
Jan. 25, 2015
Finite-Lived Intangible Assets [Line Items]    
Amortization expense $ 48 $ 46
Cost of products sold [Member]    
Finite-Lived Intangible Assets [Line Items]    
Amortization expense 43 40
Marketing and selling [Member]    
Finite-Lived Intangible Assets [Line Items]    
Amortization expense 5 5
General and administrative [Member]    
Finite-Lived Intangible Assets [Line Items]    
Amortization expense $ 0 $ 1