Goodwill, Purchased Technology and Other Intangible Assets (Amortization Expense) (Details) - USD ($) $ in Millions	3 Months Ended
	Jan. 29, 2017	Jan. 31, 2016
Finite-Lived Intangible Assets [Line Items]
Amortization expense	$ 48	$ 48
Cost of products sold
Finite-Lived Intangible Assets [Line Items]
Amortization expense	42	43
Research, development, and engineering
Finite-Lived Intangible Assets [Line Items]
Amortization expense	1	0
Marketing and selling
Finite-Lived Intangible Assets [Line Items]
Amortization expense	$ 5	$ 5