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Balance Sheet Detail (Property, Plant and Equipment) (Details) - USD ($)
$ in Millions
6 Months Ended
Apr. 30, 2017
Oct. 30, 2016
Property, Plant and Equipment [Line Items]    
Gross property, plant and equipment $ 3,172 $ 3,043
Accumulated depreciation (2,203) (2,106)
Net property, plant and equipment 969 937
Land and improvements    
Property, Plant and Equipment [Line Items]    
Gross property, plant and equipment 159 159
Buildings and improvements    
Property, Plant and Equipment [Line Items]    
Gross property, plant and equipment $ 1,278 1,261
Buildings and improvements | Min    
Property, Plant and Equipment [Line Items]    
Useful life 3 years  
Buildings and improvements | Max    
Property, Plant and Equipment [Line Items]    
Useful life 30 years  
Demonstration and manufacturing equipment    
Property, Plant and Equipment [Line Items]    
Gross property, plant and equipment $ 1,069 992
Demonstration and manufacturing equipment | Min    
Property, Plant and Equipment [Line Items]    
Useful life 3 years  
Demonstration and manufacturing equipment | Max    
Property, Plant and Equipment [Line Items]    
Useful life 5 years  
Furniture, fixtures and other equipment    
Property, Plant and Equipment [Line Items]    
Gross property, plant and equipment $ 570 547
Furniture, fixtures and other equipment | Min    
Property, Plant and Equipment [Line Items]    
Useful life 3 years  
Furniture, fixtures and other equipment | Max    
Property, Plant and Equipment [Line Items]    
Useful life 15 years  
Construction in progress    
Property, Plant and Equipment [Line Items]    
Gross property, plant and equipment $ 96 $ 84