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Stockholders' Equity, Comprehensive Income and Share-Based Compensation (Changes in Components of AOCI) (Details) - USD ($)
$ in Millions
3 Months Ended
Jan. 31, 2016
Jan. 25, 2015
Accumulated Other Comprehensive Income (Loss), Net of Tax [Roll Forward]    
Beginning balance $ (92) $ (76)
Other comprehensive income (loss) before reclassifications (2) 1
Amounts reclassified out of AOCI 0 (2)
Other comprehensive loss, net of tax (2) (1)
Ending balance (94) (77)
Unrealized Gain on Investments, Net [Member]    
Accumulated Other Comprehensive Income (Loss), Net of Tax [Roll Forward]    
Beginning balance 14 24
Other comprehensive income (loss) before reclassifications 1 (1)
Amounts reclassified out of AOCI 0 0
Other comprehensive loss, net of tax 1 (1)
Ending balance 15 23
Unrealized Gain (Loss) on Derivative Instruments Qualifying as Cash Flow Hedges [Member]    
Accumulated Other Comprehensive Income (Loss), Net of Tax [Roll Forward]    
Beginning balance (15) 0
Other comprehensive income (loss) before reclassifications (3) 3
Amounts reclassified out of AOCI 0 (2)
Other comprehensive loss, net of tax (3) 1
Ending balance (18) 1
Defined and Postretirement Benefit Plans [Member]    
Accumulated Other Comprehensive Income (Loss), Net of Tax [Roll Forward]    
Beginning balance (105) (105)
Other comprehensive income (loss) before reclassifications 0 0
Amounts reclassified out of AOCI 0 0
Other comprehensive loss, net of tax 0 0
Ending balance (105) (105)
Cumulative Translation Adjustments [Member]    
Accumulated Other Comprehensive Income (Loss), Net of Tax [Roll Forward]    
Beginning balance 14 5
Other comprehensive income (loss) before reclassifications 0 (1)
Amounts reclassified out of AOCI 0 0
Other comprehensive loss, net of tax 0 (1)
Ending balance $ 14 $ 4