Goodwill, Purchased Technology and Other Intangible Assets (Amortization Expense) (Details) - USD ($) $ in Millions	3 Months Ended
	Jan. 28, 2018	Jan. 29, 2017
Finite-Lived Intangible Assets [Line Items]
Amortization expense	$ 50	$ 48
Cost of products sold
Finite-Lived Intangible Assets [Line Items]
Amortization expense	45	42
Research, development and engineering
Finite-Lived Intangible Assets [Line Items]
Amortization expense	0	1
Marketing and selling
Finite-Lived Intangible Assets [Line Items]
Amortization expense	$ 5	$ 5