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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. 28, 2019
Apr. 29, 2018
Apr. 28, 2019
Apr. 29, 2018
Oct. 29, 2018
Accumulated Other Comprehensive Income (Loss), Net of Tax [Roll Forward]          
Beginning Balance $ 8,209 $ 8,817 $ 6,845 $ 9,630  
Adoption of new accounting standards [1]         $ 1,553
Other comprehensive income (loss) before reclassifications     8 (16)  
Amounts reclassified out of AOCI     (4) 2  
Other comprehensive income (loss), net of tax 16 1 4 (14)  
Ending Balance 8,201 7,324 8,201 7,324  
Unrealized Gain on Investments, Net          
Accumulated Other Comprehensive Income (Loss), Net of Tax [Roll Forward]          
Beginning Balance     7 53  
Adoption of new accounting standards         (17)
Other comprehensive income (loss) before reclassifications     13 (3)  
Amounts reclassified out of AOCI     0 2  
Other comprehensive income (loss), net of tax     13 (1)  
Ending Balance 3 52 3 52  
Unrealized Gain (Loss) on Derivative Instruments Qualifying as Cash Flow Hedges          
Accumulated Other Comprehensive Income (Loss), Net of Tax [Roll Forward]          
Beginning Balance     (9) (11)  
Adoption of new accounting standards         0
Other comprehensive income (loss) before reclassifications     (4) (13)  
Amounts reclassified out of AOCI     (4) 2  
Other comprehensive income (loss), net of tax     (8) (11)  
Ending Balance (17) (22) (17) (22)  
Defined and Postretirement Benefit Plans          
Accumulated Other Comprehensive Income (Loss), Net of Tax [Roll Forward]          
Beginning Balance     (137) (120)  
Adoption of new accounting standards         0
Other comprehensive income (loss) before reclassifications     0 0  
Amounts reclassified out of AOCI     0 (2)  
Other comprehensive income (loss), net of tax     0 (2)  
Ending Balance (137) (122) (137) (122)  
Cumulative Translation Adjustments          
Accumulated Other Comprehensive Income (Loss), Net of Tax [Roll Forward]          
Beginning Balance     14 14  
Adoption of new accounting standards         0
Other comprehensive income (loss) before reclassifications     (1) 0  
Amounts reclassified out of AOCI     0 0  
Other comprehensive income (loss), net of tax     (1) 0  
Ending Balance 13 14 13 14  
AOCI Attributable to Parent          
Accumulated Other Comprehensive Income (Loss), Net of Tax [Roll Forward]          
Beginning Balance (154) (79) (125) (64)  
Adoption of new accounting standards [1]         $ (17)
Other comprehensive income (loss), net of tax 16 1 4 (14)  
Ending Balance $ (138) $ (78) $ (138) $ (78)  
[1] Represents the reclassification adjustment related to the adoption of Accounting Standard Update (ASU) 2016-01 Financial Instruments-Overall (Subtopic 825-10): Recognition and Measurement of Financial Assets and Financial Liabilities and ASU 2016-16 Income Tax (Topic 740): Intra-Entity Transfers of Assets Other Than Inventory. See Note 1.