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Warranty, Guarantees and Contingencies (Details) - USD ($)
$ in Millions
3 Months Ended
Jan. 31, 2016
Jan. 25, 2015
Movement in Standard Product Warranty Accrual [Roll Forward]    
Beginning balance $ 126 $ 113
Provisions for warranty 26 37
Releases of reserves related to preexisting warranty (11) (1)
Consumption of reserves (22) (30)
Ending balance $ 119 $ 119