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Stockholders' Equity, Comprehensive Income and Share-Based Compensation (Changes in Components of AOCI) (Details) - USD ($)
$ in Millions
3 Months Ended 6 Months Ended
Apr. 29, 2018
Apr. 30, 2017
Apr. 29, 2018
Apr. 30, 2017
Accumulated Other Comprehensive Income (Loss), Net of Tax [Roll Forward]        
Beginning Balance     $ 9,349 $ 7,217
Other comprehensive loss before reclassifications     (16) 17
Amounts reclassified out of AOCI     2 (12)
Other comprehensive income (loss), net of tax $ 1 $ (4) (14) 5
Ending Balance 7,042 8,212 7,042 8,212
Unrealized Gain on Investments, Net        
Accumulated Other Comprehensive Income (Loss), Net of Tax [Roll Forward]        
Beginning Balance     53 30
Other comprehensive loss before reclassifications     (3) 14
Amounts reclassified out of AOCI     2 1
Other comprehensive income (loss), net of tax     (1) 15
Ending Balance 52 45 52 45
Unrealized Gain (Loss) on Derivative Instruments Qualifying as Cash Flow Hedges        
Accumulated Other Comprehensive Income (Loss), Net of Tax [Roll Forward]        
Beginning Balance     (11) (18)
Other comprehensive loss before reclassifications     (13) 3
Amounts reclassified out of AOCI     2 (3)
Other comprehensive income (loss), net of tax     (11) 0
Ending Balance (22) (18) (22) (18)
Defined and Postretirement Benefit Plans        
Accumulated Other Comprehensive Income (Loss), Net of Tax [Roll Forward]        
Beginning Balance     (120) (141)
Other comprehensive loss before reclassifications     0 0
Amounts reclassified out of AOCI     (2) (10)
Other comprehensive income (loss), net of tax     (2) (10)
Ending Balance (122) (151) (122) (151)
Cumulative Translation Adjustments        
Accumulated Other Comprehensive Income (Loss), Net of Tax [Roll Forward]        
Beginning Balance     14 14
Other comprehensive loss before reclassifications     0 0
Amounts reclassified out of AOCI     0 0
Other comprehensive income (loss), net of tax     0 0
Ending Balance 14 14 14 14
AOCI Attributable to Parent        
Accumulated Other Comprehensive Income (Loss), Net of Tax [Roll Forward]        
Beginning Balance     (64) (115)
Other comprehensive income (loss), net of tax     (14) 5
Ending Balance $ (78) $ (110) $ (78) $ (110)