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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. 29, 2017
Jan. 31, 2016
Oct. 30, 2016
Oct. 25, 2015
Accumulated Other Comprehensive Income (Loss) [Line Items]        
Stockholders' Equity Attributable to Parent $ 7,687 $ 7,168 $ 7,217 $ 7,613
Accumulated Other Comprehensive Income (Loss), Net of Tax [Roll Forward]        
Other comprehensive income (loss) before reclassifications 10 (2)    
Amounts reclassified out of AOCI (1) 0    
Other comprehensive income (loss), net of tax 9 (2)    
Unrealized Gain on Investments, Net        
Accumulated Other Comprehensive Income (Loss) [Line Items]        
Stockholders' Equity Attributable to Parent 31 15 30 14
Accumulated Other Comprehensive Income (Loss), Net of Tax [Roll Forward]        
Other comprehensive income (loss) before reclassifications 0 1    
Amounts reclassified out of AOCI 1 0    
Other comprehensive income (loss), net of tax 1 1    
Unrealized Gain (Loss) on Derivative Instruments Qualifying as Cash Flow Hedges        
Accumulated Other Comprehensive Income (Loss) [Line Items]        
Stockholders' Equity Attributable to Parent (3) (18) (18) (15)
Accumulated Other Comprehensive Income (Loss), Net of Tax [Roll Forward]        
Other comprehensive income (loss) before reclassifications 10 (3)    
Amounts reclassified out of AOCI 5 0    
Other comprehensive income (loss), net of tax 15 (3)    
Defined and Postretirement Benefit Plans        
Accumulated Other Comprehensive Income (Loss) [Line Items]        
Stockholders' Equity Attributable to Parent (148) (105) (141) (105)
Accumulated Other Comprehensive Income (Loss), Net of Tax [Roll Forward]        
Other comprehensive income (loss) before reclassifications 0 0    
Amounts reclassified out of AOCI (7) 0    
Other comprehensive income (loss), net of tax (7) 0    
Cumulative Translation Adjustments        
Accumulated Other Comprehensive Income (Loss) [Line Items]        
Stockholders' Equity Attributable to Parent 14 14 14 14
Accumulated Other Comprehensive Income (Loss), Net of Tax [Roll Forward]        
Other comprehensive income (loss) before reclassifications 0 0    
Amounts reclassified out of AOCI 0 0    
Other comprehensive income (loss), net of tax 0 0    
AOCI Attributable to Parent        
Accumulated Other Comprehensive Income (Loss) [Line Items]        
Stockholders' Equity Attributable to Parent (106) (94) $ (115) $ (92)
Accumulated Other Comprehensive Income (Loss), Net of Tax [Roll Forward]        
Other comprehensive income (loss), net of tax $ 9 $ (2)