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Summary of Significant Accounting Policies - Product Warranty Liability (Details) - USD ($)
$ / shares in Units, $ in Millions
3 Months Ended
Jan. 31, 2016
Jan. 31, 2015
Oct. 31, 2015
Oct. 31, 2014
Product Liability Contingency [Line Items]        
Product Warranty Accrual $ 922 $ 1,083 $ 994 $ 1,197
Product Warranty Accrual, Warranties Issued 26 50    
Product Warranty Accrual, Currency Translation, Increase (Decrease) (1) (2)    
Accrued Product Warranty And Deferred Warranty Revenue, Standard And Extended Warranty Programs, Roll Forward:        
Adjustments to pre-existing warranties(A)(B) 5 (57)    
Extended Warranty Program:        
Product Warranty Accrual, Payments (102) (105)    
Product Warranty Accrual, Current 421 497    
Product Warranty Accrual, Noncurrent 501 586    
Extended Warranty Programs [Member]        
Extended Warranty Program:        
Deferred Revenue, Revenue Recognized 38 37    
Deferred Revenue $ 383   $ 401  
Product Warranty Accrual [Member]        
Accrued Product Warranty And Deferred Warranty Revenue, Standard And Extended Warranty Programs, Roll Forward:        
Adjustments to pre-existing warranties(A)(B)   $ (57)    
Product Warranty Accrual, Preexisting Increase Decrease Per Share, Net of Tax   $ (0.70)