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Unaudited Quarterly Consolidated Financial Data (Details) (USD $)
In Millions, except Per Share data, unless otherwise specified
 3 Months Ended 12 Months Ended
Oct. 26, 2014
Jul. 27, 2014
Apr. 27, 2014
Jan. 26, 2014
Oct. 27, 2013
Jul. 28, 2013
Apr. 28, 2013
Jan. 27, 2013
Oct. 26, 2014
Oct. 27, 2013
Oct. 28, 2012
Unaudited Quarterly Consolidated Financial Data                      
Net sales $ 2,264us-gaap_SalesRevenueNet $ 2,265us-gaap_SalesRevenueNet $ 2,353us-gaap_SalesRevenueNet $ 2,190us-gaap_SalesRevenueNet $ 1,988us-gaap_SalesRevenueNet $ 1,975us-gaap_SalesRevenueNet $ 1,973us-gaap_SalesRevenueNet $ 1,573us-gaap_SalesRevenueNet $ 9,072us-gaap_SalesRevenueNet $ 7,509us-gaap_SalesRevenueNet $ 8,719us-gaap_SalesRevenueNet
Gross margin 959us-gaap_GrossProfit 992us-gaap_GrossProfit 1,001us-gaap_GrossProfit 891us-gaap_GrossProfit 795us-gaap_GrossProfit 806us-gaap_GrossProfit 808us-gaap_GrossProfit 582us-gaap_GrossProfit 3,843us-gaap_GrossProfit 2,991us-gaap_GrossProfit 3,313us-gaap_GrossProfit
Net income (loss) $ 256us-gaap_NetIncomeLoss $ 301us-gaap_NetIncomeLoss $ 262us-gaap_NetIncomeLoss $ 253us-gaap_NetIncomeLoss $ 183us-gaap_NetIncomeLoss $ 168us-gaap_NetIncomeLoss $ (129)us-gaap_NetIncomeLoss $ 34us-gaap_NetIncomeLoss $ 1,072us-gaap_NetIncomeLoss $ 256us-gaap_NetIncomeLoss $ 109us-gaap_NetIncomeLoss
Diluted earnings (loss) per share (in dollars per share) $ 0.21us-gaap_EarningsPerShareDiluted $ 0.24us-gaap_EarningsPerShareDiluted $ 0.21us-gaap_EarningsPerShareDiluted $ 0.21us-gaap_EarningsPerShareDiluted $ 0.15us-gaap_EarningsPerShareDiluted $ 0.14us-gaap_EarningsPerShareDiluted $ (0.11)us-gaap_EarningsPerShareDiluted $ 0.03us-gaap_EarningsPerShareDiluted $ 0.87us-gaap_EarningsPerShareDiluted $ 0.21us-gaap_EarningsPerShareDiluted $ 0.09us-gaap_EarningsPerShareDiluted