Balance Sheet Detail (Property, Plant and Equipment) (Details) - USD ($) $ in Millions	6 Months Ended
	Apr. 29, 2018	Oct. 29, 2017
Property, Plant and Equipment [Line Items]
Gross property, plant and equipment	$ 3,612	$ 3,311
Accumulated depreciation	(2,355)	(2,245)
Property, Plant and Equipment, Net	1,257	1,066
Land and improvements
Property, Plant and Equipment [Line Items]
Gross property, plant and equipment	221	160
Buildings and improvements
Property, Plant and Equipment [Line Items]
Gross property, plant and equipment	$ 1,387	1,315
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	$ 1,220	1,129
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	$ 601	572
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	$ 183	$ 135