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Balance Sheet Detail (Property, Plant and Equipment) (Details) - USD ($)
$ in Millions
3 Months Ended
Jan. 27, 2019
Oct. 28, 2018
Property, Plant and Equipment [Line Items]    
Gross property, plant and equipment $ 3,922 $ 3,812
Accumulated depreciation (2,466) (2,405)
Property, Plant and Equipment, Net 1,456 1,407
Land and improvements    
Property, Plant and Equipment [Line Items]    
Gross property, plant and equipment 245 245
Buildings and improvements    
Property, Plant and Equipment [Line Items]    
Gross property, plant and equipment $ 1,460 1,448
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 $ 1,335 1,282
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 $ 639 634
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 5 years  
Construction in progress    
Property, Plant and Equipment [Line Items]    
Gross property, plant and equipment $ 243 $ 203