Goodwill, Purchased Technology and Other Intangible Assets (Amortization Expense) (Details) - USD ($) $ in Millions	3 Months Ended		6 Months Ended
	May. 01, 2016	Apr. 26, 2015	May. 01, 2016	Apr. 26, 2015
Finite-Lived Intangible Assets [Line Items]
Amortization expense	$ 47	$ 46	$ 95	$ 92
Cost of products sold [Member]
Finite-Lived Intangible Assets [Line Items]
Amortization expense	42	40	84	80
Research, development, and engineering [Member]
Finite-Lived Intangible Assets [Line Items]
Amortization expense	0	0	1	0
Marketing and selling [Member]
Finite-Lived Intangible Assets [Line Items]
Amortization expense	5	5	10	10
General and administrative [Member]
Finite-Lived Intangible Assets [Line Items]
Amortization expense	$ 0	$ 1	$ 0	$ 2